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Trigonometry   Listen
noun
Trigonometry  n.  (pl. trigonometries)  
1.
That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.
2.
A treatise in this science.
Analytical trigonometry, that branch of trigonometry which treats of the relations and properties of the trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those branches of trigonometry in which its principles are applied to plane triangles and spherical triangles respectively.






Collaborative International Dictionary of English 0.48








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"Trigonometry" Quotes from Famous Books



... of angles when it was desirable to come down to a close calculation, and the young commander found his trigonometry very useful, and fortunately not forgotten. With an apparatus for taking ranges he had procured the bearing of the highflyer accurately as soon as the last course was given out, perhaps half an hour before. He took the range again, and found there ...
— A Victorious Union - SERIES: The Blue and the Gray—Afloat • Oliver Optic

... school should include at least one full year in college botany, covering the general morphology, histology, and physiology of plants, one course each in geology, physics, inorganic chemistry, zooelogy, and economics, with mathematics through trigonometry, and a reading knowledge of French or German. Some acquaintance with mechanical drawing is also desirable but not absolutely necessary. Other courses which are extremely desirable, if not altogether essential, are mineralogy, ...
— The Training of a Forester • Gifford Pinchot

... where perhaps they had a spyglass. This gave us the parallax of his observation. Breslau, of course, we knew, and so we could place Zitta's, and with these poor data I went to work to construct, if I could, an orbit for this Io-Phoebe mass of brick and mortar. Haliburton, not strong in spherical trigonometry, looked out logarithms for me till breakfast, and, as soon as it would do, went over to Mrs. Bowdoin, to borrow her telescope, ours being left at ...
— The Brick Moon, et. al. • Edward Everett Hale

... the end of dinner and the afternoon start for the harvest-and hay-fields, accomplishing more without a teacher in a few scraps of time than in years in school before my mind was ready for such work. Then in succession I took up algebra, geometry, and trigonometry and made some little progress in each, and reviewed grammar. I was fond of reading, but father had brought only a few religious books from Scotland. Fortunately, several of our neighbors had brought a dozen or two of all sorts of books, which I borrowed and read, keeping all ...
— The Story of My Boyhood and Youth • John Muir

... he's true to his first love. Culture came to him first, while yet he abode in Philistia, under the playful disguise of a conic section. He scaled his way out of Gath by means of a treatise on elementary trigonometry, and evaded Askelon on the wings of an undulatory theory of light. It is different with us, you know, who have emerged from the land of darkness by the regular classical and literary highway. We feed upon Rabelais and Burton; he flits carelessly from flower to flower of the ...
— Philistia • Grant Allen

... 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 a dentist or chiropodist he would be invaluable; or he ...
— How to Succeed - or, Stepping-Stones to Fame and Fortune • Orison Swett Marden

... new and very interesting, and he felt that it was of greater import than trigonometry, which he never could understand. It was like a window on life that he had a chance of peeping through, and he looked with ...
— Of Human Bondage • W. Somerset Maugham

... Geometry, Cosmography and Trigonometry, with requisite Tables of Longitude and Latitude of Sea-ports, Travers Tables, Tables of Easting and Westing, meridian miles, Declinations, Amplitudes, refractions, use of the Compass, Kalender, measure of the ...
— The accomplisht cook - or, The art & mystery of cookery • Robert May

... have had to take his greatness, in this regard, on trust. They have known him at first hand chiefly as author or editor of popular works such as his "Popular Astronomy" (1877); of his text-books on astronomy, algebra, geometry, trigonometry, and calculus; of his books on political economy, which science he was accustomed to call his "recreation"; and of magazine articles on all sorts of subjects not omitting "psychical research," which was one of the numerous by-paths into which he strayed. He held at one time the presidency ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... all things, sometimes disguised by affected languor, always well kept under by the laws of good-breeding,—but still it loves abundant life, opulent and showy organizations,—the spherical rather than the plane trigonometry of female architecture,—plenty of red blood, flashing eyes, tropical voices, and forms that bear the splendors of dress without growing pale beneath their lustre. Among these you will find the most delicious ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... uncontrollable fit of joyful laughter on hearing news of the Restoration. Among his extravagances was a genealogy of his family traced through his f. to Adam, and through his mother to Eve, he himself being the 153rd in descent. He pub. Trissotetras, a work on trigonometry (1645), an invective against the Presbyterians (1652), a scheme for a universal language, Logopandecteision (1653), and a partial translation of Rabelais (1653), a further portion being pub. ...
— A Short Biographical Dictionary of English Literature • John W. Cousin

... Lydia. She fretted most about her college work. Sitting by Lizzie's bed, when the old lady dozed in her brief respites from pain, she tried to carry on her lessons alone, but with indifferent success. She was too tired to concentrate her mind. Trigonometry rapidly became a hopeless tangle to her; Ancient History a stupid jumble of unrelated dates. And most of all, as the days went by, she felt the indifference of University folk. Nobody cared that she had dropped out, ...
— Lydia of the Pines • Honore Willsie Morrow

... girl's school (La Ascuncion) of elementary and superior branches, directed by French, English and Spanish mothers, which teaches French, English literature, arithmetic, algebra, trigonometry, topography, physics, geology, universal history, geography, designing, music, dress-making and needle-work. The capital has besides a municipal school of primary instruction and the following colleges: Santa Ysabel, Santa Catolina, La Concordia, ...
— History of Negro Soldiers in the Spanish-American War, and Other Items of Interest • Edward A. Johnson

... captains of Taepings and Ariels, and as fine specimens of the gentleman sailor-lad as any Englishman would wish to see. Such neatness and order without nonsense or prim awe. Health and brightness of boyhood, with seamen's smartness and silence: I hope they do not get too much trigonometry. However, for the past week they have been skurrying up aloft "to learn the ropes," skylarking among the rigging for play, and rowing and cricketing to expand muscle and limb; and now on the day of rest they sing beautifully to the well-played harmonium, then quietly listen to the clergyman ...
— The Voyage Alone in the Yawl "Rob Roy" • John MacGregor

... 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 is in town, and attends daily from one till four, at the ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.

... all the west winds from Wachusett that blew through me, soul and body, I was not strong; and my father found it necessary to oversee my methods of studying. Incidentally, I think, he influenced the choice of some of our text-books, and I remember that, with the exception of Greek and trigonometry—thought, in those days, to be beyond the scope of the feminine intellect—we pursued the same curriculum that our brothers did at college. In some cases we had teachers who were then, or afterwards, college professors in their specialties; in all departments I think we were faithfully ...
— McClure's Magazine, Volume VI, No. 3. February 1896 • Various

... of what? or of what kind of thing? It might be of the fields constituting a property; it might be of the stones in a wall; it might be of an irregular mosaic; or perhaps it might be only a school-boy's exercise in trigonometry for land-measuring. It must mean something; but it could hardly mean anything of consequence to anybody! Still it had been the old captain's probably—or perhaps the old lord's: he would replace it also where he had found it. Once more he unscrewed the horse from the stick, opened it with ...
— Warlock o' Glenwarlock • George MacDonald

... woman's nature. The simple need of her heart is never taken into account in the criticism of these marriages which are deemed "unequal." If a woman holds an assistant professorship of mathematics in a university, it is a foregone conclusion that she should fall in love with someone who is proficient in trigonometry and holds his tangents and cosines in high esteem. Happy evenings could then be spent with a book of logarithms and sheets of paper specially ...
— The Spinster Book • Myrtle Reed

... 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 period ...
— The Log of a Privateersman • Harry Collingwood

... explain to you with pleasure, as far as I know them myself; but when I'm at fault, my father, who is cleverer than I am, and understands trigonometry, can help us out." ...
— The Parent's Assistant • Maria Edgeworth

... The general School Course comprises Biblical History, Ancient History, the History and Literature of our own Country; the Greek, Latin and French Languages; Geometrical, Isometrical, Architectural and Landscape Drawing; Euclid, Algebra and Trigonometry; Navigation, Geography and Mapping; the use of the Globes, both table and high-standing; Land Surveying, Mensuration, Book-keeping, English Grammar, Composition with Precis-writing and Analysis; and such branches of Natural Science as it may ...
— Witchcraft and Devil Lore in the Channel Islands • John Linwood Pitts

... rue. Poetry is with him, in the language of Mr. E. Paxton Hood ('Eclectic and Congregational Rev.', Dec., 1868), "no jingle of words, or pretty amusement for harpsichord or piano, but rather a divine trigonometry, a process of celestial triangulation, a taking observations of celestial places and spheres, an attempt to estimate our world, its place, its life amidst the boundless immeasurable sweeps of space and time; or if describing, ...
— Introduction to Robert Browning • Hiram Corson

... study a few works on trigonometry and surveying during the winter, but it was a little difficult," he said. "For one thing, if you sat near the stove in the logging shack the light was dim, and you couldn't very well read anywhere else in the frost we had. Besides that, the boys generally insisted on everybody's playing cards, ...
— The Gold Trail • Harold Bindloss

... 'twere folly to lose a life for such a cause, the bells will match the rest of thy garb. The learning, too, of the censors and critics was often indeed remarkable. They condemned a recondite treatise on Trigonometry, because they imagined it contained heretical opinions concerning the doctrine of the Trinity; and another work which was devoted to the study of Insects was prohibited, because they concluded that it was a secret attack upon the Jesuits. Well might ...
— Books Fatal to Their Authors • P. H. Ditchfield

... of Condorcet, Algebra, and Geometry of Clairaut, the Trigonometry of Lacroix or Legendre, to ...
— How to Form a Library, 2nd ed • H. B. Wheatley

... we turned our attention to mathematics, a science Mr. Hardinge rightly enough thought there was no danger of my acquiring too thoroughly. We mastered arithmetic, of which I had a good deal of previous knowledge, in a few weeks, and then I went through trigonometry, with some of the more useful problems in geometry. This was the point at which I had arrived ...
— Afloat And Ashore • James Fenimore Cooper

... Primleigh, a member of our faculty of long standing and a lady in whom firmness of character is agreeably united with indubitable qualities of the mind, particularly in the fields of algebra, geometry and trigonometry. Miss Primleigh ...
— Fibble, D. D. • Irvin Shrewsbury Cobb

... been given to the work were needed to finish the jetty, and that there was a slight possibility that another one would be needed for the best improvement of the harbor, she thought her interest in the matter could be better kept alive If she should hunt up her old trigonometry and learn that all over again! With this idea she left the young men, whose kindness to her she fully appreciated, and went to find her party. She soon found, on the yacht ready to go back to town, all but Miss Ray; she had chosen to take one of ...
— The Bay State Monthly, Volume 3, No. 3 • Various

... of men of color (without distinguishing whether black, or of what degree of mixture), however slight the mention, or light the authority on which they are quoted. The whole do not amount, in point of evidence, to what we know ourselves of Banneker. We know he had spherical trigonometry enough to make almanacs, but not without the suspicion of aid from Ellicot, who was his neighbor and friend, and never missed an opportunity of puffing him. I have a long letter from Banneker, which shows him to have had a mind of very common stature indeed. ...
— The Journal of Negro History, Volume 3, 1918 • Various

... maintaining that the study of mathematics is not of practical value—sometimes and to some persons. The physicist and the engineer need to know a good deal about mathematics. But how is it with the merchant, the lawyer, the clergyman, the physician? How much of their algebra, geometry, and trigonometry do these remember after they have become absorbed in the practice of their several callings, and how often do they find it necessary to use anything beyond ...
— An Introduction to Philosophy • George Stuart Fullerton

... illiterate, while the negroes from the British Weat Indies, thanks to their good fortune in being ruled over by the world's best colonist, could almost invariably read and write; many of those shoveling in the "cut" have been trained in trigonometry. ...
— Zone Policeman 88 - A Close Range Study of the Panama Canal and its Workers • Harry A. Franck

... Dotheboys, near Greta Bridge in Yorkshire, Youth are boarded, clothed, booked, furnished with pocket-money, provided with all necessaries, instructed in all languages living and dead, mathematics, orthography, geometry, astronomy, trigonometry, the use of the globes, algebra, single stick (if required), writing, arithmetic, fortification, and every other branch of classical literature. Terms, twenty guineas per annum. No extras, no vacations, and diet unparalleled. ...
— The Life And Adventures Of Nicholas Nickleby • Charles Dickens

... "He's got mixed up. What they told him to say if any one asked him was that he was studying trigonometry and vocal culture.' He got stuck and called it ...
— The Rushton Boys at Rally Hall - Or, Great Days in School and Out • Spencer Davenport

... only a very crude sort of trigonometry, but a good deal about the warship of his time. To a boy living on the seacoast, who naturally thought a ship of war one of the greatest works of man, the book was ...
— The Reminiscences of an Astronomer • Simon Newcomb

... established it on a firm basis, solving equations of no inconsiderable difficulty, (of the fourth degree, it is said,) and enriched our arithmetic with various rules derived from this source, Single and Double Position among others. Trigonometry became a distinct branch of study with them; and then, as suddenly as they had appeared, they passed away. The Moorish cavalier had no longer a place in the history of the coming days; the sage had done his duty and departed, leaving among his mysterious ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various

... fun in the thing," added the malcontent, softening his tone. "We shall have the ship all to ourselves. We needn't trouble ourselves anything about Latin and Greek, and trigonometry and algebra. We shall go in for ...
— Outward Bound - Or, Young America Afloat • Oliver Optic

... purpose realised, there would be the same difference between the rules by which it might be effected, and Political Economy, which there is between the art of gunnery and the theory of projectiles, or between the rules of mathematical land-surveying and the science of trigonometry. ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill

... happily inspired as when it made a cathedral: a thing as single and specious as a statue to the first glance, and yet, on examination, as lively and interesting as a forest in detail. The height of spires cannot be taken by trigonometry; they measure absurdly short, but how tall they are to the admiring eye! And where we have so many elegant proportions, growing one out of the other, and all together into one, it seems as if proportion ...
— The Works of Robert Louis Stevenson - Swanston Edition - Vol. 1 (of 25) • Robert Louis Stevenson

... somewhat bewildering course of study is given. The list of subjects begins well. First, a lad is here taught his duties as the head of a family, a citizen, and a man of business. Then come geography, history, arithmetic, book-keeping, trigonometry, linear drawing, mechanics, chemistry, physics, natural history, botany, geology, agrologie, or the study of soils, irrigation, political economy. Whilst farming generally is taught, the speciality ...
— In the Heart of the Vosges - And Other Sketches by a "Devious Traveller" • Matilda Betham-Edwards

... over his body, which do not depend upon belief. I kept saying to myself, "There is nothing! I do not believe a word of it! 'Tis naught but old wives' fables!" But, all the same, I took with a great deal of thankfulness the dressing-down I had got from my father for being late for home lessons on a trigonometry night. You see, I was born and reared in Galloway, and I suppose it was just what they have come to call in these latter ...
— The Dew of Their Youth • S. R. Crockett

... fruitage; whenever the nature of the case does not presume a contradistinction of the one to the other.] Religion, in the eye of a Pagan, had no more relation to morals, than it had to ship-building or trigonometry. But, then, why was religion honored amongst Pagans? How did it ever arise? What was its object? Object! it had no object; if by this you mean ulterior object. Pagan religion arose in no motive, but in an impulse. Pagan religion aimed at no distant prize ahead: it fled from a danger immediately ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... tutor used to give me an exercise in trigonometry it always took the shape of measuring heights. When I was a lad I worked out every tree ...
— The Strand Magazine, Volume V, Issue 29, May 1893 - An Illustrated Monthly • Various

... tried it by square root and by cube root. He tried it by addition, simple and otherwise, and he tried it by mixed examples in vulgar fractions. But it was all of no use. Then he tried to do the sum by algebra, by simple and by quadratic equations, by trigonometry, by logarithms, and by conic sections. But it would not do. He got an answer every time, it is true, but it was always a different one, and he could not feel sure ...
— The Book of Dragons • Edith Nesbit

... Eliza Brewster, teacher of drawing and painting. Compare these faculties and note what provision is made here for the sciences and languages. Look at the course of instruction in the college of arts. During the first year the men study higher algebra, conic sections, plane trigonometry, German (Otto's) botany, Gibbon's Rome. In the college of letters the course is similar, but more attention is given to classical studies; to Livy, Xenophon and Horace. During the same years in the female college, they are studying higher arithmetic, elementary algebra, United States history, ...
— History of Woman Suffrage, Volume III (of III) • Various

... glass, when they can be looked at through a magnifying lens from behind, or they can be observed in the air when the ground glass is removed. Instead of permitting them to form on the retina, we will suppose them formed on a screen. This places us in a condition to understand, even without trigonometry, the solution of the important problem of measuring the length of ...
— Six Lectures on Light - Delivered In The United States In 1872-1873 • John Tyndall

... who is poor in mathematics can learn something about geometry, algebra, and trigonometry; even he who "has no head for language" can learn to speak a foreign tongue and even to read Latin or Greek. It is not easy for either one of them and perhaps the one can never become a great mathematician nor the other a ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... be used in figuring your return. Personally we employ trigonometry, altho many prefer calculus and a ...
— More Toasts • Marion Dix Mosher

... analytic treatment of the elements of Plane and Spherical Trigonometry and their practical applications to Surveying, Geodesy, and Astronomy, with convenient and accurate "five place" tables for the use of the student, engineer, and surveyor. Designed for High Schools, Colleges, ...
— First Book in Physiology and Hygiene • J.H. Kellogg

... did not know well what politics meant and that he did not know where the universe ended. He felt small and weak. When would he be like the fellows in poetry and rhetoric? They had big voices and big boots and they studied trigonometry. That was very far away. First came the vacation and then the next term and then vacation again and then again another term and then again the vacation. It was like a train going in and out of tunnels and that was like the noise of the boys ...
— A Portrait of the Artist as a Young Man • James Joyce

... 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 of the Globes, Natural and Moral ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton

... women, while of those enrolled in general science courses, but 17.2% were women. In 1,511 public and private high schools and seminaries, reporting to the Bureau of Education in 1909-1910, a larger percentage of boys than of girls was enrolled in algebra, geometry, trigonometry, physics, chemistry, physical geography, civil government and rhetoric, which is a scientific study of language. A larger proportion of girls enrolled in Latin, French, German, English literature and history, and there was a slightly greater enrollment of girls ...
— Woman in Modern Society • Earl Barnes

... structure of the world.—They ascertain the size of the earth, and determine its shape.— Their khalifs collect great libraries, patronize every department of science and literature, establish astronomical observatories.—They develop the mathematical sciences, invent algebra, and improve geometry and trigonometry.—They collect and translate the old Greek mathematical and astronomical works, and adopt the inductive method of Aristotle.—They establish many colleges, and, with the aid of the Nestorians, organize a public-school system.—They ...
— History of the Conflict Between Religion and Science • John William Draper

... things, commend me to the Mausoleum Club on just such an evening. Its broad corridors and deep recesses are filled with shepherdesses such as you never saw, dressed in beautiful shimmering gowns, and wearing feathers in their hair that droop off sideways at every angle known to trigonometry. And there are shepherds, too, with broad white waistcoats and little patent leather shoes and heavy faces and congested cheeks. And there is dancing and conversation among the shepherds and shepherdesses, with such brilliant flashes of wit and ...
— Arcadian Adventures with the Idle Rich • Stephen Leacock

... have carried the observatory about 8000 miles away from A, and placed it at, say, B. If the moon's direction be again noted, it is very easy to calculate her distance by a branch of mathematics called trigonometry, which Jack, I have ...
— Harper's Young People, March 9, 1880 - An Illustrated Weekly • Various

... triangles—trigonometry a subdivision of pure mathematics. Further, the reduction of the doctrine of the sphere to the quantitative form needed for astronomical purposes, required the formation of a spherical trigonometry, which was also achieved by Hipparchus. Thus both plane and spherical trigonometry, which are parts of the highly abstract and simple science of extension, remained undeveloped until the less abstract and more complex science of the celestial motions had need of them. The fact admitted by M. Comte, that since Descartes the progress of ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer

... to give me an exercise in trigonometry, it always took the shape of measuring heights. When I was a lad I worked out every tree and ...
— Memoirs of Sherlock Holmes • Sir Arthur Conan Doyle

... shut up the cook-book. Eggs a la reine seemed as difficult as trigonometry, or conic sections, or differential calculus—and much more expensive. Certainly the eight giggling cooks in the kitchen, now at the very height of their exhilaration, worried themselves little about such concoctions. My nerves again began to play pranks. The devilish pandemonium ...
— The Wit and Humor of America, Volume I. (of X.) • Various

... trigonometry," he concluded, "to solve the problem three elements must be known. I know four. Therefore, I can take each of the known, treat it as unknown, and have four ways to check my result. I find that the time might have been either three o'clock, ...
— The Ear in the Wall • Arthur B. Reeve

... Our generation demands—and very rightfully, too—that the sphere of knowledge be enlarged, that the sciences of Nature receive sufficient attention. To attempt to undo what has been done, to restore the curriculum to the antiquated cadre of Latin and Greek, trigonometry, mental science and rhetoric, would be a reaction ...
— Lippincott's Magazine of Popular Literature and Science - February, 1876, Vol. XVII, No. 98. • Various

... informs him he was at Harvard. Elder man listens to him with a grim and wooden forbearance. "Ez fur languages," the younger man is saying. "I'd undertake to learn any language inside of six months. Fur enstance, I got up Trigonometry in two. You'll tell me that isn't a language, and that's so, but take Latin now, I'd learn Latin—to write and speak—in a year, Italian I'd learn in a fortnight—with constant study, you understand. Then there's German. Well. I cann't read German—not in their ...
— Punch, or the London Charivari, Vol. 102, June 11, 1892 • Various

... they condemned as heretical, two books; one of which, entitled "Principes de la Trigonometrie," the censor would not allow to be printed, because the Trinity, which he imagined to be included in trigonometry, was not permitted to be discussed: and the other, on the "Destruction of Insects," he insisted had a covert allusion to the Jesuits, who, he conceived, ...
— Curiosities of Literature, Vol. II (of 3) - Edited, With Memoir And Notes, By His Son, The Earl Of Beaconsfield • Isaac D'Israeli

... of every age, nationality and experience, fits them somewhere into his four-year course; gives them a numbered time check from his time board; teaches them reading, writing, arithmetic, mechanical drawing, geometry, algebra and trigonometry by means of an ingenious series of blueprints, which constitute their sole text-book; visits them in their shops, giving suggestions and advice about the shop work, and finally sends them out finished craftsmen, with an ...
— The New Education - A Review of Progressive Educational Movements of the Day (1915) • Scott Nearing

... longitude. If we can ascertain the length of AB, or the distance South the ship has sailed, we shall have the difference of latitude, and if we can get the length of the line BC, we shall have the Departure and from it the difference of longitude. This is a simple problem in trigonometry, i.e., knowing the angle and the length of one side of a right triangle, what is the length of the other two sides? But you do not have to use trigonometry. The whole problem is worked out for you in Table 2 of Bowditch. Find the angle of the course ...
— Lectures in Navigation • Ernest Gallaudet Draper

... death, and chiefly occupied with my children, especially with the one I was nursing; but as I did not go into society, I rose early, and, having plenty of time, I resumed my mathematical studies. By this time I had studied plane and spherical trigonometry, conic sections, and Fergusson's "Astronomy." I think it was immediately after my return to Scotland that I attempted to read Newton's "Principia." I found it extremely difficult, and certainly did not understand it till I returned to it some time after, when I studied that wonderful ...
— Personal Recollections, from Early Life to Old Age, of Mary Somerville • Mary Somerville

... for which they were entered. Sherriff of the Fifth was one of these, and, much as he liked cricket, he was bemoaning one day having to turn out into the fields just when he wanted to finish a knotty problem in trigonometry. ...
— The Master of the Shell • Talbot Baines Reed

... elective, but her advice to me was, not to omit anything because I did not like it. I had a natural distaste for mathematics, and my recollections of my struggles with trigonometry and conic sections are not altogether those of a conquering heroine. But my teacher told me that my mind had need of just that exact sort of discipline, and I think ...
— A New England Girlhood • Lucy Larcom

... eyes, as he thought, to the everlasting meaning of things, to "the laws of Life and the decrees of Destiny." He was one of those who had found, as he thought, what he could do, and was sensible enough to do it. Let the poor fellows, who gave themselves to science, trouble their twisted minds with trigonometry and the formula of some grotesque chemical combination; let the dull people rub their noses in the ink of Greek and Latin, which was no use for everyday consumption; let the heads of historians ache with the warring facts of the lives of nations; it all made for sleep. But philosophy—ah, ...
— The Judgment House • Gilbert Parker

... we all commenced in earnest our studies in navigation and seamanship, the naval instructor with his assistants working us up in our mathematics and imparting to us the elements of plane and spherical trigonometry; while the boatswain and his mates gave us practical lessons in the setting up of rigging and making of knots, so that there should be no chance of our mistaking a "sheepshank" for a "cat's paw," or a "Flemish eye" for ...
— Crown and Anchor - Under the Pen'ant • John Conroy Hutcheson

... relish jokes at the expense of his idol. "Ne lude cum sacris," ecclesiastically rendered, signifies, do not make fun of the clergy; but among lovers it means, do not speak of my love with levity or contempt. I remember when I was in love for the third or fourth time—I was then studying trigonometry and navigation—my passion being unable to expend itself in sonnets to my mistress's eyebrow, I gave way to geometrical flights of fancy, and took the altitude of every apple-tree and well-pole in the neighborhood, and ...
— An Old Sailor's Yarns • Nathaniel Ames

... caning them. He taught, among other things, the classics, of course, the English language grammatically, arithmetic in all its branches, book-keeping in the Italian manner, and the elements of algebra, geometry, and trigonometry with their applications to surveying and navigation. He also wrote various sorts of hands, fearful and marvellous to the uninitiated, with which he was wont to decorate my monthly reports to my grandfather. I can ...
— The Crossing • Winston Churchill

... direction and now in the opposite. Our common-school system now rejects sewing from the education of girls, which very properly used to occupy many hours daily in school a generation ago. The daughters of laborers and artisans are put through algebra, geometry, trigonometry, and the higher mathematics, to the entire neglect of that learning which belongs distinctively to woman. A girl cannot keep pace with her class if she gives any time to domestic matters, and accordingly she is excused from them all during the whole term of her education. The boy of a family, ...
— Household Papers and Stories • Harriet Beecher Stowe

... taught Miriam so much of geometry as was sufficient to make her understand what he meant when he told her that a fixed star yielded no parallax, and that the earth was consequently the merest speck of dust in the universe. She found his simple trigonometry very, very hard, but to her husband it was easy, and with ...
— Miriam's Schooling and Other Papers - Gideon; Samuel; Saul; Miriam's Schooling; and Michael Trevanion • Mark Rutherford

... Slide Rule; with the Theory of Trigonometry and Logarithms, including Practical Geometry, Surveying, Measuring of Timber, Cask and Malt Gauging, Heights, and Distances. By THOMAS KENTISH. ...
— Mechanical Drawing Self-Taught • Joshua Rose

... the point O we let fall the line C E perpendicular to the radius O A, this line will divide the radius O A into two parts, O E and E A. Now we have the three interior lines, or the three lines within the circle, which are fundamental in trigonometry. C E is the sine, O E is the cosine, and E A is the versed sine of the angle A O C. Respecting these three lines there are many things to be observed. I will call your attention to the ...
— Scientific American Supplement, Vol. XXI., No. 531, March 6, 1886 • Various

... ranged up abeam of the commodore, and I proposed that we should follow the river up as far as the wall again, in order to do our work honestly; but to this he objected that he had no wish to puzzle himself with spherical trigonometry; that plane sailing was his humour at the moment; and that he had, moreover, just discovered that one of his boots pinched his foot. Accordingly we proceeded straight from the bridge, not meeting the wall again until we were beyond the abattoir. These abattoirs are slaughter-houses, ...
— Recollections of Europe • J. Fenimore Cooper

... possible by means of the instruments created for him by the electrician, through the advances in method which these instruments effect. With a second and more intimate point of view arrives a new trigonometry of the particle, a trigonometry inconceivable in pre-electric days. Hence a surround is in progress which early in the twentieth century may go full circle, making atom and molecule as obedient to the chemist as brick and stone are to ...
— Little Masterpieces of Science: - Invention and Discovery • Various

... he talked of affairs on land and when he attempted to deal with nautical matters. The clear, dispassionate finality of his tone when phosphates, or railroads, or navy yards, or imperial loans were concerned, left him, and changed to something very like a recitation of trigonometry well memorized but not at all mastered; he could do that particular sum, but you mustn't stop him; and I concluded that I would rather have Charley for my captain during a panic in Wall Street than in a hurricane ...
— Lady Baltimore • Owen Wister

... that was not for sale contains exactly eleven acres. Of course it is not difficult to find the answer if we follow the eccentric and tricky tracks of intricate trigonometry; or I might say that the application of a well-known formula reduces the problem to finding one-quarter of the square root of (4 x 370 x 116) -(370 116 - 74) squared—that is a quarter of the square root ...
— Amusements in Mathematics • Henry Ernest Dudeney

... I moved my books and desk upstairs, to an empty room where I should be undisturbed, and I fell to studying in earnest. I worked off a year's trigonometry that summer, and began Virgil alone. Morning after morning I used to pace up and down my sunny little room, looking off at the distant river bluffs and the roll of the blond pastures between, scanning the AEneid aloud and committing long passages to memory. Sometimes in the ...
— My Antonia • Willa Sibert Cather

... the most simple and least complicated method of determining the various relations of the sides and angles of the acute and obtuse-angled triangles, without the aid of trigonometry, construction, or, in fact, by any ...
— Notes and Queries, Number 75, April 5, 1851 • Various

... Wordsworth, and repaired, according to his wont, to David's cottage. It was Saturday, and he would stay to supper. After they had given the usual time to their studies, Hugh, setting Margaret some exercises in English to write on her slate, while he helped David with some of the elements of Trigonometry, and again going over those elements with her, while David worked out a calculation—after these were over, and while Janet was putting the supper on the table, Hugh pulled out his volume, and, without any preface, read them the Leech-Gatherer. All listened ...
— David Elginbrod • George MacDonald

... thousand tickets at twenty shillings each. There was to be a lottery; two thousand prizes were to be drawn; and the fortunate holders of the prizes were to be taught, at the charge of the Company, Latin, Greek, Hebrew, French, Spanish, conic sections, trigonometry, heraldry, japanning, fortification, bookkeeping and the art of playing the theorbo. Some of these companies took large mansions and printed their advertisements in gilded letters. Others, less ostentatious, were content with ink, ...
— The History of England from the Accession of James II. - Volume 4 (of 5) • Thomas Babington Macaulay

... good girl, and knows altogether too much for poor Pathfinder, who is a reasonable man and an experienced man in his own way; but who has no more idea of the main chance than you have of spherical trigonometry, Sergeant." ...
— The Pathfinder - The Inland Sea • James Fenimore Cooper

... Mariners, and Travellers, Translated into Englyshe by Arthur Golding, gent." (1585-7.)] What next? Why, "having thus passed the principles of Arithmetic, Geometry, Astronomy, and Geography, with a general compact of Physics, they may descend, in Mathematics, to the instrumental science of Trigonometry, and from thence to Fortification, Architecture, Enginry, or Navigation; and, in Natural Philosophy, they may proceed leisurely from the History of Meteors, Minerals, Plants, and Living Creatures, as far as Anatomy. Then also in course ...
— The Life of John Milton Vol. 3 1643-1649 • David Masson

... position of the meridian as determined in the summer months. If winter observations are made, the distance in January should be used. The formula for computing the angle of elongation is easily made by any one understanding spherical trigonometry, ...
— Scientific American Supplement, No. 344, August 5, 1882 • Various

... compass, measuring tape, draughtsman's scale, protractor, drawing materials and a small home-made transit. The leader should, if possible, become familiar with some good textbook on surveying, such as Wentworth's Plane Trigonometry and Surveying. He should also get some civil engineer to give him a little instruction in the rudiments. It is well also to get some practice before going to camp. Any vacant lot or gymnasium floor will be suitable. ...
— Camping For Boys • H.W. Gibson

... Elfreda, screwing her face into a startling resemblance to a fussy instructor in freshman trigonometry and using ...
— Grace Harlowe's Second Year at Overton College • Jessie Graham Flower

... modern astronomers; they ascertained the position of the stars by right ascension and declination; they knew the obliquity of the ecliptic, and determined the place of the sun's apogee as well as its mean motion. Their calculations on the eccentricity of the moon prove that they had a rectilinear trigonometry and tables of chords. They had an approximate knowledge of parallax; they could calculate eclipses of the moon, and use them for the correction of their lunar tables. They understood spherical trigonometry, and determined the motions of the sun and moon, ...
— Beacon Lights of History, Volume III • John Lord

... care for your algebra and your trigonometry?" he one day observed. "I take my John Norie and my Gunter's Scale, and I work out my day's work as well as any man; and what more should I want to know, tell me? Your mathematicians are all humbugs in my ...
— Salt Water - The Sea Life and Adventures of Neil D'Arcy the Midshipman • W. H. G. Kingston

... surveying. My acquaintance with Mr. Taylor, district surveyor at Ballaarat, obtained for him an admission as an amateur into his office. He there set to work with his characteristic industry to perfect himself in trigonometry and Euclid; drawing and mapping in the office by day, and working hard in his own room by night. On rising from bed in the morning, I have found him sitting as I had left him, working out his point, for he never deserted anything he had once taken up until ...
— Successful Exploration Through the Interior of Australia • William John Wills

... has allowed men to make laws for them, socially and ethically. So I wouldn't stop at Girton, partly because I felt the life was one-sided,—our girls thought and talked of nothing else on earth except Herodotus, trigonometry, and the higher culture,—but partly also because I wouldn't be dependent on any man, not even my own father. It left me freer to act and think as I would. So I threw Girton overboard, and came up ...
— The Woman Who Did • Grant Allen

... room above them, Sylvia bent over a problem in trigonometry, and rapidly planned a new evening-dress. After a time she got up and opened her box of treasures from Aunt Victoria. The yellow chiffon would do—Jerry had said he liked yellow—she could imagine how Mrs. Hubert would expend herself on Eleanor's toilets ...
— The Bent Twig • Dorothy Canfield

... hero finds out that Trigonometry is not only necessary to Navigation, but may be required in settling affairs ...
— Mr. Midshipman Easy • Frederick Marryat

... "Suriya Sidhanta," generally assigned to the fifth or sixth century, contains a system of Hindu trigonometry, which not only goes beyond anything known to the Greeks, but involves theorems that were not discovered in Europe till the sixteenth century.—MOUNT-STUART ELPHINSTONE'S India, b. iii. ...
— Ceylon; an Account of the Island Physical, Historical, and • James Emerson Tennent

... whole future community in that place. He is opening to fifty or a hundred minds stores of knowledge which they will go on exploring for years to come. What a descent now from such a work as this to the mere hearing of the recitation of two or three boys in Trigonometry! ...
— The Teacher • Jacob Abbott

... was necessary for these talks—each one dealing with from four to ten books—and also a principle of selection. The principle Gilbert chose for one series was historical: "Literature lives by history. Otherwise it exists: like trigonometry." In the fifth talk of the Autumn series of 1934, he gives a general idea of ...
— Gilbert Keith Chesterton • Maisie Ward

... try how he takes to trigonometry? He might care to learn land-surveying! Gentlemen now, not unfrequently, take charge of the properties of their more favoured relatives. There is Mr. Graeme, your own factor, my lord—a relative, ...
— Donal Grant • George MacDonald

... mathematics they did not do so well, on account of the lack of training to think consecutively and methodically. It is a mistake to believe this a mental infirmity of the race; for a very large number of the students in college at the present time do as well in mathematics, geometry, trigonometry, mensuration, and conic sections as the white students of the same age; and some ...
— History of the Negro Race in America from 1619 to 1880. Vol. 2 (of 2) - Negroes as Slaves, as Soldiers, and as Citizens • George Washington Williams

... trigonometry, over, Jane hurried across the campus toward the Hall, keeping a sharp lookout for Alicia. It was just possible she might meet the latter on ...
— Jane Allen: Right Guard • Edith Bancroft

... lamented shipmate made it obligate,' 'e says, 'to take certain steps not strictly included in the regulations. An' nobly,' says 'e, 'have you assisted me. Now,' 'e says, 'you hold the false and felonious reputation of bein' the smartest ship in the Service. Pigsties,' 'e says,' is plane trigonometry alongside our present disgustin' state. Efface the effects of this indecent orgy,' he says. 'Jump, you lop-eared, flat-footed, butter-backed Amalekites! Dig out, you ...
— Traffics and Discoveries • Rudyard Kipling

... may be taken to represent the projecting triangles of the five-pointed star. This figure may also be called a kind of regular pentagon (see Todhunter's "Spherical Trigonometry," p. 143). If this interpretation is accepted, the Rasi or sign in question represents the "microcosm." But the "microcosm" or the world of thought is really represented by Vrischika. From an objective point of view the "microcosm" is represented by the human body. ...
— Five Years Of Theosophy • Various

... little trigonometry and how to cross top-gallant yards. He was generally liked. He had the third place in navigation and pulled stroke in the first cutter. Having a steady head with an excellent physique, he was very smart aloft. His station was in the fore-top, and often from there he looked down, with the ...
— Lord Jim • Joseph Conrad

... thinking deals more with relations and meanings than with particular objects, images naturally play a smaller part in reasoning than in memory and imagination. Yet they have their place here as well. Students of geometry or trigonometry often have difficulty in understanding a theorem until they succeed in visualizing the surface or solid involved. Thinking in the field of astronomy, mechanics, and many other sciences is assisted at certain points by the ability to form clear and ...
— The Mind and Its Education • George Herbert Betts

... studies of grammar and advanced grades. The class in trigonometry gave evidence of the practical character of its labors by exhibiting a plat of the college property—some 270 acres in all—drawn to ...
— American Missionary - Volume 50, No. 9, September, 1896 • Various

... shoes!" cried Donald hotly. "Forget 'em! I've got to move on or I'll be late for trigonometry, but I don't know when I've had such a tidy little fight with a girl, and I don't enjoy feeling that I have been worsted. I propose another session. May I come out to Lilac Valley Saturday afternoon and flay you alive to pay up for ...
— Her Father's Daughter • Gene Stratton-Porter

... engineer in these days feels that he has the time or the inclination to take a beginner into his office and teach him all of the work from the ground up. On the other hand, a boy who has been grounded well in algebra, geometry and trigonometry may then easily enter the office of a practicing civil engineer and begin with the tools of the profession. Transit manipulation and readings, the use of the plummet line, the level, compass, rod, ...
— The High School Captain of the Team - Dick & Co. Leading the Athletic Vanguard • H. Irving Hancock

... 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 school for the Armenians was opened at ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume I. • Rufus Anderson

... rovings in 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 we pursued in the night-time, when birds and plants were as though they were not. I cannot ...
— Birds in the Bush • Bradford Torrey

... too good, too difficult a book for general, popular use, and too incomplete for the purposes of the professional student. As it assumes that the student is already acquainted with the elements of Algebra, Trigonometry, Analytic Geometry, and the Calculus, the successful use of this text-book in the general classes of any academy or college will be good evidence that the Mathematics are there taught more thoroughly than is usual in this country. In few American ...
— Atlantic Monthly, Vol. 5, No. 31, May, 1860 • Various

... speak of three subjects, trigonometry (represented by Hipparchus, Menelaus, and Ptolemy), mensuration (in Heron ...
— The Legacy of Greece • Various

... scrutiny, and then ventured a question in the higher branches of mathematics. This I also solved; but I found talent was not exactly what they wanted. The little skinny captain seemed rather disappointed that he could not find fault with me. A difficult problem in spherical trigonometry lay before them, carefully drawn out, and the result distinctly marked at the bottom; but this I was not, of course, permitted to see. I soon answered the question; they compared my work with that which had been prepared for them; and as they did not exactly agree, I was told that I was wrong. ...
— Frank Mildmay • Captain Frederick Marryat

... given the whole of the first year in which to qualify in simple algebra; in the second year he takes up plane geometry; in the third he comes upon solid geometry; in the fourth year of high school work the young man masters plane trigonometry and ...
— Dick Prescott's First Year at West Point • H. Irving Hancock

... even recognise a right-angled triangle, if the right angle were uppermost. It so happened that the year before I had to sit for my examinations, a young University student in his first year, who had been only one class in front of the rest of us, offered us afternoon instruction in trigonometry and spherical geometry gratis, and all who appreciated the help that was being offered to them streamed to his lessons. This young student, later Pastor Joergen Lund, had a remarkable gift for mathematics, and gave his instruction with a lucidity, a fire, and a swing that carried his hearers ...
— Recollections Of My Childhood And Youth • George Brandes

... an exacting government expects and demands that we shall know. Just look over the list—mechanical drawing and mechanical processes, analytical geometry, calculus, physics, chemistry, English literature, French and Spanish, integral calculus, spherical trigonometry, stereographic projection and United States Naval history! David, my boy, by the end of this year we'll know more than ...
— Dave Darrin's Second Year at Annapolis - Or, Two Midshipmen as Naval Academy "Youngsters" • H. Irving Hancock

... be presented as a series of subjects, e.g., algebra (advanced), solid geometry, trigonometry, analytical geometry, calculus, etc.? Would it be better to present the subject as a single and unified whole ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper

... architect *Tele far, far off telepathy, telescope {*Temno cut } {*Tomos that which is } epitome, anatomy, tome { cut off } *Theos god theosophy, pantheism *Therme heat isotherm, thermodynamics {Tithenai place } epithet, hypothesis, {Thesis a placing, } anathema { arrangement } *Treis three trichord, trigonometry ...
— The Century Vocabulary Builder • Creever & Bachelor

... love for the beautiful. Inspiring them to love trees generally means more than teaching them to know trees. Mere facts about trees taught in an academic way are often no more lasting than the formulae in trigonometry which most of us have long ago forgotten. The important thing is that permanent results be left and nothing else will produce such lasting impressions as the study of trees ...
— Studies of Trees • Jacob Joshua Levison

... convenient scale draw a similar section of strata with a dip of 30 degrees outcropping along a horizontal line normal to the strike one thousand feet in length, and measure the thickness of the strata by the scale employed. The thickness may also be calculated by trigonometry. ...
— The Elements of Geology • William Harmon Norton

... Take a case in Trigonometry—a Complement is what remains after subtracting an angle from one right-angle. Take 60 degrees from 90 degrees, and we have the complement 30 degrees—a Supplement is what remains after subtracting ...
— Assimilative Memory - or, How to Attend and Never Forget • Marcus Dwight Larrowe (AKA Prof. A. Loisette)

... principles into mathematics, and extended the use and application of that science. They added to arithmetic the decimal system, and the Arabic numerals, which, however, are of Hindu origin; they simplified the trigonometry of the Greeks, and gave algebra more useful and general applications. Bagdad and Cordova had celebrated schools of astronomy, and observatories, and their astronomers made important discoveries; a great number of scientific words are evidently Arabic, such as algebra, alcohol, ...
— Handbook of Universal Literature - From The Best and Latest Authorities • Anne C. Lynch Botta

... if you know what that means, Norah!" Norah grinned. "Ah, well, Mr. Stephenson here will make you forget all that undesirable knowledge before long—lost in a maze of Euclid, and Latin, and Greek, and trigonometry, and things!" ...
— A Little Bush Maid • Mary Grant Bruce

... said, "but what I mean is that college, after all, is a pretty hard grind. Things like mathematics and Greek are no joke, are they? In my day, as I remember it, we used to think spherical trigonometry about the hardest stuff ...
— Frenzied Fiction • Stephen Leacock

... steward's hieroglyphics, favoured by the same light, and the captain of marines was examining the lock of an aged musket. The third and fourth lieutenants were helping each other to untangle one of their Bay-of-Biscay reckonings, which had set both plane and spherical trigonometry at defiance, by a lamp of their own; and the chaplain was hurrying the steward and the boys along with the breakfast—his usual occupation at that "witching time" in ...
— The Two Admirals • J. Fenimore Cooper

... numerals. In geometry the Arabs added little to Euclid, but algebra is practically their creation. An Arabic treatise on algebra long formed the textbook of the subject in the universities of Christian Europe. Spherical trigonometry and conic sections are Arabic inventions. This mathematical knowledge enabled the Arabs to make considerable progress in astronomy. Observatories at Bagdad and Damascus were erected as early as the ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER

... advances on the scientific work done by the Greeks were made. A degree of the earth's surface [3] was measured on the shores of the Red Sea; the obliquity of the ecliptic was determined (c. 830); astronomical tables were calculated; algebra and trigonometry were perfected; discoveries in chemistry not known in Europe until toward the end of the eighteenth century, and advances in physics for which western Europe waited for Newton (1642-1727), were ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY

... jealousy, which next week was to expel David from Font Abbey, impelled Mr. Talboys to call the very next day at one o'clock to see what was being done under cover of trigonometry. He found Mr. and Miss Fountain just sitting down to luncheon. David and Arthur were actually together somewhere, perhaps going through the farce of geometry. He was half vexed at finding no food for his suspicions. Presently, so spiteful is chance, the door opened, ...
— Love Me Little, Love Me Long • Charles Reade

... Davies' Legendre's Geometry and Trigonometry. Church's Descriptive Geometry. French Language...........Bolmar's Levizac's Grammar and Verb Book. Agnel's Tabular System. Berard's Lecons Francaises. *Spier's and Surenne's Dictionary. Tactics of Artillery......Practical Instruction in the and Infantry Schools of the Soldier, Company, and Battalion. ...
— Henry Ossian Flipper, The Colored Cadet at West Point • Henry Ossian Flipper

... fellow-travellers in our unending journey round the sun, come at times well within the scope of celestial trigonometry. The orbit of Mars lies at one point not more than thirty-five million miles outside that of the earth, and when the two bodies happen to arrive together in or near the favourable spot—a conjuncture which occurs ...
— A Popular History of Astronomy During the Nineteenth Century - Fourth Edition • Agnes M. (Agnes Mary) Clerke

... theory of the tides; a set of notes on the magnetism of the earth exists in manuscript; a manuscript of 106 pages, consisting of a treatise on spheric trigonometry, is illustrated by beautifully drawn diagrams, and includes an account of eight practical methods of calculating latitude and five of calculating longitude. In Mauritius he read all he could obtain ...
— The Life of Captain Matthew Flinders • Ernest Scott

... Gershom was saying. "But look at Betelgeuse up there, which Michelson has been able to measure. He has, at least, succeeded in measuring the angle at the eye that Betelgeuse subtends, so that after estimating its parallax as given by a heliometer, it's merely a matter of trigonometry to work out the size of the star. And he estimated Betelgeuse to be two hundred and sixty million miles in diameter. That means it would take twenty-seven million of our suns to equal it in bulk. So that this big world of ours, which takes so many weeks to crawl about on the fastest ...
— The Prairie Child • Arthur Stringer

... military taste. Among his books, Plutarch's Lives, and the Histories of Great Commanders, appeared to have been frequently consulted; but the dust had gathered thickly upon the Carpenter's Manual, and a Treatise on Trigonometry and Geometry. Beneath the shelf, containing these books, hung the fine old ballad of 'St. George for England' and a loyal ditty, then much in vogue, called 'True Protestant Gratitude, or, Britain's Thanksgiving ...
— Jack Sheppard - A Romance • William Harrison Ainsworth

... divided into four classes—topography, trigonometry, naval construction and drawing. The reasons for these you will see from my missions. My tutors were all experts in the Imperial Service. A Secret Service agent sent out to investigate and report on the condition, situation, and armament of a ...
— The Secrets of the German War Office • Dr. Armgaard Karl Graves

... given scale, as, for instance, the radius of the arc a is 5". After the drawing is in the condition shown at Fig. 93 we measure the distance on the line b between the points (centers) A B, and we thus by graphic means obtain a measure of the distance between A B. Now, by the use of trigonometry, we have the length of the line A f (radius of the arc a) and all the angles given, to find the length of f B, or A B, or both f B and A B. By adopting this policy we can verify the measurements ...
— Watch and Clock Escapements • Anonymous

... an institution of the American Missionary Association (Congregational), and is equal to many of our lesser colleges. Mathematics is carried through trigonometry and surveying. Latin and music are taught, also, as well as the ordinary studies of the common and high schools. Above one hundred and fifty pupils, from a dozen different States, were on the roll of the ...
— The American Missionary — Volume 48, No. 7, July, 1894 • Various

... Pythagoras, and understood that the square of the hypotenuse was equal to the squares of the other two sides of a right-angled triangle. He was ashamed, however, to fail in his undertaking, and persevered with great industry, until he had finished the first four books, acquired plane trigonometry, with the method of algebraical calculation, and made himself well acquainted with the principles of surveying. But no consideration could prevail upon him to extend his inquiries farther in this science; ...
— The Adventures of Peregrine Pickle, Volume I • Tobias Smollett

... Trigonometry. For the use of Colleges and Schools. With numerous Examples. Second edition, revised. Crown 8vo. ...
— The Works of William Shakespeare [Cambridge Edition] [9 vols.] - Introduction and Publisher's Advertising • William Shakespeare

... of algebra the subject is not at present organized in desirable ways. It is thought that, on the one hand, it should be knit up in far larger measure with practical matters, and on the other, it should be developed in connection with geometry and trigonometry. The technical high schools of Cleveland have adopted this form of organization. Their mathematics is probably greatly in advance of that ...
— What the Schools Teach and Might Teach • John Franklin Bobbitt

... the first book of Euclid is unanimously ascribed to him by the ancients. Dr. Wotton, in his Reflections upon Ancient and Modern Learning, says, "It is indeed a very noble proposition, the foundation of trigonometry, of universal and various use in those curious speculations ...
— Cicero's Tusculan Disputations - Also, Treatises On The Nature Of The Gods, And On The Commonwealth • Marcus Tullius Cicero

... admission to the class in trigonometry, the instructor doubtfully admitted her, as so many of the High School pupils had found the subject very hard and preferred a review of other mathematics. She entered the class, however, on trial, and made a term's record of 5 per cent, with an examination ...
— Twentieth Century Negro Literature - Or, A Cyclopedia of Thought on the Vital Topics Relating - to the American Negro • Various

... engineer; which appeared even in the planning and construction of the paper in his hand! The professional ability of the Master-general shone as conspicuously there, as it could upon our coasts. He had made it an argument of posts; and conducted his reasoning upon principles of trigonometry, as well as logic. There were certain detached data, like advanced works, to keep the enemy at a distance from the main object in debate. Strong provisions covered the flanks of his assertions. His very queries ...
— Memoirs of the Life of the Rt. Hon. Richard Brinsley Sheridan V1 • Thomas Moore

... has introduced it to the mind, according to one or the other of these laws. The entire routine of our memorized acquisitions, for example, is a consequence of nothing but the Law of Contiguity. The words of a poem, the formulas of trigonometry, the facts of history, the properties of material things, are all known to us as definite systems or groups of objects which cohere in an order fixed by innumerable iterations, and of which any one part reminds ...
— Talks To Teachers On Psychology; And To Students On Some Of Life's Ideals • William James

... breakfast-time. What was to be done? It was getting terribly lonesome. I felt like one who had been to a theatre and seen all the performances. Zoega had promised to be back by eight o'clock; but eight o'clock in Iceland, on the 21st of June, is a late hour of the day. A treatise on trigonometry might be written between sunrise and that unapproachable hour. The only thing I could do was to make some more tea and eat a preliminary breakfast. When that was done nothing remained but to go to work in ...
— The Land of Thor • J. Ross Browne

... (perpendicular) 216.1, 212; obliquity &c 217; angle of 45 degrees, miter; acute angle, obtuse angle, salient angle, reentering angle, spherical angle. angular measurement, angular elevation, angular distance, angular velocity; trigonometry, goniometry; altimetry^; clinometer, graphometer^, goniometer; theodolite; sextant, quadrant; dichotomy. triangle, trigon^, wedge; rectangle, square, lozenge, diamond; rhomb, rhombus; quadrangle, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... forthcoming as to just when or by whom such application was made. If this was an Arabic innovation, it was perhaps the most important one with which that nation is to be credited. Another mathematical improvement was the introduction into trigonometry of the sine—the half-chord of the double arc—instead of the chord of the arc itself which the Greek astronomers had employed. This improvement was due to the famous Albategnius, whose work in other fields we shall examine ...
— A History of Science, Volume 2(of 5) • Henry Smith Williams

... certainly owes a large debt to the Saracens. They preserved and transmitted much that was valuable in the science of the Greeks and the Persians (see p. 472). They improved trigonometry and algebra, and from India they borrowed the decimal system of notation and ...
— A General History for Colleges and High Schools • P. V. N. Myers

... persisting at work is evidenced in the longer time we can stick to work that really interests us than to tasks in which we have only a perfunctory or compulsory interest. The college student who is "too dead tired" to stay up studying trigonometry will, though in the same condition, stay up studying football strategy, rehearsing for a varsity show, or getting out the next morning's edition of his college paper. "If each man did the mental work for which he was fit, and which he enjoyed, men would work willingly much longer than they ...
— Human Traits and their Social Significance • Irwin Edman

... job on a paper, but 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 ...
— Letters from a Self-Made Merchant to His Son • George Horace Lorimer

... to meet her. She suggested I should meet her at Paddington, and then go to a lecture on psychometry with her, and tea afterwards. I hadn't the faintest notion what psychometry was, but I supposed it might be first cousin to trigonometry, and quite as dull. But she wanted me, so I went. ...
— Antony Gray,—Gardener • Leslie Moore

... bought half a dozen acres of land at the head of the creek, a mile above Merry-Garden, and built a whacking great house upon it, full of bathrooms and adorned upon the outside with statues in baked earth to represent Trigonometry and the other heathen gods. He had given the contract to an up-country builder, and brought the material (which was mainly brick and Bath-stone) from the Lord knows where; but it was delivered up the creek by barges. There were days, in the year before William John's ...
— Merry-Garden and Other Stories • Sir Arthur Thomas Quiller-Couch

... equinox it did so at a point about fifty seconds of arc earlier on the ecliptic, thus producing in 150 years an unmistakable change of a couple of degrees, or four times the sun's diameter. He also invented trigonometry. His star catalogue was due to the appearance of a new star which caused him to search for possible previous similar phenomena, and also to prepare for checking future ones. No advance was made in theoretical astronomy for 260 years, the interval ...
— Kepler • Walter W. Bryant

... appointment for a time in consequence of the rejection of a candidate, James Martineau, for the chair of logic, on account of his religious opinions; wrote treatises on almost every department of mathematics, on arithmetic, algebra, trigonometry, differential and integral calculus, the last pronounced to be "the most complete treatise on the subject ever produced in England"; wrote ...
— The Nuttall Encyclopaedia - Being a Concise and Comprehensive Dictionary of General Knowledge • Edited by Rev. James Wood

... History. Fortification. Navigation. Encamping. Decimal arithmetic. Intrenching. Trigonometry. Approaching. Dialing. Attacking. Gauging. ...
— An Essay Upon Projects • Daniel Defoe

... without style and disputed with the umpire; and the teaching was chiefly in the hands of a lout of nineteen, who wore ready-made clothes and taught despicably. The head-master and proprietor taught us arithmetic, algebra, and Euclid, and to the older boys even trigonometry, himself; he had a strong mathematical bias, and I think now that by the standard of a British public school he ...
— Tono Bungay • H. G. Wells



Words linked to "Trigonometry" :   math, trigonometric, spherical trigonometry, pure mathematics, mathematics, trigonometrician, trig



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