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More "Geometry" Quotes from Famous Books
 ... were in two parts, the trivium —grammar, rhetoric, and logic, and the quadrivium— music, astronomy, geometry, and arithmetic. These were the seven liberal arts. A fresco in a chapel in the Church of S. Maria Novella at Florence illustrates these arts. On the right of the cartoon is the figure of grammar; beneath is Priscian. For the study of this subject ...
— Old English Libraries, The Making, Collection, and Use of Books • Ernest A. Savage
... past six o'clock, the barometer showed an elevation of 26,400 feet, or five miles to a fraction. The prospect seemed unbounded. Indeed, it is very easily calculated by means of spherical geometry, what a great extent of the earth's area I beheld. The convex surface of any segment of a sphere is, to the entire surface of the sphere itself, as the versed sine of the segment to the diameter of the sphere. Now, in my ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
... art of alphabetical writing from Phoenicia. Along with the fine wheat, and embroidered linen, and riches of the farther Indias which came from Egypt, there came, also, into Greece some knowledge of the sciences of astronomy and geometry, of architecture and mechanics, of medicine and chemistry; together with the mystic wisdom of the distant Orient. The scattered rays of light which gleamed in the eastern skies were thus converged in Greece, as on a focal point, to be rendered more brilliant by contact with the powerful Grecian ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... distinctions between different kinds of evidence and different degrees of consequent assent. He points out that neither Natural Religion nor Christianity can be proved true by demonstration like a conclusion in geometry, or in any kind of mathematical reasoning; that in default of this inference from self-evident premises to propositions of equal cogency, we must, in a matter of paramount practical importance, be content to judge, as fairly and soberly as we can, by that "probability" which Butler ...
— The Life and Times of John Wilkins • Patrick A. Wright-Henderson
... fascinating study." And promptly she commenced to plan Jurgen's return with her into Philistia, so that she might perfect herself in the higher branches of mathematics. "For you must teach me calculus and geometry and all other sciences in which these digits are employed. We can arrange some compromise with the priests. That is always possible with the priests of Philistia, and indeed the priests of Sesphra can be made to help anybody in anything. And as ...
— Jurgen - A Comedy of Justice • James Branch Cabell
... is not based solely upon psychological necessities, but also upon those factors which take into account the cultural aspect itself. Each subject of study, as, for instance, arithmetic, grammar, geometry, natural science, music, literature, should be presented by means of external objects upon a well-defined systematic plan. The essentially psychological character of the preliminary work must now be supplemented by the collaboration of specialists in each subject, ...
— Spontaneous Activity in Education • Maria Montessori
... let me make you blind; They have taught you to see Only a mean arithmetic on the face of things, A cunning algebra in the faces of men, And God like geometry Completing his circles, ...
— Amores - Poems • D. H. Lawrence
... it out flat; we beat it back square; we battered it into every form known to geometry - but we could not make a hole in it. Then George went at it, and knocked it into a shape, so strange, so weird, so unearthly in its wild hideousness, that he got frightened and threw away the mast. Then we all three sat round it on the ...
— Three Men in a Boa • Jerome K. Jerome
... necessary for the solution of many other geometrical questions. This they did by the construction, from various curves and sections, of certain instruments called mesographs. Plato was much vexed at this, and inveighed against them for destroying the real excellence of geometry by making it leave the region of pure intellect and come within that of the senses, and become mixed up with bodies which require much base servile labour. So mechanics became separated from geometry, and, long regarded ...
— Plutarch's Lives, Volume II • Aubrey Stewart & George Long
... doing them, old timer, whether you like them or not," said Joe. "It's going to be a tough term for me, too. I'll be taking up geometry this term, and ...
— The Radio Boys at the Sending Station - Making Good in the Wireless Room • Allen Chapman
... James VI, made provision for the appointment of three Regents, or Professors, along with the Principal. The first Regent was required to teach Rhetoric and Greek, the second Logic, Ethics, and the principles of Arithmetic and Geometry, and the third, who was also sub principal, Physiology, Geography, Astrology, and Chronology (See Copy of the Nova Erectio in Evidence for University Commissioners for Scotland vol. 8. p. 241 London, 1837). In the year 1581, the Archbishop of Glasgow gifted to ...
— The Works of the Rev. Hugh Binning • Hugh Binning
... he could fill, at least in part, the gaps in his scientific education. In fact, an understanding of Talmudic law presupposes a certain amount of information-geometry and botany for questions concerning land, astronomy for the fixation of the calendar, zoology for dietary laws, and so on. Rashi's knowledge, then, was less frequently defective than one is led to suppose, although sometimes he lagged behind the Talmud itself. It has been noted that of 127 ...
— Rashi • Maurice Liber
... liberal than that which it had supplanted. There was also some instruction in modern languages,—German, French and Italian,—all of very slight value. But the substance of the instruction consisted in learning to translate rather easy Latin and Greek, writing Latin, and courses in algebra and geometry ...
— Autobiography of Seventy Years, Vol. 1-2 • George Hoar
... the following branches:—French, book-keeping, ancient history, ecclesiastical history, history of literature, composition, political economy, American constitution, law, natural theology, mental philosophy, geometry, trigonometry, algebra, natural philosophy, astronomy, chemistry, botany, mineralogy, geology, natural history, and technology, ...
— Diary in America, Series One • Frederick Marryat (AKA Captain Marryat)
... source of its power? The whole secret is that no art does "compete with life." Man's one method, whether he reasons or creates, is to half-shut his eyes against the dazzle and confusion of reality. The arts, like arithmetic and geometry, turn away their eyes from the gross, coloured and mobile nature at our feet, and regard instead a certain figmentary abstraction. Geometry will tell us of a circle, a thing never seen in nature; asked about a green circle or an iron circle, it lays its hand upon its mouth. So ...
— Memories and Portraits • Robert Louis Stevenson
... person to do at least one thing well. As a general rule, the painter, who has spent his youth and manhood in studying the canvas, had better not study the stars; and the artist, who has power to bring the form of life from the cold marble, has no right to solve problems in geometry, weigh planets, or calculate eclipses. The proper choice of the business of life may do much to perfect our social system, and it will certainly advance our material prosperity. There is everywhere in our civilization ...
— Thoughts on Educational Topics and Institutions • George S. Boutwell
... breakfast and read history until eight, then repeat what the English call a 'constitutional,' viz.: another walk until prayers, devoting the time intervening between prayers and recitation, to Algebra. After recitation, I will study Geometry for three-quarters of an hour, Latin for half an hour, and be ready for recitation again at two o'clock. This will complete my regular course of study, and, by carrying out this routine, I can dine at noon, and also have a considerable amount of time for miscellaneous ...
— Sword and Pen - Ventures and Adventures of Willard Glazier • John Algernon Owens
... found to be well supplied with spelling-books, reading-books, arithmetics, and grammars in the modern language, also with works on geometry and trigonometry. There was, therefore, much less preparatory work to be done for them in the way of education, than was supposed. A geography was needed, and the part relating to ancient Armenia was prepared by Peshtimaljian. A high ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume I. • Rufus Anderson
... No. 1), who thus discovered the aberrations of the 5th order (of which there are nine), and possibly the shortest proof of the practical (Seidel) formulae. A. Gullstrand (vide supra, and Ann. d. Phys., 1905, 18, p. 941) founded his theory of aberrations on the differential geometry of ...
— Project Gutenberg Encyclopedia
... supported himself by painting on glass, portrait painting (which he practiced after a fashion), surveying, and planning sites for houses and gardens. In copying or inventing patterns for painted windows, he had acquired a knowledge of geometry and considerable skill in the use of a rule and compass. His love of knowledge for its own sake made him follow up the study of geometry, as far as he could pursue it, and hence ...
— Eclectic School Readings: Stories from Life • Orison Swett Marden
... to these structures this order of beauty cannot be denied, but even this is vitiated by a failure to press the advantage home: the ornate facades are notably less impressive than those whose grim and stark geometry is unmitigated by the grave-clothes of dead styles. Instances there are of strivings toward a beauty that is fresh and living, but they are so unsuccessful and infrequent as to be negligible. However impressive these buildings may be by reason of their ordered geometry, their weight and magnitude, ...
— Architecture and Democracy • Claude Fayette Bragdon
... find, have been made to this argument; neither of which is in my opinion satisfactory. The first is, that the objects of geometry, those surfaces, lines and points, whose proportions and positions it examines, are mere ideas in the mind; I and not only never did, but never can exist in nature. They never did exist; for no one will pretend to draw a line or make a surface entirely conformable to the definition: ...
— A Treatise of Human Nature • David Hume
... and his head so far in the shadow that one saw only two glowing lights, reflected from the fire on the hearth. He spoke simply, and utterly without emotion; with the manner of a teacher setting forth to a group of scholars an axiom in geometry, he would enunciate such propositions as made the hair of an ordinary person rise on end. And when the auditor had asserted his non-comprehension, he would proceed to elucidate by some new proposition, yet more appalling. To Jurgis the Herr Dr. Schliemann assumed the proportions of a ...
— The Jungle • Upton Sinclair
... Meantime, my boys had been trying to measure the tree with the long canes I had brought, and came laughing to report to me, that I ought to have got them ten times as long to reach even the lowest branches. "There is a simpler mode than that," said I, "which geometry teaches us, and by which the ...
— The Swiss Family Robinson; or Adventures in a Desert Island • Johann David Wyss
... in the development of Descartes' system of thought preceded the metaphysical. His great achievements in analytical geometry, in optics, in physical research, his explanation of the laws of nature, and their application in his theory of the material universe, belong to the history of science. Algebra and geometry led him towards his method ...
— A History of French Literature - Short Histories of the Literatures of the World: II. • Edward Dowden
... official and universal language; a State system of worship, and, very soon, a Church and State orthodoxy. A systematic code of laws, full and precise, admirable for the rule of private life, a sort of moral geometry in which the theorems, rigorously linked together, are attached to the definitions and axioms of abstract justice. A scale of grades, one above the other, which everybody may ascend from the first to the last; titles of nobility more and ...
— The Origins of Contemporary France, Volume 5 (of 6) - The Modern Regime, Volume 1 (of 2)(Napoleon I.) • Hippolyte A. Taine
... thing: vnleast they vse the name of Algebra. And therin (commonly) is a dubble error. The one, of them, which thinke it to be of Geber his inuentyng: the other of such as call it Algebra. For, first, though Geber for his great skill in Numbers, Geometry, Astronomy, and other maruailous Artes, mought haue semed hable to haue first deuised the sayd Rule: and also the name carryeth with it a very nere likenes of Geber his name: yet true it is, that a Greke Philosopher and Mathematicien, named Diophantus, ...
— The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara • John Dee
... he might assert his individuality and depart from the family pattern had not ventured to show its face. For too many years had his ancestors been impressing him with his duty to the family traditions. He merely studied it, as one who has no fancy for geometry will study geometry, because it cannot be helped. The path was there, carefully staked out and bordered; to-day his feet had been placed on it, and now he must walk. As he sat he looked ...
— Youth Challenges • Clarence B Kelland
... Condorcet, Algebra, and Geometry of Clairaut, the Trigonometry of Lacroix or Legendre, to form ...
— How to Form a Library, 2nd ed • H. B. Wheatley
... department of mathematics. In the second place, he was a Quaker, and a man who liked the right sort of boys. And so a candidate who was a little weak in the languages, but was strong in arithmetic and geometry—and was a brave Quaker boy, besides—was not to be ...
— Herbert Hoover - The Man and His Work • Vernon Kellogg
... the boy's love of wandering about, collecting "poundstones," "pundips," and other stony curiosities which lay scattered about the adjoining land, he yet enabled him to purchase a few of the necessary books wherewith to instruct himself in the rudiments of geometry and surveying; for the boy was already destined for the business of a land-surveyor. One of his marked characteristics, even as a youth, was the accuracy and keenness of his observation; and what he once clearly saw he never forgot. He began to draw, attempted to colour, and practised the arts of ...
— Self Help • Samuel Smiles
... we contend, must necessarily reason, from assumptions, not from facts. It is built upon hypotheses, strictly analogous to those which, under the name of definitions, are the foundation of the other abstract sciences. Geometry presupposes an arbitrary definition of a line, "that which has length but not breadth." Just in the same manner does Political Economy presuppose an arbitrary definition of man, as a being who invariably ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill
... regarding the exact construction and measurements of altars, gave the world algebra; the pyramid builders of Egypt, who erected vast tombs to protect royal mummies, had perforce to lay the groundwork of the science of geometry; and the Babylonian priests who elaborated the study of astrology became great astronomers because they found it necessary to observe and record accurately the movements of the ...
— Myths of Babylonia and Assyria • Donald A. Mackenzie
... must still have appeared improbable until it had come to seem likely that invariability was the common rule of all nature. The Greeks and Romans at the Christian era had reached a point of advancement at which this supposition had become probable. The admirable height to which geometry had already been carried, had familiarized the educated mind with the conception of laws absolutely invariable. The logical analysis of the intellectual processes by Aristotle had shown a similar uniformity of law ...
— Auguste Comte and Positivism • John-Stuart Mill
... your planets, would indicate that. Their own world was probably even larger—they were forced to wear pressure suits even on that large world, and could jump all over, you said. On so huge a sphere as their native world seems to be, the gravity would be so intense as to distort space. Geometry, such as yours seems to be, and such as ours was, could never be developed, for you assume the existence of a straight line, and of an absolute plane surface. These things cannot exist in space, but on small worlds, far from the ...
— Invaders from the Infinite • John Wood Campbell
... promenaded on horseback and named a bachelor. He might—indeed he should—follow the career of his protege at the Mhersa, where he studies the principles of arithmetic, the rudiments of history, the elements of geometry, and the theology of Sidi-Khalil, until he emerges in a few years a Thaleb, or lettered man. Perhaps the Thaleb may go farther, and become an Adoul or notary, a Fekky or doctor, nay—who knows?—an Alem or sage. Ah! how ...
— Romantic Spain - A Record of Personal Experiences (Vol. II) • John Augustus O'Shea
... which I had twice failed in learning when at school, I took Cocker's book of arithmetic, and went through the whole by myself with great ease. I also read Seller's and Shermy's books of navigation, and became acquainted with the little geometry they contain; but never proceeded far in that science. And I read about this time Locke On Human Understanding, and the Art of Thinking, by Messrs. ...
— Children's Literature - A Textbook of Sources for Teachers and Teacher-Training Classes • Charles Madison Curry
... thus become quite evident that, turn and twist our conceptions as we may, it is impossible, without having recourse to intuition, to arrive at the sum total or product by means of the mere analysis of our conceptions. Just as little is any principle of pure geometry analytical. "A straight line between two points is the shortest," is a synthetical proposition. For my conception of straight contains no notion of quantity, but is merely qualitative. The conception of the shortest is therefore ...
— The Critique of Pure Reason • Immanuel Kant
... were solely intended for astronomical uses; and certainly, if not altogether true, it bespeaks, at all events, an intimate acquaintance with astronomical rules, as well as a due regard to the principles of geometry. Others have fancied them intended for sepulchres; and as the Egyptians, taught by their ancient Chaldean victors, connected astronomy with their funereal and religious ceremonies, they seem in this to be not far astray, if we but ...
— The God-Idea of the Ancients - or Sex in Religion • Eliza Burt Gamble
... iron lips. It is a place also for profound mathematical meditation. It was in the left hand try-pot of the Pequod, with the soapstone diligently circling round me, that I was first indirectly struck by the remarkable fact, that in geometry all bodies gliding along the cycloid, my soapstone for example, will descend from any point in precisely the same time. Removing the fire-board from the front of the try-works, the bare masonry of that side is exposed, penetrated by the two iron ...
— Moby-Dick • Melville
... in it is finished. Let us go back to the measuring of which the Osmia was so lavish. What a magnificent argument in favour of the reasoning-power of animals! To find geometry, the surveyor's art, in an Osmia's tiny brain! An insect that begins by taking the measurements of the room to be constructed, just as any master-builder might do! Why, it's splendid, it's enough to cover with confusion those horrible sceptics who persist ...
— Bramble-bees and Others • J. Henri Fabre
... upon altogether new principles, hitherto undiscovered by any excepting himself, and for which he expects a Patent from Trinity College, Dublin; or, at any rate, from Squire Johnston, Esq., who paternizes many of the pupils; Book-keeping, by single and double entry—Geometry, Trigonometry, Stereometry, Mensuration, Navigation, Guaging, Surveying, Dialling, Astronomy, Astrology, Austerity, Fluxions, Geography, ancient and modern—Maps, the Projection of the Sphere—Algebra, the Use ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton
... at his side, was offering enthusiasm to a Geometry class. "Young gentlemen, a swift, perfect demonstration of a pure abstract truth is as beautiful and delightful to me—to any uncorrupted mind—as perfect music ...
— John March, Southerner • George W. Cable
... a schoolboy for reading his books carefully, would you? Yet the learnin' of the way of salvation is of far more consequence to me than book learnin' is to a schoolboy. An astronomer is never laughed at for readin' his books o' geometry an' suchlike day an' night—even to the injury of his health—but what is an astronomer's business to him compared with the concerns of my soul to me? Ministers tell me there are certain things I must know and believe if I would be saved—such as the death ...
— The Lighthouse • R.M. Ballantyne
... in a leopard skin to signify the beautiful variety of things and the firmament, his coat of stars,—was but the representative of thee, O rich and various man! thou palace of sight and sound, carrying in thy senses the morning and the night and the unfathomable galaxy; in thy brain, the geometry of the City of God; in thy heart, the bower of love and the realms of right and wrong.... Every star in heaven is discontent and insatiable. Gravitation and chemistry cannot content them. Ever they woo and court the eye of the beholder. Every man who comes into the world they seek to fascinate ...
— Emerson and Other Essays • John Jay Chapman
... books treating his favorite subject. Thus shut up to his own resources, the masterful little fellow, about his eighth year, drawing charcoal diagrams on the floor, made perceptible progress in working out geometry for himself. At sixteen he produced a treatise on conic sections that excited the wonder and incredulity of Descartes. Later, he experimented in barometry, and pursued investigations in mechanics. Later still, he made what seemed to be ...
— Classic French Course in English • William Cleaver Wilkinson
... intermeddled fearlessly with all knowledge, but mastered more than many practised and University men do in their own lines. Mathematics, astronomy, and especially what may be called selenology, or the doctrine of the moon, and the higher geometry and physics; Hebrew, Sanscrit, Greek, and Latin, to the veriest rigors of prosody and metre; Spanish and Italian, German, French, and any odd language that came in his way; all these he knew more or less thoroughly, and acquired them in the most leisurely, easy, cool sort of ...
— Spare Hours • John Brown
... possibly, a being is born who possesses a transcendent insight, and him we call a "genius." Shakespeare, for instance, to whom all knowledge lay open; Joan of Arc; the artist Turner; Swedenborg, the mystic—these are the men who know a royal road to geometry; but we may safely leave them out of account when we deal with the builders of a State, for among statesmen ...
— Little Journeys To the Homes of the Great, Volume 3 (of 14) • Elbert Hubbard
... sonnet on Cartesian geometry roused even the math-fiend to compassion. And don't you remember Professor Squeeler, whose heart seemed to leap with delight whenever he could tell you that, in spite of incessant toil on your part, he had again flunked you in physics with ...
— The House of the Vampire • George Sylvester Viereck
... ideas of men towards the dimensions of time and space. We owe to Kant the release from the rule of these ideas as essential ideas. Our modern psychology is alive to the possibility of Being that has no extension in space at all, even as our speculative geometry can entertain the possibility of dimensions—fourth, fifth, Nth dimensions—outside the three-dimensional universe of our experience. And God being non-spatial is not thereby banished to an infinite remoteness, but brought nearer to us; he ...
— God The Invisible King • Herbert George Wells
... height, which is a huge size. Likewise, in the island of Sicily, there have been found leg-bones and arm-bones so large that their size makes it plain that their owners were giants, and as tall as great towers; geometry puts this fact beyond a doubt. But, for all that, I cannot speak with certainty as to the size of Morgante, though I suspect he cannot have been very tall; and I am inclined to be of this opinion because I find in the history in which his deeds are particularly ...
— Don Quixote • Miguel de Cervantes Saavedra
... illustrious American of his age. Looking over the expanse of the ages, we think more earnestly and lovingly of Cadmus, who gave us the alphabet; of Archimedes, who invented the lever; of Euclid, with his demonstrations in geometry; of Faust, who taught us how to print; of Watt, with his development of steam, than of the resonant orators who inflamed the passions of mankind, and the gallant chieftains who led mankind to war. We decorate history with our Napoleons and Wellingtons, but it was better ...
— Samuel F. B. Morse, His Letters and Journals - In Two Volumes, Volume II • Samuel F. B. Morse
... able to recite whole pages of the text almost verbatim, but when questioned as to the meaning of the events and facts show very little knowledge about them. A student confessed to her teacher that she had committed all her geometry lessons to memory instead of reasoning them out. She could in this way satisfy a careless teacher who did not take the trouble to inquire how the pupil had prepared her lessons, but she knew ...
— The Recitation • George Herbert Betts
... Geometry he knew by rote, Like any Harvard Proctor; He'd sing a fugue out, note by note; Knew Physics like a Doctor; He spoke in German and in French; Knew each Botanic table; But one small word that you'll agree Comes pat enough to you and me, To speak he was ...
— Our Boys - Entertaining Stories by Popular Authors • Various
... use compasses and ruler, because all the instructions they gave me in geometry were forthwith put into practice; and I occupied myself greatly with paste-board-work. I did not stop at geometrical figures, little boxes, and such things, but invented pretty pleasure-houses adorned with pilasters, steps, ...
— Autobiography • Johann Wolfgang von Goethe
... and thorough knowledge; an aim indeed, pursued by the priests (to whose caste the physicians belong) with a most praiseworthy earnestness in all branches of science. Yonder lies the house of the high-priest Neithotep, whose knowledge of astronomy and geometry was so highly praised, even by Pythagoras. It lies next to the porch leading into the temple of the goddess Neith, the protectress of Sais. Would I could show thee the sacred grove with its magnificent trees, the splendid pillars of the temple with capitals modelled from the lotus-flower, ...
— Uarda • Georg Ebers
... experiments offers a rare example of the verification of algebraic calculation by direct demonstration. In general, we may employ geometry, which gives a graphic representation of calculation and furnishes a valuable control. Sometimes we have practical application, which is a very important verification in some respects, but only approximate in others. But it is rare that we employ, as Mr. Bjerknes ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various
... analogy of mathematical truth. It must be confessed, however, that a row of text-books on geometry, with so scattering and indefinite a collection of axioms, would do little to support one another; and little to convince us that they represented a coherent and consistent body of truth in which ...
— A Handbook of Ethical Theory • George Stuart Fullerton
... highly abstract science; geometry, however, means literally earth-measuring: the practical use of number in counting to keep track of things and in measuring is even more important to-day than in the times when it was invented for these purposes. Such considerations (which could ...
— Democracy and Education • John Dewey
... in number, and in each of these he made a figure as a symbol of the scenes below, each figure being on the same side as the scene that it represented. Over the first scene, wherein he painted Philosophy, Astrology, Geometry, and Poetry making peace with Theology, is a woman representing Knowledge, who is seated on a throne that is supported on either side by a figure of the Goddess Cybele, each with those many breasts which in ancient ...
— Lives of the Most Eminent Painters Sculptors and Architects - Vol. 04 (of 10), Filippino Lippi to Domenico Puligo • Giorgio Vasari
... in reality. Each as his name was read aloud was made to step forward and cross to the other side. Of course no one could answer for the absent six. I doubt if he ever learned the secret of that trapdoor. The professor of mathematics promised to bring me a Geometry. About two weeks later, November 24th, he brought me a copy ...
— Lights and Shadows in Confederate Prisons - A Personal Experience, 1864-5 • Homer B. Sprague
... years. She had lost a little girl and boy. Three children living. He was from Illinois. She from Boston. Had an education (Boston Female High School,—Geometry, Algebra, a little Latin and Greek). Mother and father died. Came to Illinois alone, to teach school. Saw him—yes—a love match." ("Two souls," etc., etc.) "Married and emigrated to Kansas. Thence across the Plains to California. Always ...
— The Luck of Roaring Camp and Other Tales • Bret Harte
... you know; no love on his own side; nothing of the sort; all done by rule and compass; knew women as well as dice, and calculated the exact moment when his snares would catch them, according to the principles of geometry. D——d clever fellow, faith; but a confounded rascal: but let it go no further; mum's the word! must not slander the dead; and 'tis only my suspicion, you know, after all. Poor fellow: I don't think he was such ...
— Devereux, Complete • Edward Bulwer-Lytton
... the plea of the utilitarian, that truth may be justified by the intolerable consequences of its habitual violation, he urges that this is no reason against its being intuitively perceived; just as the axioms of geometry, although intuitively felt, are confirmed by showing the incongruities following on their denial. He repeats the common allegation in favour of a priori principles generally, that no consideration of evil consequences would give the sense of universality of ...
— Moral Science; A Compendium of Ethics • Alexander Bain
... unwise educator who, after training the pupil's mind up through geometry, would then put him back to studying the simple branches of mathematics, instead of taking him on into higher mathematics. Likewise the Heavenly Father does not, after partly developing the redeemed, His children, by hard trials, return them to lives of easy trials, but ...
— God's Plan with Men • T. T. (Thomas Theodore) Martin
... *Dynamis power dynamite, dynasty *Eidos form, thing seen idol, kaleidoscope, anthropoid *Ethnos race, nation ethnic, ethnology Eu well euphemism, eulogy *Gamos marriage cryptogam, bigamy *Ge earth geography, geometry Genos family, race gentle, engender Gramma writing monogram, grammar Grapho write telegraph, lithograph *Haima blood hematite, hemorrhage, anemia *Heteros other heterodox, heterogeneous *Homos same homonym, homeopathy *Hydor water hydraulics, hydrophobia, hydrant *Isos equal isosceles, isotherm ...
— The Century Vocabulary Builder • Creever & Bachelor
... say gramer and Sophystry Phylosophy naturall logyke and Rythoryke Arsmetrycke geometry wyth astronomye Canon and Cyuyll melodyous musyke Noble Theology and corporal physyke Moralyzayson of holy scrypture Profound poetry and drawy{n}g ...
— The Assemble of Goddes • Anonymous
... builder when laying out the foundations; the masons in cutting the stones; and the various artizans who put up the fittings; are all guided by geometrical truths. Railway-making is regulated from beginning to end by geometry: alike in the preparation of plans and sections; in staking out the line; in the mensuration of cuttings and embankments; in the designing and building of bridges, culverts, viaducts, tunnels, stations. Similarly with the harbours, docks, ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer
... great sources of ornament are geometry and nature. The latter includes the former; for not only must natural forms, in order to be available as material for ornament, be first conventionalized, or reduced to regular, symmetrical, geometric outlines, but any and all designs, whether the unit of repetition ...
— Scientific American Supplement, No. 598, June 18, 1887 • Various
... as soon as she's touched it, And (to borrow a phrase from the nursery) muched it; She has such a musical taste, she will go Any distance to hear one who draws a long bow; 1350 She will swallow a wonder by mere might and main, And thinks it Geometry's fault if she's fain To consider things flat, inasmuch as they're plain; Facts with her are accomplished, as Frenchmen would say— They will prove all she wishes them to either way,— And, as fact lies on this side or that, we must try, If we're seeking the truth, to find where ...
— The Complete Poetical Works of James Russell Lowell • James Lowell
... care, which she gave him morning and evening, and indeed all day, when she was at home, with a tender punctuality which proved the utmost attention. But even while ministering to him, Esther's head was apt to be running on problems of geometry and ages of history and constructions of language. She was so utterly engrossed with her work that she gave little heed to anything else. She did notice that Pitt Dallas still sent them no reminders of his existence; it sometimes occurred to her ...
— A Red Wallflower • Susan Warner
... book, which ought to please, Stirs up the seeds of dire disease; Greek spoils his eyes, the print's so fine, Grown dim with study, and with wine; Of Tully's Latin much afraid, Each page he calls the doctor's aid; While geometry, with lines so crooked, Sprains all his wits to overlook it. His sickness puts on every name, Its cause and uses still the same; 'Tis toothache, colic, gout, or stone, With phases various as the moon, But ...
— A Collection of College Words and Customs • Benjamin Homer Hall
... so Dora, in addition to receiving a sound English education, was taught French, music, and, in fact, the general run of what was then known as "accomplishments", while I, in addition also to a good sound English education, was taught French, Latin, and mathematics, including geometry, algebra, and trigonometry. I was allowed to continue at school until my fourteenth birthday, when, in consequence of my strong predilection for the sea as a profession, I was apprenticed by Uncle Jack to Mr White for a ...
— The Log of a Privateersman • Harry Collingwood
... as I expected," says my friend Orbilius at this point: "this literature-lesson of yours is to be mere play, a 'soft-option' for our modern youth, who is not to be made to stand up to the tussle with Latin prose or riders in geometry." Softly, my friend! It is quite true that those twin engines of education, classics and mathematics, are adapted partly by long practice, but partly, as I too believe, by their very nature, to discipline the youthful mind to habits of intellectual honesty, ...
— Cambridge Essays on Education • Various
... (fine arts) music, painting, sculpture, architecture, poetry, engraving; (liberal arts) grammar, logic, rhetoric, arithmetic, geometry, music, astronomy, the sciences, philosophy, history; craft, dexterity, clevernes, ingenuity, cunning, artifice. Associated Words: technical, paleotechnics, technics, technic, intransigeant, intransigeance, artist, ...
— Putnam's Word Book • Louis A. Flemming
... human action becomes the principle of science; and, like all new principles, it pretends to exclusive and absolute dominion. Rationalism governs; abstract philosophy ignores the traditions and the requirements of the life of nations; and finds now in it, as in geometry, nothing but principles and deductions. The memory of recent oppression causes us to act as Tarquin did, and to level down the higher classes instead of elevating the inferior. Liberty and equality then govern by their negative side, instead of exercising the positive and beneficent ...
— Principles Of Political Economy • William Roscher
... a Practical Printer, who is competent to take charge of any department in a printing and publishing house. Would accept a professorship in any of the academies. Has no objection to teach ornamental painting and penmanship, geometry, trigonometry, and many other sciences. Has had some experience as a lay preacher. Would have no objection to form a small class of young ladies and gentlemen to instruct them in the higher branches. To ...
— Pushing to the Front • Orison Swett Marden
... Seminary for three years. Every winter he taught school, and with success. In one of these winter sessions, we are told by Rev. William M. Thayer, in his biography of Garfield, that he was applied to by an ambitious student to instruct him in geometry. There was one difficulty in the way, and that a formidable one. He was entirely unacquainted with geometry himself. But, he reflected, here is an excellent opportunity for me to acquire a new branch of knowledge. Accordingly he procured a text-book, ...
— From Canal Boy to President - Or The Boyhood and Manhood of James A. Garfield • Horatio Alger, Jr.
... served, not merely to awaken his taste and fashion his style, but also to liberate his literary and moral imagination. At the same time he was training his powers of thought by an assiduous study of algebra and geometry. The absorbing hours he spent over his Euclid were apparently of no use to him in his profession; but Lincoln was in his way an intellectual gymnast and enjoyed the exertion for its own sake. Such a use of his leisure must have ...
— The Promise Of American Life • Herbert David Croly
... 'and an irresistible inclination for the sea.... His father, seeing the bent of his mind, endeavoured to give him an education suitable for maritime life. He sent him, therefore, to the university of Pavia, where he was instructed in geometry, geography, astronomy and navigation.... He remained but a short time at Pavia, barely sufficient to give him the rudiments of the necessary sciences; the thorough acquaintance with them which he displayed in after-life must have been the result of diligent ...
— The Curse of Education • Harold E. Gorst
... trousers, and had already renounced all infantile games. The dangling crows which illustrated the pages of his Burnouf grammar were all dated the previous year, and he had entirely renounced feeding silkworms in his desk. Everything pointed to his not being a very practical man. Geometry disgusted him, and as for dates, he could not remember one. On holidays he liked to walk by himself through quiet streets; he read poems at the bookstalls, and lingered in the Luxembourg Gardens to see the sun set. Destined ...
— Serge Panine • Georges Ohnet
... inflections may reproduce all the figures of geometry. We shall confine ourselves to a description of the primary and most usual ...
— Delsarte System of Oratory • Various
... shall traverse. When Pascal approached a geometrical problem, he invented a method of solution; to solve a problem in philosophy a method is equally necessary. Well, by how much do the problems of which philosophy treats surpass in the gravity of their results those discussed by geometry! How much more imperatively, then, do they demand for their solution a profound and ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... identical with those in the female college at the same time, except the Latin. Indeed, I cannot see why it would not be an advantage to the students of the female college to go into the preparatory department during their first college year, since they can get their own course with geometry added, and if they stay three years a proportional amount of Latin and Greek. I could compare the whole course in the same way, but my time and the reader's patience would fail. There is no hint either ...
— History of Woman Suffrage, Volume III (of III) • Various
... perhaps of kings anterior to Mena. The works in the library would be composed of religious works; chapters of the Book of the Dead, copied after authentic texts preserved in the Temples; scientific treatises on geometry, medicine and astronomy; historic books in which were preserved the sayings and doings of the ancient kings, together with the number of the years of their lives and the exact duration of their reigns; manuals of philosophy and practical morals and ...
— Scarabs • Isaac Myer
... explained, was to help him develop an instrument commensurate in part with his big inner energies. I told them how I had specialised in his case to cultivate a positive and steadily-working brain-grip; how I had sought to install a system of order through geometry, which I wasn't equipped to teach, but that one of the college men was leading him daily deeper into this ...
— Child and Country - A Book of the Younger Generation • Will Levington Comfort
... Burns, Aesop's "Fables," Bunyan's "Pilgrim's Progress," and "Robinson Crusoe." He read a history of the United States and a life of Washington, and he learned by heart the statutes of the State of Indiana. Moreover, he studied without guidance algebra and geometry. It is said that later in life, when his political career was beginning, he continued his studies even more seriously and attempted to ...
— The French in the Heart of America • John Finley
... well developed and knowing how to swim are not liable to become frightened if thrown into the water and know what to do to save others from drowning. They are taught reading, writing, arithmetic, geography, typewriting, typesetting and practical geometry, so as to draw lines, angles and circles and find their volumes and areas, but algebra, astronomy, grammar, geology, physiology, biology and metaphysics are reserved for the high schools, where every boy and girl is ...
— Eurasia • Christopher Evans
... 'De Artibus ac Disciplinis Liberalium Litterarum,' contains so much as the author thought that every monk should be acquainted with concerning the four liberal arts—Grammar, Rhetoric, Logic, Mathematics—the last of which is divided into the four 'disciplines' of Arithmetic, Geometry, Music, and Astronomy. As illustrating the relative importance of these sciences (as we call them) as apprehended by Cassiodorus, it is curious to observe that while Geometry and Astronomy occupy only about one page, and Arithmetic and Music two pages each, Logic takes up eighteen pages, ...
— The Letters of Cassiodorus - Being A Condensed Translation Of The Variae Epistolae Of - Magnus Aurelius Cassiodorus Senator • Cassiodorus (AKA Magnus Aurelius Cassiodorus Senator)
... another's. More cultural, and at the same time more practical, is the study of exact reasoning in the form of some branch of mathematics. Abraham Lincoln, when he "rode the circuit" as a lawyer, carried with him a geometry, which he studied at every opportunity. To the mental training which it gave him was due his success not only as a lawyer, but also as a political orator. Every one of his speeches was as complete a demonstration ...
— Practical Suggestions for Mother and Housewife • Marion Mills Miller
... commendation of the Phoenicians to their skill in navigation, in mechanics, and in works of art.[330] Had they made advances in the abstract, or even in the mixed, sciences, in mathematics, or astronomy, or geometry, in logic or metaphysics, either their writings would have been preserved, or at least the Greeks would have made acknowledgments of being indebted to them.[331] But it is only in the field of practical matters that any such acknowledgments ...
— History of Phoenicia • George Rawlinson
... bring a person to perceive and acknowledge the full force of that which he has admitted,' he does not, I think, meet the real difficulty requiring to be explained; namely, how it happens that a science like geometry can be all 'wrapt up' in a few definitions and axioms. Nor does this defence of the syllogism differ much from what its assailants urge against it as an accusation, when they charge it with being of no use except to those who seek to press ...
— Blackwood's Edinburgh Magazine, No. CCCXXXVI. October, 1843. Vol. LIV. • Various
... Method and Language. Being a Manual of Geometry. Compiled from the most important French Works, approved by the University of Paris and the Minister of Public Instruction. Fcap. ...
— Legends of the Saxon Saints • Aubrey de Vere
... more serious. The light spirit that makes it a joyous festival to many was not in him. Of the myrtle and ivy of sweet two-and-twenty he knew nothing. He distinguished himself in mathematics (especially in geometry, which is the most logical of studies) and in the students' debating-societies. He was ...
— Sketches from Concord and Appledore • Frank Preston Stearns
... The branch which investigates and demonstrates the properties of magnitude, figure, or quantity, absolutely and generally considered, without restriction to any species in particular; such as arithmetic and geometry. ...
— The Sailor's Word-Book • William Henry Smyth
... here just that blend of simplicity and incalculable darkness found in all Mr Kipling's native tales. If the premises of life in India are tortuous, conduct and reasoning are as naively innocent as a problem in geometry. ...
— Rudyard Kipling • John Palmer
... heretic has his letter"[90] so common and yet so true as in Holland. The old quartos we have received from the seventeenth and former half of the eighteenth centuries will ever remain marvels of literalism gone mad. They were gotten up like a geometry, with theorems and propositions, followed by a lengthy array of texts transcribed without one word of comment. The sermons published at that time were divided and subdivided, their appearance being similar to a page ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst
... has just said, madame, for the wanderings of a madman," whispered the doctor; "he handles in this way sometimes the most difficult questions of geometry or astronomy, with an acuteness which would do honor to the most illustrious learned men. His knowledge is great. He speaks all the living languages, but he is, alas! a martyr to his thirst for erudition ...
— Mysteries of Paris, V3 • Eugene Sue
... of such boys (one of whom lately had the audacity nearly to ride down the Duke of Wellington) seems to be— not the translation of mutton, which would certainly find its way into human mouths even if riding boys were not,—but the improved geometry of transcendental curves. They ought to be numbered, ought these boys, and to wear badges—X 10, &c. And exactly the same evil, asking therefore by implication for exactly the same remedy, affects the Comets. A respectable planet is known everywhere, and responsible for any mischief ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
... FOR should not be used to introduce both of two succeeding statements. Both of the following sentences are bad by reason of this error: He likes geometry, BUT fails in algebra, BUT studies it hard, He read all night, FOR the book interested him, FOR it was along ...
— Practical Grammar and Composition • Thomas Wood
... assent and he proceeded to state the following case as coolly and accurately as if it were a problem in geometry. ...
— The Darrow Enigma • Melvin L. Severy
... earnest: in which case you may nave an opportunity of witnessing how ships are handled, when seamen have their management. I have no objection, to setting the experience of a poor come-and-go sort of a fellow, like myself, in opposition to the geometry and Hamilton Moore of a young man-of-war's-man. I dare say, now, yonder chap is a lord, or a lord's progeny, while poor Jack Truck is ...
— Homeward Bound - or, The Chase • James Fenimore Cooper
... text no mathematics higher than elementary algebra and geometry is introduced; in the foot-notes and in the Appendix an occasional trigonometric formula appears, for the benefit of the very considerable number of high school students who understand such expressions. This fact should be particularly ...
— Elements of Structural and Systematic Botany - For High Schools and Elementary College Courses • Douglas Houghton Campbell
... numeration; numbering &c. v.; pagination; tale, recension[obs3], enumeration, summation, reckoning, computation, supputation[obs3]; calculation, calculus; algorithm, algorism[obs3], rhabdology[obs3], dactylonomy[obs3]; measurement &c. 466; statistics. arithmetic, analysis, algebra, geometry, analytical geometry, fluxions[obs3]; differential calculus, integral calculus, infinitesimal calculus; calculus of differences. [Statistics] dead reckoning, muster, poll, census, capitation, roll call, recapitulation; account &c. (list) 86. [Operations] notation, addition, subtraction, multiplication, ...
— Roget's Thesaurus
... fools have to say about the difficulty they have had in explaining love, there are certain principles relating to it as infallible as those of geometry; but in each character these are modified according to its tendency; hence the caprices of love, which are due to the infinite number of varying temperaments. If we were permitted never to see the various ...
— Analytical Studies • Honore de Balzac
... Seraphita, when you speak like this. It wounds me to hear you apply the dreadful knowledge with which you strip from all things human the properties that time and space and form have given them, and consider them mathematically in the abstract, as geometry treats substances from which ...
— Seraphita • Honore de Balzac
... until they classified the laws of thought. It is curious how speculation led to demonstration, and how inquiries into the world of matter prepared the way for the solution of intellectual phenomena. Philosophy kept pace with geometry, and those who observed Nature also gloried in abstruse calculations. Philosophy and mathematics seem to have been allied with the worship of art among the same men, and it is difficult to say which more distinguished them,—aesthetic culture ...
— Beacon Lights of History, Volume I • John Lord
... University. That word means two different things on the two different sides of the Tweed. The academical authorities at Cambridge and Oxford stand in a parental relation to the student. They undertake, not merely to instruct him in philology, geometry, natural philosophy, but to form his religious opinions, and to watch over his morals. He is to be bred a Churchman. At Cambridge, he cannot graduate, at Oxford, I believe, he cannot matriculate, without declaring himself a Churchman. The College ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay
... time very successful; scenes of swaggering riot and roaring dissipation were as yet new to me, and I was no enemy to social life. Here, though I learnt to look unconcernedly on a large tavern bill and mix without fear in a drunken squabble, yet I went on with a high hand in my geometry.' ...
— Robert Burns - Famous Scots Series • Gabriel Setoun
... mysteries, the discovery of those organs which belong to the human soul, the geometry of its forces, the phenomena of its active power, the appreciation of the faculty by which we seem to have an independent power of bodily movement, so as to transport ourselves whither we will and to see without the aid of bodily organs, —in ...
— The Physiology of Marriage, Part III. • Honore de Balzac
... of theology and state affairs) to discourse and consider of philosophical enquiries, and such as related thereunto:—as Physick, Anatomy, Geometry, Astronomy, Navigation, Staticks, Magneticks, Chymicks, Mechanicks, and Natural Experiments; with the state of these studies and their cultivation at home and abroad. We then discoursed of the circulation of the blood, ...
— Autobiography and Selected Essays • Thomas Henry Huxley
... and attracted no little attention. Oral public examinations were held June 1 and 2. These showed faithful work on the part of both teachers and pupils. The classes in United States history and geometry deserve special mention. The excitement of the occasion was a little too much for some of the young people, leading one to say that Riel was the Governor-General of Canada, while another remarked that Florida, being ...
— The American Missionary — Volume 39, No. 08, August, 1885 • Various
... the essential elements in reasoning? Give an example of reasoning as carried on by one solving a problem in arithmetic or geometry, in geography, physics, ...
— How to Teach • George Drayton Strayer and Naomi Norsworthy
... this policy has been carried may perhaps be suggested by the following instance: A well-known physiological psychologist, attempting to show the absurdity of extreme sexual interpretations, remarked to a well-known psycho-analyst that even the geometry of Euclid would, according to the methods under criticism, be open to the imputation of sexual motive. To this the psycho-analyst replied that he did not feel at all sure that Euclid might not have been inspired to write his Geometry by the sexual ideas which men have, ...
— The Journal of Abnormal Psychology - Volume 10
... rich man, but he was able to send Christopher, as a boy, to the University of Pavia, and here he studied grammar, geometry, geography and navigation, astronomy and the Latin language. But this was as a boy studies, for in his fourteenth year he left the university and entered, in hard work, on "the larger college of the world." ...
— The Life of Christopher Columbus from his own Letters and Journals • Edward Everett Hale
... connection which made the wise Dryden say that every poet ought to be something of a mathematician. Needless to say, my teachers did not see the connection. They were simply amazed that the same person should become as drunk with geometry and algebra as with poetry. Probably they consoled themselves by the thought that I was one of the people who could persuade themselves into ...
— The Adventure of Living • John St. Loe Strachey
... a man very well educated for his time, whether self taught or not one cannot say; but that he was an excellent draughtsman, and had a complete knowledge of geometry, is evident from the wonderful drawings in his book, and the careful though rather verbose directions he gives for perspective drawing. Many of his numerous designs for furniture and ornamental items, are drawn to a scale with the geometrical nicety of an engineer's ...
— Illustrated History of Furniture - From the Earliest to the Present Time • Frederick Litchfield
... very ill built, the walls bevil, without one right angle in any apartment; and this defect arises from the contempt they bear to practical geometry, which they despise as vulgar and mechanic; those instructions they give being too refined for the intellects of their workmen, which occasions perpetual mistakes. And although they are dexterous enough upon a piece of paper, in the management ...
— Gulliver's Travels - into several remote nations of the world • Jonathan Swift
... her. "There's a way out of it, and the simplest way on earth. It's so infernally simple that we've all overlooked it. It narrows down to a simple problem in geometry. Do you remember what the ...
— The Lost Valley • J. M. Walsh
... University of Paris," says Brande, "the seven liberal arts (grammar, logic, rhetoric, arithmetic, geometry, astronomy, and music) seem to have been the subjects of academic instruction. These constituted what was afterwards designated the Faculty of Arts. Three other faculties—those of divinity, law, and medicine—were subsequently added. In all these four, ...
— A Collection of College Words and Customs • Benjamin Homer Hall
... painting is a science. The artist's command of his subject as the symbol of his idea derives from the stern and vigorous exercise of mind. The rightness of his composition is determined by a logic more flexible, perhaps, but no less exacting than the laws of geometry. By the flow of his line and the disposition of his masses, the artist must carry the eye of the beholder along the way he wants it to travel until it rests upon the point where he wants it to rest. There must be no leaks and no false directions; there must be the ...
— The Gate of Appreciation - Studies in the Relation of Art to Life • Carleton Noyes
... on some drunken St. Monday of faction, is 'the People' forsooth, and now each leprous ragamuffin, like a circle in geometry, is at once one and all, and calls his own brutal self 'us the People.' And who are the friends of the People? Not those who would wish to elevate each of them, or at least, the child who is to take his place ...
— The Life of Samuel Taylor Coleridge - 1838 • James Gillman
... Wackford Squeers' Academy, Dotheboys Hall, at the delightful village of Dotheboys, in Yorkshire, youths are boarded, clothed, booked, furnished with pocket-money, instructed in all languages living or dead, mathematics, orthography, geometry, trigonometry, the use of the globes, algebra, single-stick (if required), writing, arithmetic, fortification, and every other branch of classic literature. Terms, twenty guineas per annum. No extras, no vacations, and diet unparalleled. Mr. ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.
... lime, carbon, and other what not, to build her fair edifice. The bills flow in upon her thick and fast; she pays out hand over hand: if she had only her woman to build, she might get along, but now come in demands for algebra, geometry, music, language, and the poor brain-bank stops payment; some part of the work is shabbily done, and a crooked spine or weakened ...
— The Atlantic Monthly, Volume 15, No. 92, June, 1865 • Various
... do it—in a yacht, with no Latin and geometry to bother their heads, and no decks to wash down on ...
— Up The Baltic - Young America in Norway, Sweden, and Denmark • Oliver Optic
... Normandy and England. These united and organized the Faculty of Arts, which became its chief glory. It taught the three arts, Latin grammar, rhetoric and dialectics, known as the trivium. The quadrivium, embracing arithmetic, geometry, astronomy and music, was likewise taught. The Faculty of Theology was created in 1257, that of Law in 1271, and that of Medicine ...
— Colleges in America • John Marshall Barker
... furnish evidence (1) that it is essential for the purposes of teaching or examining in Elementary Geometry to employ one text-book only; (2) that there are strong a priori reasons for retaining in all its main features, and especially in its sequence and numbering of Propositions, and in its treatment of Parallels, the Manual of Euclid; ...
— The Life and Letters of Lewis Carroll • Stuart Dodgson Collingwood
... Geometrical Drawing, involving Three Dimensions. Designed for Use in High Schools, Academies, Engineering Schools, etc.; and for the Self-Instruction of Inventors, Artisans, etc. In Five Divisions. By S. Edward Warren, C.E., Professor of Descriptive Geometry and Geometrical Drawing in Rensselaer Polytechnic Institute, Troy, N.Y., and Author of a Treatise on the Orthographic Projections of Descriptive Geometry. New York. John Wiley. 12mo. ...
— Atlantic Monthly, Vol. 9, No. 52, February, 1862 • Various
... her ear. "Euclidean Geometry and Aristotelean reasoning. We start them young on these old schools of thought, then use Aristotle and Euclid as a point of departure for our intermediate ...
— There Will Be School Tomorrow • V. E. Thiessen
... be described as a tidy nightmare; yet it is a successful creation of the brains that conceived it—a successful creation of ground-rents. As a development of land ripe for building, with more yards of frontage to the main-road than at first sight geometry seems able to accommodate, it has been taking advantage of unrivalled opportunities for a quarter of a century, backed by advances on mortgage. It is the envy of the neighbouring proprietors east and west along the coast, who have developed their own eligible sites past all remedy and our endurance, ...
— Somehow Good • William de Morgan
... the knowledge of the reality of existing things. It is divided into two parts, theoretical and practical. Theoretical science aims at knowledge for its own sake; practical seeks an end beyond knowledge, viz., the production of something. We call it then art. Thus geometry is a science in so far as one desires to know the nature and relations to each other of solid, surface, line, point, square, triangle, circle. But if his purpose is to know how to build a square or circular house, or to construct a mill, or dig a well, or measure ...
— A History of Mediaeval Jewish Philosophy • Isaac Husik
... and—provided only the boy has resources, and is of a noble and ingenuous strain—these will not serve him less than the books. He learns chess, whist, dancing, and theatricals. The father observes that another boy has learned algebra and geometry in the same time. But the first boy has acquired much more than these poor games along with them. He is infatuated for weeks with whist and chess; but presently will find out, as you did, that, when he rises from the game too long played, he is vacant and forlorn, and despises ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various
... drinking and smoking, and devoted all his leisure time to study. The revolutionist gave him lessons, and his thirst for every kind of knowledge, and the facility with which he took it in, surprised her. In two years he had mastered algebra, geometry, history—which he was specially fond of—and made acquaintance with artistic and critical, and especially socialistic literature. The revolutionist was arrested, and Kondratieff with her, forbidden books having been ...
— Resurrection • Count Leo Tolstoy
... a physical space in which physical objects have spatial relations corresponding to those which the corresponding sense-data have in our private spaces. It is this physical space which is dealt with in geometry and assumed ...
— The Problems of Philosophy • Bertrand Russell
... Fritz; but if men, says Malebranche somewhere,[A] are interested in having the sides of an equilateral triangle unequal, and that false geometry was as agreeable to them as false philosophy, they would make the problems equally false in geometry as in morality, for this simple reason, that their errors afford them gratification, whilst truth would only hurt and ...
— Willis the Pilot • Paul Adrien
... so remote and alien to the immediate concrete objects which meet and interest us in daily experience that we tend to forget that historically it was out of concrete needs and practical interests that science arose. Geometry, seemingly a clear case of abstract and theoretical science, arose out of the requirements of practical surveying and mensuration among the Egyptians. In the same way botany grew out ...
— Human Traits and their Social Significance • Irwin Edman
... we soon arrived at another in which the bees and the birds are mathematicians of such genius and erudition, that they give daily instructions in the science of geometry to the wise men of the empire. The king of the place having offered a reward for the solution of two very difficult problems, they were solved upon the spot—the one by the bees, and the other by the birds; but the king keeping their ...
— The Works of Edgar Allan Poe - Volume 2 (of 5) of the Raven Edition • Edgar Allan Poe
... of Euclid's 'Elements' (1570) is naturally a rare book, as is John Blagrave's 'Mathematical Jewel,' a folio issued in 1585. It is one of the earliest English books upon mathematics. Blagrave[84] was the author of a number of works on Geometry, Navigation, ...
— The Book-Hunter at Home • P. B. M. Allan
... intensity); clock, watch, stopwatch, chronometer (time); anemometer (wind velocity); densitometer (color intensity). measurability, computability, determinability^. coordinates, ordinate and abscissa, polar coordinates, latitude and longitude, declination and right ascension, altitude and azimuth. geometry, stereometry^, hypsometry^; metage^; surveying, land surveying; geodesy, geodetics^, geodesia^; orthometry^, altimetry^; cadastre [Fr.]. astrolabe, armillary sphere^. land surveyor; geometer. V. measure, mete; determine, assay; evaluate, value, assess, rate, appraise, estimate, form an estimate, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget
... sailing in an airship and had just got back to earth," she said to Annabel Jackson who was diligently pursuing a French lesson. "How can you dig in that way, Annabel, after all the exciting times you had at home? I can't! I'd like to drop this old geometry into the Red Sea." ...
— Blue Bonnet in Boston - or, Boarding-School Days at Miss North's • Caroline E. Jacobs
... viewed in the light in which they are here presented, are rather special branches of Mathematics, than distinct Sciences. But as we often speak of Geometry as a separate Science, although it is in reality only a division of the Mathematical domain, and is so classed by Comte; so there is a sense in which both Astronomy and Physics, as herein defined, may be regarded as individual Sciences, and in that character ...
— Continental Monthly, Vol. 5, Issue 2, February, 1864 • Various
... said; "do we want to make telephones or do we not? And sure we can't make telephones without geometry. Hasn't Terence told ...
— Fairies and Folk of Ireland • William Henry Frost
... were a highly civilized people. They had schools where their children were taught to read and write, to speak Greek, and to work problems in geometry. They had magnificent public buildings, fine temples and palaces. They built excellent paved roads all over the southern part of Europe, and had wonderful systems of aqueducts which supplied their cities with pure water from springs and ...
— The World War and What was Behind It - The Story of the Map of Europe • Louis P. Benezet
... that came to be adopted everywhere comprised seven nominal branches, divided into two groups—the so-called quadrivium, comprising music, arithmetic, geometry, and astronomy; and the trivium comprising grammar, rhetoric, and logic. The vagueness of implication of some of these branches gave opportunity to the teacher for the promulgation of almost any knowledge ...
— A History of Science, Volume 2(of 5) • Henry Smith Williams
... theories as to the bonding of atoms to form molecules, and of the continuity between solution and electrical dissociation. However much these hypotheses may be modified as more light is shed on the geometry and the journeyings of the molecule, they have for the time being recommended themselves as finder-thoughts of golden value. These speculations of the chemist carry him back perforce to the days of his childhood. As he ...
— Little Masterpieces of Science: - Invention and Discovery • Various
... of the sciences, the encouragement of researches and discoveries, as well in physics, geometry, and astronomy, as in those sciences which are applicable to the ...
— Paris As It Was and As It Is • Francis W. Blagdon
... numbers and of navigation, and the art of alphabetical writing from Phoenicia. Along with the fine wheat, and embroidered linen, and riches of the farther Indias which came from Egypt, there came, also, into Greece some knowledge of the sciences of astronomy and geometry, of architecture and mechanics, of medicine and chemistry; together with the mystic wisdom of the distant Orient. The scattered rays of light which gleamed in the eastern skies were thus converged in Greece, as on a focal point, to be rendered more brilliant by contact ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... of action exist everywhere. This is the great law and the great mystery. There is no such thing as an isolated and veritably monad being, any more than there is such a thing as an indivisible point, except in the abstractions of geometry." ...
— Real Ghost Stories • William T. Stead
... there," said the lady, with a little silvery laugh. "They are not a profitless amusement. Why, a man has to keep his brains in good trim when he plays cards, and whist is just as good a mental exercise as geometry and algebra, or any other study where the mind is engaged upon various problems. You see I stand up for cards, for I teach whist myself and I assure you that many of the leading ladies of this city spend their time in little else than whist, which they would not do if cards were what you say. ...
— The Strange Adventures of Mr. Middleton • Wardon Allan Curtis
... reasonable to suppose that they made use of this science to determine their lands, and to make out their several claims, at the retreat of the waters. Many indeed have thought, that the confusion of property, which must for a while have prevailed, gave birth to practical [199]geometry, in order to remedy the evil: and in consequence of it, that charts and maps were first delineated in this country. These, we may imagine, did not relate only to private demesnes: but included also the course of the Nile in its various branches; and all the sea ...
— A New System; or, an Analysis of Antient Mythology. Volume II. (of VI.) • Jacob Bryant
... differing from ours only by degree of perfection. Nevertheless it still remains true that the laws of Nature are subject to be dispensed from by the Law-giver; whereas the eternal verities, as for instance those of geometry, admit no dispensation, and faith cannot contradict them. Thus it is that there cannot be any invincible objection to truth. For if it is a question of proof which is founded upon principles or incontestable facts and formed by a linking together of eternal ...
— Theodicy - Essays on the Goodness of God, the Freedom of Man and the Origin of Evil • G. W. Leibniz
... outright, and added, "I think I could learn to navigate that ocean of butter and molasses that he got up on the plate. A man ought to understand geometry and navigation to make and eat ...
— The Bobbin Boy - or, How Nat Got His learning • William M. Thayer
... reach all books treating his favorite subject. Thus shut up to his own resources, the masterful little fellow, about his eighth year, drawing charcoal diagrams on the floor, made perceptible progress in working out geometry for himself. At sixteen he produced a treatise on conic sections that excited the wonder and incredulity of Descartes. Later, he experimented in barometry, and pursued investigations in mechanics. Later still, he made what seemed to be ...
— Classic French Course in English • William Cleaver Wilkinson
... was not a rich man, but he was able to send Christopher, as a boy, to the University of Pavia, and here he studied grammar, geometry, geography and navigation, astronomy and the Latin language. But this was as a boy studies, for in his fourteenth year he left the university and entered, in hard work, on "the larger college of the world." If the date given above, of his birth, is correct, this was in the year ...
— The Life of Christopher Columbus from his own Letters and Journals • Edward Everett Hale
... not a little from the highly abstruse and technical form in which the Ethics is written. Some, who are not inured to the hardships of philosophy, quite naturally jump to the conclusion that its formidable geometry contains only the most inscrutable of philosophic mysteries; and a wise humility persuades them to forego the unexampled enlightenment a mastery of the difficulties would yield. Others, who are devoutly wedded to what they consider the unreservedly ...
— The Philosophy of Spinoza • Baruch de Spinoza
... immobility of a mathematical plan expresses a minute, not a day. In order to depict a battle, there is required one of those powerful painters who have chaos in their brushes. Rembrandt is better than Vandermeulen; Vandermeulen, exact at noon, lies at three o'clock. Geometry is deceptive; the hurricane alone is trustworthy. That is what confers on Folard the right to contradict Polybius. Let us add, that there is a certain instant when the battle degenerates into a combat, becomes specialized, and disperses into innumerable ...
— Les Miserables - Complete in Five Volumes • Victor Hugo
... she says: "My mind presents an assemblage of disjointed specimens of history, ancient and modern; scraps of poetry picked up from Shakespeare, Cowper, Wordsworth, and Milton; newspaper topics, morsels of Addison and Bacon, Latin verbs, geometry, entomology, and chemistry; reviews and metaphysics, all arrested and petrified and smothered by the fast-thickening everyday accession of actual events, relative anxieties, and household ...
— English Literature - Its History and Its Significance for the Life of the English Speaking World • William J. Long
... Formerly a professor of geometry and mathematics, and possessed of considerable theoretical knowledge of military architecture, Father Griffen had given most excellent advice to the successive governors of Martinique on the construction of works ...
— A Romance of the West Indies • Eugene Sue
... to children and ability to gain their love, and a power of evolving a schoolroom order so natural, cheery, serene, and peaceful that it gave the beholder a certain sense of being in a district heaven. She was poor in arithmetic and weak in geometry, but if you gave her a rose, a bit of ribbon, and a seven-by-nine looking-glass she could make herself as pretty as a ...
— The Flag-raising • Kate Douglas Wiggin
... twenty-four old men of the Apocalypse; saints, prophets, kings, queens, and princes, by the score; the signs of the zodiac, and even the seven liberal arts: grammar, rhetoric, dialectics, arithmetic, geometry, astronomy, and music; everything ...
— Mont-Saint-Michel and Chartres • Henry Adams
... clearness, and you will remember more about them—all this before you may begin to try to consciously "go out into the astral" as do the occultists. Be content to crawl before you may walk. Learn to add, multiply, subtract and divide, before you undertake the higher mathematics, algebra, geometry, etc., ...
— Clairvoyance and Occult Powers • Swami Panchadasi
... next he is promoted to Priscian. Then follow the other subjects of the Trivium and the Quadrivium each subject being represented by its chief exponent—logic by Aristotle, arithmetic by Boethius, geometry by Euclid, etc. Ptolemy, the philosopher, who represents astronomy, is confused with the kings of the same name. Pliny and Seneca represent the more advanced study of physical and of moral science ...
— Life in the Medieval University • Robert S. Rait
... attainments have won him honor both at Cambridge and at New Haven, and who now beguiles his banishment as Assistant Professor in the Naval Academy by writing on croquet in the spirit of Peirce. What President Hill has done for elementary geometry, "Newport" aims to do for croquet, making it severely simple, and, perhaps we might add, simply severe. And yet, admirable to relate, this is the smallest of all the manuals, and the cheapest, and the only one in ...
— The Atlantic Monthly, Volume 17, No. 104, June, 1866 • Various
... fit for an early student of geography, and far from crude. It now stands before me as perfect as when made fifty years since. In mathematics I soon, out of school, passed to the study of algebra, geometry, natural philosophy, etc. My common school and home advantages were excellent, and while my father lived, even when at work in the field, problems were being stated and solved, and interesting matters were discussed and ...
— Slavery and Four Years of War, Vol. 1-2 • Joseph Warren Keifer
... researches. He said that to one accustomed to speak only on the abstract quantities of number and space, this was an unusual occasion, and this an unusual audience; and inquired how he could discuss the abstract forms of geometry, when he saw before him, in such profusion, the most beautiful real forms that Providence has vouchsafed to the life of man. He proposed to introduce and develop but a single train of thought—the unchangeable connection between what in common language is called the theoretical ...
— The Uses of Astronomy - An Oration Delivered at Albany on the 28th of July, 1856 • Edward Everett
... instruction is three hundred and one; they are cleanly and comfortably lodged, and well-boarded; their ages average from ten to fourteen and a half, and the upper classes of the school are taught conic sections, geometry, chemistry, natural philosophy, navigation, ...
— Lands of the Slave and the Free - Cuba, The United States, and Canada • Henry A. Murray
... and for its degrees and modes; as extension, figure, solidity, weight; rough, smooth, elastic, friable; the various colours, red, blue, yellow, in all their shades and combinations and so with sounds, smells, tastes, temperatures. The terms of Geometry are employed to describe the modes of figure, as angular, curved, square, elliptical; and the terms of Arithmetic to express the degrees of weight, elasticity, temperature, pitch of sound. When other means fail, qualities are suggested by the names of things which exhibit them in a ...
— Logic - Deductive and Inductive • Carveth Read
... mathematical continuity which is only a particular system of symbols." With the same light touch, more destructive in its artistic measure than the heaviest-handed brutality of Englishmen or Germans, he went on to upset relative truth itself: "How should I answer the question whether Euclidian Geometry is true? It has no sense! . . . Euclidian Geometry is, and ...
— The Education of Henry Adams • Henry Adams
... surging dimly through the universal consciousness, find interpreters in the men of genius; through them the moral and religious ideas of an epoch take form, and crystallize themselves in poetry and the arts—as the laws of the divine geometry are realized in the crystallizations of minerals. Poetry and the arts may be regarded as the sum of the absolute truths to the conception of which the masses have risen at any given period in the life of ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various
... quite naturally reflects itself in the education of girls. Once when I visited a Hoehere Toechter Schule, the principal had a class in geometry recite for my edification. I soon saw that the young girl who had been chosen as the star pupil to wrestle with the pons asinorum was giving an exhibition of memorizing and not of mathematical reasoning. I asked the principal ...
— Mobilizing Woman-Power • Harriot Stanton Blatch
... while he knew six different languages and all the facts about the Arctic regions, and the history of dancing from the days of Old Adam down to those of Old Nick, he couldn't write up a satisfactory account of the Ice-Men's Ball. Could prove that two and two made four by trigonometry and geometry, but couldn't learn to keep books; was thick as thieves with all the high-toned poets, but couldn't write a good, snappy, merchantable street-car ad.; knew a thousand diseases that would take a man off before he could blink, but couldn't sell a thousand-dollar tontine ...
— Letters from a Self-Made Merchant to His Son • George Horace Lorimer
... as well entitled to reason upon the assumption of a perfectly frictionless fluid as geometers in general are entitled to assume perfect lines without breadth and perfect surfaces without thickness. Perfect lines and surfaces do not exist within the region of our experience; yet the conclusions of geometry are none the less true ideally, though in any particular concrete instance they are only approximately realized. Just so with the conception of a frictionless fluid. So far as experience goes, such a thing has no more real existence than a line without ...
— The Unseen World and Other Essays • John Fiske
... ordinary acceptance of the term, for it expresses conjointly with ethics and religion our whole point of view about man and nature. It is hygiene, for it enforces cleanliness; it is economics, for it shows comfort in simplicity rather than in the complex and costly; it is moral geometry, inasmuch as it defines our sense of proportion to the universe. It represents the true spirit of Eastern democracy by making all its ...
— The Book of Tea • Kakuzo Okakura
... where you want one corner of the court and fasten the line to it; then stretch the line to another nail to mark either a side line or back line. You will then have one side and the corner fixed, and the problem is to get another line at right angles to it. Boys who have studied geometry know that "in a right-angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." It isn't necessary to understand this, but it is the principle employed in "squaring." You next stretch ...
— Outdoor Sports and Games • Claude H. Miller
... wagon (one horse power) and some horse—I wish you could see him. The Elks were a pretty lively bunch, I'll say that, and they cleaned out all the private libraries in East Bridgeboro. They even got cook-books and arithmetics and books about geometry—pity the poor soldiers. ...
— Roy Blakeley • Percy Keese Fitzhugh
... and plain geometry at the High School," said this surprising young woman. "Thank Heaven, it's Saturday! I'm reading Les Miserables for the seventh time, and I'm going to have a real ORGY over Gervaise and the ...
— Beasley's Christmas Party • Booth Tarkington
... wood and field, however, I knew nothing of any open-air study. Study was a thing of books. At school we were never taught to look elsewhere for knowledge. Reading and spelling, geography and grammar, arithmetic and algebra, geometry and trigonometry,—these were studied, of course, as also were Latin and Greek. But none of our lessons took us out of the school-room, unless it was astronomy, the study of which I had nearly forgotten; and that ...
— Birds in the Bush • Bradford Torrey
... two great sources of ornament are geometry and nature. The latter includes the former; for not only must natural forms, in order to be available as material for ornament, be first conventionalized, or reduced to regular, symmetrical, geometric outlines, but any and all designs, whether ...
— Scientific American Supplement, No. 598, June 18, 1887 • Various
... But, as matters are now conducted, many young ladies know how to make oxygen and hydrogen, and to discuss questions of Philosophy or Political Economy, far better than they know how to make a bed and sweep a room properly; and they can "construct a diagram" in Geometry, with far more skill than they can make the simplest article ...
— A Treatise on Domestic Economy - For the Use of Young Ladies at Home and at School • Catherine Esther Beecher
... master, and could not from his youth have travelled into so many countries, or have attained so much knowledge and learning as his actions demonstrate; more especially in those four principal sciences which were so indispensably necessary to fit him for what he performed, astronomy, cosmography, geometry, and navigation. It is not much to be wondered that Justiniani should be guilty of untruth in this circumstance, which is hidden, since he has inserted above a dozen falsehoods in half a sheet of paper in his Psalter, in matters concerning this discovery and navigation, ...
— A General History and Collection of Voyages and Travels, Vol. III. • Robert Kerr
... treatise on any moral or psychological subject which I had read, and containing many of the best observations of the ancients on human nature and life, my father made me study with peculiar care, and throw the matter of it into synoptic tables. During the same years I learnt elementary geometry and algebra thoroughly, the differential calculus, and other portions of the higher mathematics far from thoroughly: for my father, not having kept up this part of his early acquired knowledge, could ...
— Autobiography • John Stuart Mill
... the moral: Although an ardent republican, Thales alone, of the seven sages, appears to have led a private and studious life. He travelled, into Crete, Asia, and at a later period into Egypt. According to Laertius, Egypt taught him geometry. He is supposed to have derived his astrological notions from Phoenicia. But this he might easily have done without visiting the Phoenician states. Returning to Miletus, he obtained his title of Wise [190]. Much learning ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton
... of you who read this book made acquaintance with the noble building of Euclid's geometry, and you remember — perhaps with more respect than love — the magnificent structure, on the lofty staircase of which you were chased about for uncounted hours by conscientious teachers. By reason of our past experience, you would certainly regard everyone ...
— Relativity: The Special and General Theory • Albert Einstein
... Babylonians,[328] and the combined learning and science of the Egyptians,[329] limits his commendation of the Phoenicians to their skill in navigation, in mechanics, and in works of art.[330] Had they made advances in the abstract, or even in the mixed, sciences, in mathematics, or astronomy, or geometry, in logic or metaphysics, either their writings would have been preserved, or at least the Greeks would have made acknowledgments of being indebted to them.[331] But it is only in the field of practical matters that any such acknowledgments are made. The Greeks allow themselves to have been indebted ...
— History of Phoenicia • George Rawlinson
... others, the Twentieth Century will be democratic. The greatest discovery of the Nineteenth Century was that of the reality of external things. That of the Twentieth Century will be this axiom in social geometry: "A straight line is the shortest distance between two points." If something needs doing, do it; the more plainly, directly, ...
— The Call of the Twentieth Century • David Starr Jordan
... ONE Jurgen: and certainly this Praxagorean system of mathematics is a fascinating study." And promptly she commenced to plan Jurgen's return with her into Philistia, so that she might perfect herself in the higher branches of mathematics. "For you must teach me calculus and geometry and all other sciences in which these digits are employed. We can arrange some compromise with the priests. That is always possible with the priests of Philistia, and indeed the priests of Sesphra can be made to help anybody in anything. And as for your ...
— Jurgen - A Comedy of Justice • James Branch Cabell
... next confronts us is his famous one concerning Cause and Effect. He commences it by explaining that all objects of human enquiry are divisible into two kinds—1. Relations of Ideas, like those of which geometry, algebra, and arithmetic treat, and which are either intuitively certain, or 'discoverable by the mere operation of thought, without dependence on what is anywhere existent in the universe,' as, for example, the truths ...
— Old-Fashioned Ethics and Common-Sense Metaphysics - With Some of Their Applications • William Thomas Thornton
... I can't understand a geometry in which the crookedest line between any two given points is the best line. Let's get to ...
— The Galaxy Primes • Edward Elmer Smith
... I just straightened up and walked! Mr. Durant talked to us some about our lessons. He seemed pleased when we told him we liked geometry. When we got back to the college we told the girls about meeting Mr. Durant. I guess nobody will want to dawdle along after ...
— The Story of Wellesley • Florence Converse
... sides of the street approach in an unvarying ratio; a cloud goes over, and the lines do not soften; brilliant light succeeds, and is merely light—no effect accompanies it. The architecture conquers, and is always architecture; it resists the sun, the air, the rain, being without expression. The geometry of the street can never be forgotten. Moving along it you have merely advanced so far along a perspective, between the two lines which tutors rule to teach drawing. By-and-by, when you reach the other end and look back, ...
— The Life of the Fields • Richard Jefferies
... inclining and the knees bowing; If for Innocence, she holds a Lilie; If for Glory or Victory, a Garland of Baies; If for Wisdom, she holds a Salt; If he excels in Physic, an Urinal; If in Music, a Lute; If in Poetry, a Scrowle; If in Geometry, an Astrolabe; If in Arithmetic, a Table of Cyphers; If in Grammar, an Alphabetical Table; If in Mathematics, a Book; If in Dialectica she holds a Serpent in either hand; and so of the rest; the Pretence ...
— Bacon is Shake-Speare • Sir Edwin Durning-Lawrence
... singing and flight of birds portended, and acquired the art of calling up spirits from hell; and, in short, whatever—hurtful or healthful—human curiosity had discovered, besides the lawful sciences of arithmetic and astronomy, music and geometry"; how he acquired from the Saracens the abacus (a counting table); how he escaped from the Moslem magician, his tutor, by making a compact with the foul fiend, and putting himself beyond the power of magic, by hanging himself under a wooden bridge so as to touch neither earth nor ...
— Hereward, The Last of the English • Charles Kingsley
... Scale, we can trace all the figures used in the mathematics of planes, or in what are called GEOMETRY and TRIGONOMETRY, two words that are themselves deficient in meaning. GEOMETRY, which the letter G in most Lodges is said to signify, means measurement of land or the earth—or Surveying; and TRIGONOMETRY, the measurement of triangles, or figures with three sides or angles. The latter ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike
... those eerie shifting corridors of Space with no hint of another human soul. How could there be? It was a world of pure reason, where human personality had no place. What puzzled me was why he should feel the absence of this. One wouldn't you know, in an intricate problem of geometry or a game of chess. I asked him, but he didn't understand the question. I puzzled over it a good deal, for it seemed to me that if Hollond felt lonely, there must be more in this world of his than we imagined. I began to wonder if there was any ...
— The Moon Endureth—Tales and Fancies • John Buchan
... was (precluding matters of theology and state affairs) to discourse and consider of philosophical enquiries, and such as related thereunto:—as Physick, Anatomy, Geometry, Astronomy, Navigation, Staticks, Magneticks, Chymicks, Mechanicks, and Natural Experiments; with the state of these studies and their cultivation at home and abroad. We then discoursed of the circulation of the blood, ...
— Lectures and Essays • T.H. Huxley
... I conversed with spirits who were from that earth concerning various things on our Earth, especially concerning the fact that sciences are cultivated here, which are not cultivated elsewhere, such as astronomy, geometry, mechanics, physics, chemistry, medicine, optics, and natural philosophy; and likewise arts, which are unknown elsewhere, as the arts of ship-building, of smelting metals, of writing on paper, and likewise of publishing by printing, and thus of communicating with others ...
— Earths In Our Solar System Which Are Called Planets, and Earths In The Starry Heaven Their Inhabitants, And The Spirits And Angels There • Emanuel Swedenborg
... a large scale. Let us add, further, that the intervention of intelligent beings might explain the geometrical appearance of the gemination, but it is not at all necessary for such a purpose. The geometry of nature is manifested in many other facts from which are excluded the idea of any artificial labor whatever. The perfect spheroids of the heavenly bodies and the ring of Saturn were not constructed in a turning lathe, ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
... edition of Euclid's 'Elements' (1570) is naturally a rare book, as is John Blagrave's 'Mathematical Jewel,' a folio issued in 1585. It is one of the earliest English books upon mathematics. Blagrave[84] was the author of a number of works on Geometry, ...
— The Book-Hunter at Home • P. B. M. Allan
... great deal better." "But play is only meant for babies and kittens, Rudolph: it is unworthy of a being who can think. I know you have great talents, and I am the one to develop them. I mean to teach you mineralogy and chemistry, natural philosophy and history, astronomy and geology, botany and geometry. You shall be wise, and shall learn to look beyond the surface of things into their natures and constituent parts. You shall know why every thing was made just as it is, and shall understand the exact proportions of all things to each other, ...
— Holidays at the Grange or A Week's Delight - Games and Stories for Parlor and Fireside • Emily Mayer Higgins
... Metaphysics? or can all his learn'd Astronomy look to my Vineyards? Can the drunken old Poets make up my Vines? (I know they can drink 'em) or your excellent Humanists sell 'em the Merchants for my best advantage? Can History cut my Hay, or get my Corn in? And can Geometry vend it in the Market? Shall I have my sheep kept with a Jacobs-staff now? I wonder you will magnifie this madman, you that are ...
— The Works of Francis Beaumont and John Fletcher - Vol. 2 of 10: Introduction to The Elder Brother • Francis Beaumont and John Fletcher
... another. What I wanted to speak to you about was a little practical matter in which you may be able to help me. I teach mathematics at the High School, and I have an idea that I might make certain points in geometry easier to my younger girls if I could demonstrate them in a mechanical way. Pray look here. You see the shapes I have sketched on this piece of paper; do you think you could make them ...
— The House of Cobwebs and Other Stories • George Gissing
... ordinary worker, has led in the latter part of the 19th century to an important reaction against the specialization mentioned in the preceding paragraph. This reaction has taken the form of a return to the alliance between algebra and geometry (S 5), on which modern analytical geometry is based; the alliance, however, being concerned with the application of graphical methods to particular cases rather than to general expressions. These ...
— Project Gutenberg Encyclopedia
... been carried may perhaps be suggested by the following instance: A well-known physiological psychologist, attempting to show the absurdity of extreme sexual interpretations, remarked to a well-known psycho-analyst that even the geometry of Euclid would, according to the methods under criticism, be open to the imputation of sexual motive. To this the psycho-analyst replied that he did not feel at all sure that Euclid might not have been inspired to write his Geometry ...
— The Journal of Abnormal Psychology - Volume 10
... any, was formative and delineative: not ritual: so that in no case, and in no country, was Egypt the parent of Superstition: while she was beyond all dispute, for all people and to all time, the parent of Geometry, Astronomy, Architecture, and Chivalry. She was, in its material and technic elements, the mistress of Literature, showing authors who before could only scratch on wax and wood, how to weave paper and engrave porphyry. She was the first exponent of the law of Judgment after Death for ...
— Our Fathers Have Told Us - Part I. The Bible of Amiens • John Ruskin
... special aptitudes for mechanics, mathematics (either geometry of three dimensions or pure analysis), mental arithmetic, or chess-playing blindfold, please explain fully how far your processes depend on the use of visual images, ...
— Inquiries into Human Faculty and Its Development • Francis Galton
... in course of preparation for future numbers, some large and elegant engravings, illustrative of some of the most interest and deeply scientific new inventions, together with illustrations of architecture, geometry and magnetism. Also a variety of intelligence ...
— Scientific American magazine, Vol. 2 Issue 1 • Various
... girls were to attend school from the age of six to that of sixteen years, and, after acquiring the elements, were to be taught grammar, the history of literature, general history, the history of civilisation, physics, natural history, geometry, and algebra. ...
— Freeland - A Social Anticipation • Theodor Hertzka
... him; or, to use another simile, had been spattered upon her by the full stream which the Doctor poured into the vessel of the boy's intellect. So that she had even some knowledge of the rudiments of Latin, and geometry, and algebra; inaccurate enough, but yet with such a briskness that she was sometimes able to assist Ned in studies in which he was far more deeply grounded than herself. All this, however, was more by sympathy than by any ...
— Doctor Grimshawe's Secret - A Romance • Nathaniel Hawthorne
... daughter. We hadn't known it, but she had been in school all that year. She was a quiet girl who was designed like a tall problem in plane geometry. While it was possible for a clock to run in the same room with her, still she was not what you might call a picnic to look at. She was the kind of girl a man would look at once and then go off and admire the scenery, even if it only consisted of a ninety-acre cornfield ...
— At Good Old Siwash • George Fitch
... an ellipsis of the words, namely, that is, to wit, etc., takes place, the dash is used to supply them: "He excelled in three branches— arithmetic, algebra, and geometry." ...
— How to Speak and Write Correctly • Joseph Devlin
... On the walls hung the quaint maps of that period whence they had received geographical impressions, strangely antiquated now. Along one side of the room ran a black-board, on which they had been wont to demonstrate their ignorance of algebra and geometry to the complete satisfaction of the master, while behind them as they sat was a row of recitation benches, associated with so many a ...
— Miss Ludington's Sister • Edward Bellamy
... discoveries are, and they are unique in ancient literature, [Footnote: They are general and definite. This distinguishes them, for instance, from Plato's incidental hint in the Republic as to the prospect of the future development of solid geometry.] they were far from adumbrating a doctrine of the Progress of man. For him, as for Plato and the older philosophers, time is the enemy of man. [Footnote: The quotations and the references here will be found in Nat. Quaest. i. ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury
... F.R.S., Professor of Astronomy and Geometry at the University of Cambridge; author of "Starland," "The Cause of an Ice Age," etc. With 72 Plates, Explanatory Text, and Complete ...
— Other Worlds - Their Nature, Possibilities and Habitability in the Light of the Latest Discoveries • Garrett P. Serviss
... I build—how wonderfully can I hang this arch in air, or weave this tracery across the clouds? And the catastrophe was instant and irrevocable. Architecture became in France a mere web of waving lines,—in England a mere grating of perpendicular ones. Redundance was substituted for invention, and geometry for passion; tho Gothic art became a mere expression of wanton expenditure, and vulgar mathematics; and was swept away, as it then deserved to be swept away, by the severer pride, and purer learning, of the schools founded on ...
— The Two Paths • John Ruskin
... be divine,—the most godly of all human dreams of the superhuman. But a naked person is not divine at all. Ideal nudity needs no girdle, because the charm is of lines too beautiful to be veiled or broken. The living real human body has no such divine geometry. Question: Is an artist justified in creating nakedness for its own sake, unless he can divest that nakedness of every trace of the real ...
— Kokoro - Japanese Inner Life Hints • Lafcadio Hearn
... witness is borne to the truth alone. Now one is not called a martyr for bearing witness to any truth, but only for witnessing to the Divine truth, otherwise a man would be a martyr if he were to die for confessing a truth of geometry or some other speculative science, which seems ridiculous. Therefore faith alone is the cause ...
— Summa Theologica, Part II-II (Secunda Secundae) • Thomas Aquinas
... but a poor worn-out rag, and fear, when I come to Paris, that I shall be forced to pretend that I have had the gout in my understanding. My spirits, such as they are, will not bear translating; and I don't know whether I shall not find it the wisest part I can take to fling myself into geometry, or commerce, or agriculture, which the French now esteem, don't understand, and think we do. They took George Selwyn for a poet, and a judge of planting and dancing-. why may I not pass for a learned man and a philosopher? If the worst comes to the worst, I will admire Clarissa and Sir ...
— The Letters of Horace Walpole Volume 3 • Horace Walpole
... the S[u]tras as showing an independent origin of Hindu geometry, contrary to the opinion long held by Cantor[48] of a Greek origin, has been repeatedly emphasized in recent literature,[49] especially since the appearance of the important work of Von Schroeder.[50] Further fundamental mathematical notions ...
— The Hindu-Arabic Numerals • David Eugene Smith
... with my hearty approval? and he's going to be nothing but a plain, common farmer. But he'll be a better one than I've been though, because he's got a trained mind. I found that out when he was a lad going to the village school. He'd lay out his little garden by geometry, and dig his ditches by algebra. Education's a help to any man. What I am trying to get at is this, that in some way or other we're running more to brains and less to hard work than our ...
— Beautiful Joe • Marshall Saunders
... schools. The original charter provides "that there be, and hereby is, established ... an Academy for promoting Piety and Virtue, and for the Education of Youth in the English, Latin, and Greek Languages, in Writing, Arithmetic, Music, and the Art of Speaking, Practical Geometry, Logic, and Geography, and such other of the Liberal Arts and Sciences or Languages as opportunity may hereafter permit, and as the ...
— The Half-Back • Ralph Henry Barbour
... more wouldst thou have?" replied he. "Allah hath bounteously bestowed on thee a Barber who is an astrologer, one learned in alchemy and white magic;[FN612] syntax, grammar, and lexicology; the arts of logic, rhetoric and elocution; mathematics, arithmetic and algebra; astronomy, astromancy and geometry; theology, the Traditions of the Apostle and the Commentaries on the Koran. Furthermore, I have read books galore and digested them and have had experience of affairs and comprehended them. In short I have learned the theorick and the ...
— The Book of the Thousand Nights and a Night, Volume 1 • Richard F. Burton
... reduce them again to their proper subsistence. He is in part likewise an arithmetician, cunning enough for multiplication and addition, but cannot abide subtraction: summa totalis is the language of his Canaan, and usque ad ultimum quadrantem the period of all his charity. For any skill in geometry I dare not commend him, for he could never yet find out the dimensions of his own conscience; notwithstanding he hath many bottoms, it seemeth this is always bottomless. And so with a libera nos a malo ...
— Character Writings of the 17th Century • Various
... certain bas-reliefs from Nimroud in the British Museum. The creature described by Berosus lived in the Persian Gulf, landing during the day to teach the inhabitants the building of houses and temples, the cultivation of useful plants, the gathering of fruits, and also geometry, law, and letters. From him, too, came the account of the beginning of things referred to in chapter III. which, in the original Greek, is preceded by a description of the composite monsters said to have existed before Merodach assumed the rule ...
— The Religion of Babylonia and Assyria • Theophilus G. Pinches
... not without reason that all the ancients attributed the invention of geometry to the Egyptians. The perpetual encroachments of the Nile and the displacements it occasioned, the facility with which it effaced the boundaries of the fields, and in one summer modified the whole face of a nome, had forced them from early times ...
— History Of Egypt, Chaldaea, Syria, Babylonia, and Assyria, Volume 2 (of 12) • G. Maspero
... composition, algebra through quadratic equations, plane geometry, descriptive geography, physical geography, United States history and ...
— Go Ahead Boys and the Racing Motorboat • Ross Kay
... gentlemen not to be misled by the word University. That word means two different things on the two different sides of the Tweed. The academical authorities at Cambridge and Oxford stand in a parental relation to the student. They undertake, not merely to instruct him in philology, geometry, natural philosophy, but to form his religious opinions, and to watch over his morals. He is to be bred a Churchman. At Cambridge, he cannot graduate, at Oxford, I believe, he cannot matriculate, without declaring himself a Churchman. The College is a large family. An undergraduate is lodged ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay
... in the structure of the electrical elementary particles constituting matter. Nor do we know whether it is only in the proximity of ponderable masses that its structure differs essentially from that of the Lorentzian ether; whether the geometry of spaces of cosmic extent is approximately Euclidean. But we can assert by reason of the relativistic equations of gravitation that there must be a departure from Euclidean relations, with spaces of cosmic order of magnitude, if there exists a positive ...
— Sidelights on Relativity • Albert Einstein
... in them, but knew not whence came all, that therein was true or certain. For I had my back to the light, and my face to the things enlightened; whence my face, with which I discerned the things enlightened, itself was not enlightened. Whatever was written, either on rhetoric, or logic, geometry, music, and arithmetic, by myself without much difficulty or any instructor, I understood, Thou knowest, O Lord my God; because both quickness of understanding, and acuteness in discerning, is Thy gift: yet did I not thence sacrifice to Thee. So then it served not to my use, but rather ...
— The Confessions of Saint Augustine • Saint Augustine
... Colburn's Sequel as the arithmetic. From this I passed to algebra and geometry, and during the last two terms I studied Latin Grammar. My school-going days ended in February, 1835, a month after my ...
— Reminiscences of Sixty Years in Public Affairs, Vol. 1 • George Boutwell
... certainly the colonel never lacked his ordinary care, which she gave him morning and evening, and indeed all day, when she was at home, with a tender punctuality which proved the utmost attention. But even while ministering to him, Esther's head was apt to be running on problems of geometry and ages of history and constructions of language. She was so utterly engrossed with her work that she gave little heed to anything else. She did notice that Pitt Dallas still sent them no reminders of his existence; ...
— A Red Wallflower • Susan Warner
... flight, yes. It's equally true, however, that hyperspace's geometry doesn't always resemble the sort of lines and angles you ...
— Next Door, Next World • Robert Donald Locke
... of Greek on the model of Plato, and of Latin on that of Cicero. Let there be no history you have not at your finger's ends, and study thoroughly cosmography and geography. Of liberal arts, such as geometry, mathematics and music, I gave you a taste when not above five years old, and I would have you now master them fully. Study astronomy, but not divination and judicial astrology, which I consider mere vanities. As for ...
— Character Sketches of Romance, Fiction and the Drama - A Revised American Edition of the Reader's Handbook, Vol. 3 • E. Cobham Brewer
... so great antiquity, 300 kings before Amasis: and as Mela writes, 13,000 years from the beginning of their chronicles, that bragged so much of their knowledge of old, for they invented arithmetic, astronomy, geometry: of their wealth and power, that vaunted of 20,000 cities: yet at the same time their idolatry and superstition was most gross: they worshipped, as Diodorus Siculus records, sun and moon under the name of Isis and Osiris, and after, such ...
— The Anatomy of Melancholy • Democritus Junior
... cycle in the development of Descartes' system of thought preceded the metaphysical. His great achievements in analytical geometry, in optics, in physical research, his explanation of the laws of nature, and their application in his theory of the material universe, belong to the history of science. Algebra and geometry led him towards his method in ...
— A History of French Literature - Short Histories of the Literatures of the World: II. • Edward Dowden
... little in books that satisfied him. For poetry and philosophy he had small aptitude, and in science he had no training. What books he read he seemed to digest and get the pith of. Once, made suddenly conscious by defeat of his lack of book-culture, he took up Euclid's geometry, and resolutely studied and re-studied it. Doubtless that helped him in the close logic which often characterized his speeches. The strength of his speeches lay in their logic, their close regard to fact, their adaptation ...
— The Negro and the Nation - A History of American Slavery and Enfranchisement • George S. Merriam
... such talk as is holden by those idle loiterers that gather at this meeting of three roads. [Footnote: But 'trivial' may be from 'trivium' in another sense; that is, from the 'trivium,' or three preparatory disciplines,—grammar, arithmetic, and geometry,—as distinguished from the four more advanced, or 'quadrivium'; these and those together being esteemed in the Middle Ages to constitute a complete liberal education. Preparatory schools were often called 'trivial schools,' as occupying ...
— On the Study of Words • Richard C Trench
... embroidery, whilst the instruction advances further and further until in the fifth girls' class (the ninth in the school) the girls are taught Roumanian, French and German literature, universal history and geography, drawing from nature and models, designs for embroidery, geometry and perspective, natural history, mineralogy, chemistry, vocal music, needlework, bookkeeping, &c., and in the highest class of all (that for teachers) there are added geology, physiology, cosmography, and Italian, in addition to French and German. The collections and appliances to ...
— Roumania Past and Present • James Samuelson
... which, however, he deemed it wise, in view of Galileo's fate, to withhold from publication during his lifetime. Besides the "Discourse on Method" (1637), with the treatises on dioptrics, meteors, and geometry, his principal works were his "Meditations" addressed to the Deans of the Faculty of Theology in the University of Paris; the "Principia Philosophiae," and the "Traite des Passions de L'Ame," in which, he handled morals. Descartes died at Stockholm, whither he had been summoned by Queen Christina, ...
— The Worlds Greatest Books, Volume XIII. - Religion and Philosophy • Various
... learning. The pupil in a history class may be able to recite whole pages of the text almost verbatim, but when questioned as to the meaning of the events and facts show very little knowledge about them. A student confessed to her teacher that she had committed all her geometry lessons to memory instead of reasoning them out. She could in this way satisfy a careless teacher who did not take the trouble to inquire how the pupil had prepared her lessons, but she ...
— The Recitation • George Herbert Betts
... movements, and with the aid of a small globe and pair of compasses was able by means of his own calculations to detect serious discrepancies in the Alphonsine and Prutenic tables. In order to make himself more proficient in calculating astronomical tables he studied arithmetic and geometry, and learned mathematics without the aid of a master. Having remained at Leipsic for three years, during which time he paid far more attention to the study of astronomy than to that of law, he returned ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard
... idea of not being Christians, and are horrified at any man who does not believe there is a God, are yet absolutely indifferent to what their Lord tells them to do if they would be His disciples? But may not I be in like case without knowing it? Do I meet God in my geometry? When I so much enjoy my Euclid, is it always God geometrizing to me? Do I feel talking with God every time I dwell upon any fact of his world of lines and circles and angles? Is it God with me, every time that the joy of life, of a wind or a sky ...
— The Elect Lady • George MacDonald
... geometry as it is with arithmetic. No man is wholly ignorant of points, lines, surfaces, and solids. We are all aware that a short line is not a point, a narrow surface is not a line, and a thin solid is not a mere surface. A door so thin as to have only one side would be repudiated by every man of ...
— An Introduction to Philosophy • George Stuart Fullerton
... Lavoisier, or Laplace. His chimerical notions about angels perhaps overruled his work too long; but was it not in trying to make gold that the alchemists unconsciously created chemistry? At the same time, Lambert, at a later period, studied comparative anatomy, physics, geometry, and other sciences bearing on his discoveries, and this was undoubtedly with the purpose of collecting facts and submitting them to analysis—the only torch that can guide us through the dark places of the most ...
— Louis Lambert • Honore de Balzac
... life, if he does not become a trader or banker, he will not be ashamed to reckon simple sums upon his fingers or by means of pebbles; although if his father is ambitious to have him become a philosopher, he may have him taught something of geometry. ...
— A Day In Old Athens • William Stearns Davis
... than he was, and live. His friend Dr Record had been to see him in the prison, whom he describes as "Doctor of Physic, singularly seen [very skilful] in all the Seven Sciences [Grammar, Rhetoric, Logic, Arithmetic, Geometry, Music, and Astronomy], and a great devyne." Mr Rose took his deprivation very quietly. Some of his friends thought he might be all the safer for it, if the persecutors had done all they cared about doing to him. He had hired three rooms for the present ...
— Robin Tremain - A Story of the Marian Persecution • Emily Sarah Holt
... must remember that the brain craves thought, as the stomach does food; and where it is not properly supplied it will feed on garbage. Where a Latin, geometry, or history lesson would be a healthy tonic, or nourishing food, the trashy, exciting story, the gossiping book of travels, the sentimental poem, or, still worse, the coarse humor or thin-veiled vice of the low romance, fills up the ...
— The Education of American Girls • Anna Callender Brackett
... thus grossly. Whereas, at present, few are the people, amongst those not openly making profession of illiteracy, who do not know that a sultan of the tropics—ay, though his throne were screwed down by exquisite geometry to the very centre of the equator—might as surely become familiar with winter by ascending three miles in altitude, as by travelling three thousand horizontally. In that way of ascent, it is that Ceylon has her regions ...
— Blackwood's Edinburgh Magazine, Volume 54, No. 337, November, 1843 • Various
... Kepler reprinted his "Mysterium Cosmographicum," and also published his "Harmonics" in five books dedicated to James I of England. "The first geometrical, on the origin and demonstration of the laws of the figures which produce harmonious proportions; the second, architectonical, on figurate geometry and the congruence of plane and solid regular figures; the third, properly Harmonic, on the derivation of musical proportions from figures, and on the nature and distinction of things relating to song, in opposition to the old theories; the fourth, metaphysical, psychological, and astrological, ...
— Kepler • Walter W. Bryant
... his predecessors. The probability is, that in all great works their authors assimilate an amount of information current in the age, as well as create new material. This was probably the case even in works like Euclid's Geometry and ...
— History of Free Thought in Reference to The Christian Religion • Adam Storey Farrar
... angles followed by a triangle, or a triangle followed by two right angles. Instantly, like Aristippus, we can say there is civilization in Mars, or wherever that sign comes from, or at least there is organized thought. The mind that is flashing that sign knows something about geometry. ...
— Editorials from the Hearst Newspapers • Arthur Brisbane
... should like to get up on a fence like that little bantam rooster of Darts' and crow it to all the world. Mrs. Martin, our principal, told me this morning I had done wonders in three months! And I was so stupid at first—French and Geometry seemed absolutely impossible. I used to put myself to sleep saying those awful French verbs. If the French had invented those verbs on purpose I'd never forgive them. But I suppose your language is like the color of your hair—you're not responsible. ...
— Chicken Little Jane • Lily Munsell Ritchie
... much. It is a splendid paper for little folks, and I find that older people like to read it too. I am eleven years old, and I study music, drawing, and other things. Ben is thirteen, and he studies algebra, geometry, and Latin. I have a beautiful pet dog named Prince. A showman gave him to me. He will not let strangers come in the yard when he is loose. He is black, ...
— Harper's Young People, June 29, 1880 - An Illustrated Weekly • Various
... little, dabbled with geometry some, read Gibbon a little, newspapers less, run some in the woods, and fooled away some of my time," answered Bart, with ...
— Bart Ridgeley - A Story of Northern Ohio • A. G. Riddle
... grammar, is to be led to entertain inaccurate notions of the subjects, about which it is particularly conversant. On the contrary, the ideas of grammar are exceedingly clear and accurate. It has, in my opinion, all those advantages, by which the study of geometry is usually recommended, without any of its disadvantages. It tends much to purge the understanding, to render it close in its investigations, and sure in its decisions. It introduces more easily and intelligibly than mathematical science, that most difficult of all the mental ...
— Four Early Pamphlets • William Godwin
... and taught by all its most distinguished teachers. It reasons, and, as we contend, must necessarily reason, from assumptions, not from facts. It is built upon hypotheses, strictly analogous to those which, under the name of definitions, are the foundation of the other abstract sciences. Geometry presupposes an arbitrary definition of a line, "that which has length but not breadth." Just in the same manner does Political Economy presuppose an arbitrary definition of man, as a being who invariably does that by which he may obtain the ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill
... front, compelling the Russians to evacuate northern Hungary up to the Lupkow Pass; in that pass itself preparations are afoot to abandon the hard-earned position. It is not fear, nor the precaution of cowardice that prompted this wholesale removal of fighting men: the inexorable laws of geometry demanded it. The enemy was at Krempna; as the crow flies the distance from Krempna to the northern debouchment of Lupkow is eighty miles; yet Lupkow was threatened, for the "line" or "front" is pierced—the vital artery of the ...
— The Story of the Great War, Volume V (of 12) - Neuve Chapelle, Battle of Ypres, Przemysl, Mazurian Lakes • Francis J. Reynolds, Allen L. Churchill, and Francis Trevelyan
... he has just said, madame, for the wanderings of a madman," whispered the doctor; "he handles in this way sometimes the most difficult questions of geometry or astronomy, with an acuteness which would do honor to the most illustrious learned men. His knowledge is great. He speaks all the living languages, but he is, alas! a martyr to his thirst for erudition ...
— Mysteries of Paris, V3 • Eugene Sue
... write, and to them the basement was given, the second story to the older girls, and the upper to the boys. The teaching for the boys' department was limited to the elements of arithmetic, elementary algebra, astronomy, and geometry, but within these limits the education was thorough, and all who went through it were qualified for places in offices or counting-rooms. The day was always opened by the reading of Scripture and prayer by ...
— The Autobiography of a Journalist, Volume I • Stillman, William James
... old. He had a pretty thorough knowledge of arithmetic; but he had never studied algebra or geometry. In Latin he had read four of Cicero's orations, and six books of Virgil's Aeneid. He knew something of the elements of Greek grammar, and had read a ...
— Four Great Americans: Washington, Franklin, Webster, Lincoln - A Book for Young Americans • James Baldwin
... her, at nine years old, to a boarding-school, in order to learn a little ingenuity and artifice. Then, sir, she should have a supercilious knowledge in accounts;—and as she grew up, I would have her instructed in geometry, that she might know something of the contagious countries;—but above all, Sir Anthony, she should be mistress of orthodoxy, that she might not mis-spell, and mis-pronounce words so shamefully as girls usually ...
— The Rivals - A Comedy • Richard Brinsley Sheridan
... according to my Lord Arlington's order, see them to-day; but we parted, resolving to meet here at night: my Lord Brouncker being going with Dr. Wilkins, Mr. Hooke, [Dr. Robert Hooke, before mentioned, Professor of Geometry at Gresham College, and Curator of the Experiments to the Royal Society, of which he was one of the earliest and most distinguished members. Ob. 1678.] and others, to Colonel Blunt's, to consider again of the business of chariots, and to try their new invention. Which I saw here my Lord Brouncker ...
— The Diary of Samuel Pepys • Samuel Pepys
... am I? Nobody knows who anybody is. The data which life furnishes, towards forming a true estimate of any being, are as insufficient to that end as in geometry one side given would be to ...
— The Confidence-Man • Herman Melville
... maintain itself? Why, what should have reasonably destroyed the notion? This, viz., the sublimity of His moral system. But does the reader imagine that this sublimity is of a nature to be seen intellectually—that is, insulated and in vacuo for the intellect? No more than by geometry or by a sorites any man constitutionally imperfect could come to understand the nature of the sexual appetite; or a man born deaf could make representable to himself the living truth of music, a man born blind could make representable ...
— The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols) • Thomas De Quincey
... turn over and over. soar, to mount upward. role, a part performed. stake, a pointed stick. sign, a token; a mark. steak, a slice of flesh. sine, a line in geometry. step, a pace; a foot-print. skull, part of the head. steppe, a dreary plain. scull, to impel a boat. stoop, to bend forward. sleeve, an arm cover. stoup, a basin; a pitcher. sleave, untwisted silk. sum, the amount; whole. slight, to neglect; feeble. some, a part; ...
— McGuffey's Eclectic Spelling Book • W. H. McGuffey
... epithets and laborious attempts in the writer to display himself, are blemishes that give less offence when employed to defend error than when accumulated in the cause of truth, which is forgotten and lost under a profusion of ornaments. The difficulties of composition resemble those of geometry: they are the recollection of things so simple and convincing that we imagine we never can forget them; yet they are frequently forgotten at every step, and in every sentence. There is one best and clearest way of stating a proposition, ...
— The Adventures of Hugh Trevor • Thomas Holcroft
... he is said to have discovered the folly of that study by erecting a figure with the aid of one or two of the problems in Euclid. The propositions contained in Euclid he regarded as self-evident; and, without any preliminary study, he made himself master of Descartes' "Geometry" by his genius and patient application. Dr. Wallis's "Arithmetic of Infinites," Sanderson's "Logic," and the "Optics" of Kepler, were among the books which he studied with care; and he is reported to have found himself more deeply versed in some branches of knowledge than the ...
— The World's Greatest Books, Vol IX. • Edited by Arthur Mee and J.A. Hammerton
... necessity ascribed to the truths of Mathematics and even, with some reservations to be hereafter made, the peculiar certainty attributed to them is an illusion." "In the case of the definitions of Geometry there exist no real things exactly conformable to the definitions." Again Taine, "Les images sont les exactes reproductions de la sensation." Again Diderot, "Pour imaginer il faut colorer un fond et detacher de ce fait des points en leur supposant une couleur differente ...
— Essays Towards a Theory of Knowledge • Alexander Philip
... Egypt and Bel in Chaldea were the revealers not only of theology and the ritual, but of all human knowledge.[14] The names of the Oriental Hipparchi and Euclids who solved the first problems of astronomy and geometry were unknown; but a confused and grotesque literature made use of the name and authority of Hermes Trismegistus. The doctrines of the planetary spheres and the opposition of the four elements were made to support systems of anthropology ...
— The Oriental Religions in Roman Paganism • Franz Cumont
... beginning in April, 1880. The writer's intention was to embody in each Knot (like the medicine so dexterously, but ineffectually, concealed in the jam of our early childhood) one or more mathematical questions—in Arithmetic, Algebra, or Geometry, as the case might be—for the amusement, and possible edification, of the fair readers of ...
— A Tangled Tale • Lewis Carroll
... I attended the Grammar School. Of the rudiments taught, I was fondest of drawing, geometry, and Euclid. Indeed, I went twice through the first two books of the latter before I was twelve years old. At this age I was sent to the Edinburgh Academy, my eldest brother William being then a medical student at the University. I remained ...
— Men of Invention and Industry • Samuel Smiles
... Dotheboys Hall, at the delightful village of Dotheboys, in Yorkshire, youths are boarded, clothed, booked, furnished with pocket-money, instructed in all languages living or dead, mathematics, orthography, geometry, trigonometry, the use of the globes, algebra, single-stick (if required), writing, arithmetic, fortification, and every other branch of classic literature. Terms, twenty guineas per annum. No extras, no vacations, and diet unparalleled. Mr. Squeers ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.
... harmony with life, it is about inert matter that intelligence is granted; it is a rider to our faculty of action; it triumphs in geometry; it feels at home among the objects in which our industry finds its supports and its tools. In a word, "our logic is primarily the logic of solids." (Preface to "Creative Evolution".) But if we enter the vital order its incompetence ...
— A New Philosophy: Henri Bergson • Edouard le Roy
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