"Arithmetical" Quotes from Famous Books
 ... will see that if you know the value of any two of the constants you can find the value of the unknown constant by a simple arithmetical process. This relation between these three constants is known as Ohm's Law and as they are very important ...
— The Radio Amateur's Hand Book • A. Frederick Collins
... of the Scriptures and the actual historical character of the Mosaic story. Arnold's censorious criticism of the first volume of this work is entitled The Bishop and the Philosopher (Macmillan's Magazine, January, 1863). As an example of the Bishop's cheap "arithmetical demonstrations" he describes him as presenting the case of Leviticus as follows: "'If three priests have to eat 264 pigeons a day, how many must each priest eat?' That disposes of Leviticus." The essay ...
— Selections from the Prose Works of Matthew Arnold • Matthew Arnold
... the like, of which we have survivals in the later and even in the most highly developed languages. In various languages, too, we find relics of ancient modes of thought in the simplest words and expressions used for arithmetical calculations. Words and phrases for this purpose are frequently found to be derived from the words for hands, feet, fingers, and toes, just as clearly as in our own language some of our simplest measures of length are shown by their names to have been measures of parts of the human ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White
... existence of the productions of genius in literature and art; for, appreciating them by their own standard, they have miserably degraded the professors. Absorbed in the contemplation of material objects, and rejecting whatever does not enter into their own restricted notion of "utility," these cold arithmetical seers, with nothing but millions in their imagination; and whose choicest works of art are spinning-jennies, have valued the intellectual tasks of the library and the studio by "the demand and the supply." They have sunk these pursuits into the class of what ...
— Literary Character of Men of Genius - Drawn from Their Own Feelings and Confessions • Isaac D'Israeli
... high. Resolving, therefore, to follow the instructions which I pretended to receive indifferently. I went to the military school, and as soon as I arrived the conference began. M. d'Alembert had been requested to be present as an expert in arithmetical calculations. If M. du Vernai had been the only person to be consulted, this step would not have been necessary; but the council contained some obstinate heads who were unwilling to give in. The ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt
... whole night, and his fury, growing in a sort of vast, arithmetical progression, reached its highest limits in the morning. He dressed in haste, and as though carrying his cup full of wrath, and fearing to spill any over, fearing to lose with his wrath the energy necessary for the interview with his wife, he went ...
— Anna Karenina • Leo Tolstoy
... with Crood's approval and consent. They were never shown to me. In short, my position has been this, simply, I have had certain accounts placed before me by the Town Trustees with the curt intimation that my sole duty was to see that the merely arithmetical features were correct and to sign ...
— In the Mayor's Parlour • J. S. (Joseph Smith) Fletcher
... Carbon 45 Hydrogen 6 Oxygen 49 —- 100 I give you the calculation in round numbers, so as not to burden your memory with fractions; and I will do the same with the other sums I shall have to go through to-day, this being, let me tell you, an arithmetical day. Besides, I could scarcely take upon myself to warrant the absolute correctness of those very precise fractions people sometimes go into. Even our learned friends squabble now and then as to which is right or wrong over the 100th part of a grain, more or ...
— The History of a Mouthful of Bread - And its effect on the organization of men and animals • Jean Mace
... some subtlety of reasoning. Indeed I doubt whether many of the pretentious sciolists, who insist so much on young children giving the rationale of everything, have themselves ever yet made an ultimate analysis of the first step in arithmetical notation. Many of them would open their eyes were you to tell them, for instance, that the number of fingers on your two hands may be just as correctly expressed by the figures 11, 12, 13, 14, or 15, as by the figures 10,—a truism perfectly ...
— In the School-Room - Chapters in the Philosophy of Education • John S. Hart
... of the forms of the Swiss and Italian lakes, and of the shores of Italy, you will think better of these. The Highlands are remarkable for their surprises, rather than for their grandeur, as we shall presently see. As to the latter, it is an affair of feet and inches, and is capable of arithmetical demonstration. We have often been on lakes, beneath beetling cliffs of from three to six thousand feet in height; whereas, here, the greatest elevation is materially less than two. But, Sir George Templemore, ...
— Home as Found • James Fenimore Cooper
... argument in favour of a keen competition for the means of existence continually going on within every animal species is—to use Professor Geddes' expression—the "arithmetical argument" borrowed ...
— Mutual Aid • P. Kropotkin
... together on the hearthrug, and for some time there was no sound but the creasing of bills and the jingling of guineas, broken occasionally by the exulting exclamations of Rowley. The arithmetical operation on which we were embarked took long, and it might have been tedious to others; not to me nor ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 20 (of 25) • Robert Louis Stevenson
... strongly the use of oxen in place of horses for all farm-labor; they cost less, keep for less, and sell for more; and he enters into arithmetical calculations to establish his propositions. He instances Mr. Burke, who ploughs with four oxen at Beaconsfield. How drolly it sounds to hear the author of "Letters on a Regicide Peace" cited as an authority in practical farming! He still further urges his ox-working scheme, ...
— The Atlantic Monthly, Vol. 13, No. 79, May, 1864 • Various
... whether the answer thus forced upon us is one which, even on such high authority, we are bound to accept. Before, at least, concurring in a solution of the question which, thus virtually bringing it within the limits of a simple arithmetical calculation, would summarily dispose of so many millions of the human race, we may remember that some things have been taught as possible which men, and even saints, may deem impossible; and, before attempting ...
— Diary of a Pedestrian in Cashmere and Thibet • by William Henry Knight
... unnecessary for an individual to pause, in order to estimate a sum like that abovementioned. Many, indeed most persons who are familiar with figures, might compute these numbers while reading, and without the slightest pause; but it certainly requires some practice. And the most important use of arithmetical studies (except as a discipline to the mind) is to enable us to reckon without slates and pencils. He has but a miserable knowledge of arithmetic, who is no arithmetician without a pen or pencil in his hand. These are but the ladders upon which he should ascend to the science, and ...
— The Young Man's Guide • William A. Alcott
... the case of idiots, whom Prignitz, who had lived many years in Turky, supposes under the more immediate tutelage of Heaven)—it so happens, and ever must, says Prignitz, that the excellency of the nose is in a direct arithmetical proportion to the excellency of ...
— The Life and Opinions of Tristram Shandy, Gentleman • Laurence Sterne
... hundred thousand men. He implies that monotheism was unknown before Abraham, and that the name Jehovah was not known to Abraham, Isaac, or Jacob. He cannot tell how the Israelites were supported in their journeyings; and ascribes the priesthood to an Egyptian origin. If we only admit the above arithmetical errors, and give up the Mosaic authorship of the Pentateuch, he thinks we should remove at one stroke some of the main difficulties of the ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst
... culminating point, in the Market-place of Constance; red as a flamingo; doing one act of importance, though unconsciously and against his will.—I subjoin here, for refreshment of the reader's memory, a Synopsis, or bare arithmetical List, of those Intercalary Non-Hapsburg Kaisers, which, now that its original small duty is done, may as well be printed ...
— History Of Friedrich II. of Prussia, Vol, II. (of XXI.) - Frederick The Great—Of Brandenburg And The Hohenzollerns—928-1417 • Thomas Carlyle
... carried away by the French from Heidelberg in 1656, the loss of which had ever since been regarded as a national calamity in Germany. For L6000 in cash and this precious volume, he handed over the 166 Libri and Barrois MSS. to the Bibliotheque Nationale. By a simple arithmetical process, we can conclude that L18,000 was the net cost to the German Exchequer of a single volume of old German ballads—the highest price ever paid for a book.' The stolen manuscripts which were not required to replace those taken from the French libraries, were purchased ...
— English Book Collectors • William Younger Fletcher
... number 5, gradually now by means of the material image my hand, to the number 7, and by this process, I at length see the number 12 arise. That 7 should be added to 5, I have certainly cogitated in my conception of a sum 7 5, but not that this sum was equal to 12. Arithmetical propositions are therefore always synthetical, of which we may become more clearly convinced by trying large numbers. For it will thus become quite evident that, turn and twist our conceptions as we may, it is impossible, ...
— The Critique of Pure Reason • Immanuel Kant
... I am a classical scholar, not an arithmetical one. Is three fifths more than half ...
— Major Barbara • George Bernard Shaw
... not be conducted without a fair proficiency in the science of numbers. It would be reasonable to conclude, from the admitted character of the Chaldaeans as astronomers, that they were familiar with most arithmetical processes, even had we no evidence upon the subject. Evidence, however, to a certain extent, does exist. On a tablet found at Senkareh, and belonging probably to an early period, a table of squares is given, correctly calculated from one to sixty. The system of notation, which is here used, is ...
— The Seven Great Monarchies Of The Ancient Eastern World, Vol 1. (of 7): Chaldaea • George Rawlinson
... want of capacity that so many children are deficient in arithmetical skill; and it is absurd to say, "such a child has no genius for arithmetic. Such a child cannot be made to comprehend any thing about numbers." These assertions prove nothing, but that the persons who make them, are ignorant of the art of teaching. A child's seeming stupidity in learning arithmetic, ...
— Practical Education, Volume II • Maria Edgeworth
... intensity of his recollection seemed to restore him the gift of sight, and place every thing anew before his eyes. Sometimes he repeated verses of poetry, which he did not know to be in his memory, until he found them there, just at the time of need. Sometimes he attempted to solve arithmetical questions, which had ...
— True Stories from History and Biography • Nathaniel Hawthorne
... Jack had also an arithmetical puzzle which he had learned from his father, and which many of the readers of this ...
— The Hoosier School-boy • Edward Eggleston
... you come to close quarters with this subject, when you come to measure and test the respective relations of intelligence and labor and property in all their myriad and complex forms, and when you come to represent those relations in arithmetical results, you are undertaking an operation of which I should say it was beyond the power of man to conduct it with satisfaction, but which, at any rate, is an operation to which you ought not constantly ...
— The Grand Old Man • Richard B. Cook
... must have noticed the mystic power they attach to certain numbers, and how these numbers became the measures and formative quantities, as it were, of traditions and ceremonies, and had a symbolical meaning nowise connected with their arithmetical value. For instance, in many eastern religions, that of the Jews among the rest, seven was the most sacred number, and after it, four and three. The most cursory reader must have observed in how many connections ...
— The Myths of the New World - A Treatise on the Symbolism and Mythology of the Red Race of America • Daniel G. Brinton
... believed in a service which can be rendered only without money and without price. Spiritual service, be it of priest or teacher, was not to be repaid in gold or silver, not because it was valueless but because it was invaluable. Here the non-arithmetical honor-instinct of Bushido taught a truer lesson than modern Political Economy; for wages and salaries can be paid only for services whose results are definite, tangible, and measurable, whereas the best service done in ...
— Bushido, the Soul of Japan • Inazo Nitobe
... indeed it is superfluous. A gentleman of two thousand a year, who meets another of the same fortune, fights with equal arms; but if to one of the candidates you add a thousand a-year in places for himself, and a power of giving away as much among others, one must, or there is no truth in arithmetical demonstration, ruin his adversary, if he is to meet him and to fight with him every third year. It will be said, I do not allow for the operation of character; but I do; and I know it will have its weight in most elections; perhaps it may be decisive ...
— Selections from the Speeches and Writings of Edmund Burke. • Edmund Burke
... foundation of all others; for it is based on a physical principle universally applicable. Although the volume increases with the temperature, it does not increase in proportion to the degrees of any ordinary scale, but much more slowly. Now, if to each of the terms of an arithmetical series we add the same number, the new series so formed increases or decreases more slowly than the original; and it was discovered that, by adding 461 to the degrees of Fahrenheit's scale, the new scale so formed represented exactly the increment ...
— Scientific American Supplement, No. 508, September 26, 1885 • Various
... witness; Herr Weigel, I say, communicated to his friends a certain demonstration of the existence of God, which indeed amounted to this idea of continued creation. As he was wont to draw parallels between reckoning and reasoning—witness his Arithmetical Ethics (rechenschaftliche Sittenlehre)—he said that the foundation of the demonstration was this beginning of the Pythagorean Table, once one is one. These repeated unities were the moments of the existence of things, each one of them depending upon God, who resuscitates, as it were, all ...
— Theodicy - Essays on the Goodness of God, the Freedom of Man and the Origin of Evil • G. W. Leibniz
... the animal. The law of production may be arithmetically expressed as follows: The number of eggs produced at each reproductive period varies in a geometrical series, while the length of lobsters producing these eggs varies in an arithmetical series. According to this law an 8-inch lobster produces 5,000 eggs, a lobster 10 inches long 10,000, a 12-inch lobster 20,000. This high rate of production is not maintained beyond the length of 14 to 16 inches. The largest number of eggs recorded ...
— The Lobster Fishery of Maine - Bulletin of the United States Fish Commission, Vol. 19, Pages 241-265, 1899 • John N. Cobb
... Is our monarchy to be annihilated, with all the laws, all the tribunals, and all the ancient corporations of the kingdom? Is every landmark of the country to be done away in favor of a geometrical and arithmetical constitution? Is the House of Lords to be voted useless? Is Episcopacy to be abolished? Are the Church lands to be sold to Jews and jobbers, or given to bribe new-invented municipal republics into a participation in sacrilege? Are all the taxes to be voted grievances, and the revenue reduced ...
— The Works of the Right Honourable Edmund Burke, Vol. III. (of 12) • Edmund Burke
... in miracles then it is plain sailing from Genesis to the end of Deuteronomy, Both Ezra and Jeremiah are said to have written the last book of the Pentateuch, and some, question whether Moses was the author of either. Bishop Colenso also questions the arithmetical calculations of the historians in regard to the conquest of the Midianites, as described in ...
— The Woman's Bible. • Elizabeth Cady Stanton
... me now question thee.' 'I am sleepy,' said he, 'but ask on.' 'What subject shall I choose?' I said. 'Any subject,' he replied; 'of all knowledge I know the half.'" Joseph asks him astronomical, musical, logical, arithmetical questions; to all of which Enan replies, "I do not know." "But," protests Joseph, "how couldst thou assert that thou knewest half of every subject, when it is clear thou knowest nothing?" "Exactly," says Enan, "for Aristotle ...
— The Book of Delight and Other Papers • Israel Abrahams
... king, 'the sovereign is a being more subtle than that. And less arithmetical. Neither my family nor your emancipated people. It is something that floats about us, and above us, and through us. It is that common impersonal will and sense of necessity of which Science is the best understood and most typical ...
— The World Set Free • Herbert George Wells
... husbands are free to take these trifles for arithmetical estimates, or arithmetical estimates for trifles. The illusions of life are the best things in life; that which is most respectable in life is our futile credulity. Do there not exist many people whose principles are merely prejudices, ...
— The Physiology of Marriage, Part I. • Honore de Balzac
... propositions might have incidental lights and shades in people's lives to make them plausible and precious; but they could not be maintained by one who had clarified his intent in naming and adding. For then the arithmetical relations would be abstracted, and their incidental associates would drop out of the account. So a man who is in pursuit of things for the good that is in them must recognise and (if reason avails) must ...
— The Life of Reason • George Santayana
... many fine-weather diversions to beguile the time. There was a single chess-board and a single pack of cards. Sometimes as many as twenty of us would be playing dominoes for love. Feats of dexterity, puzzles for the intelligence, some arithmetical, some of the same order as the old problem of the fox and goose and cabbage, were always welcome; and the latter, I observed, more popular as well as more conspicuously well done than the former. We had a regular daily competition to guess the vessel's progress; and twelve o'clock, ...
— Essays of Travel • Robert Louis Stevenson
... the succession of time and events, to fix the epochs at which the eras respectively commenced, to ascertain the form and the initial day of the year made use of, and to establish their correspondence with the years of the Christian era. These elements will enable us to convert, by a simple arithmetical operation, any historical date, of which the chronological characters are given according to any era whatever, into the corresponding date in ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3 - "Chitral" to "Cincinnati" • Various
... fiscal and arithmetical talents of my Chancellor of the Exchequer have, by the most rigid economy, succeeded in reducing the revenue very considerably below the actual ...
— Punch, or the London Charivari, Volume 1, Complete • Various
... employed himself, I fancy, for the remainder of the afternoon in making mental calculations of how much poorer a man Mrs. Elmsdale's memory, and the Uninhabited House had left him; and, upon the whole, the arithmetical problem could not have ...
— The Uninhabited House • Mrs. J. H. Riddell
... cogitating in his mind his ways and means of paying certain arrears of rent, for which his landlord had become rather pressing. Mr. Gamfield's most sanguine estimate of his finances could not raise them within full five pounds of the desired amount; and, in a species of arithmetical desperation, he was alternately cudgelling his brains and his donkey, when passing the workhouse, his eyes encountered the bill ...
— Oliver Twist • Charles Dickens
... eccentric. She had troublesome pets and pastimes—he knew them all—was well stricken in years, and had a will of her own—that was all. But, then, on the other side was the money—a great and agreeable arithmetical fact not to be shaken—and she could be well-bred when she liked, and a self-possessed, dignified lady, who could sail about a room, and courtesy, and manage her fan, and lead the conversation, and do the honours, as Mrs. Cluffe, with a certain air of haut ton, and in an ...
— The House by the Church-Yard • J. Sheridan Le Fanu
... this example has already been submitted showed wide difference in arithmetical skill. One of them took but a few seconds over two minutes, in the best of six trials, to add by the usual figures, and set down the sum, but one figure in all the six additions being wrong; another added once in ten minutes fifty-seven seconds, ...
— Scientific American Supplement, No. 421, January 26, 1884 • Various
... (men) is distributed in neither premise, yet the indisputable conclusion is a logical proposition. The premises, however, are really arithmetical; for 'most' means 'more than half,' or ...
— Logic - Deductive and Inductive • Carveth Read
... breathe again. When they had seen those two portentous heroes go in, the prospect of their ever going out had seemed fearfully remote. But now, if one man was got rid of for only three runs, why should not ten men go for only thirty? At which arithmetical discovery the school immediately leapt from the depths of despondency to the heights of confidence, and considered the match as good as won ...
— The Willoughby Captains • Talbot Baines Reed
... high-minded than ourselves, the gossip will have had greater success. Not, of course, meaning any harm, they will inquire of someone else if what So-and-so hinted of So-and-so can possibly be true. And so it will go on ad infinitum. The formula is simple, and it is only a matter of arithmetical progression for a private lie, once started on its journey, to become a public scandal, with a reputation gone, and ...
— Vanishing Roads and Other Essays • Richard Le Gallienne
... contented with the acquisition of knowledge. Once found, he had but little care to distribute the results of his investigations; at most he sought to use them for purposes of practical utility.[237] Even in childhood he is said to have perplexed his teachers by propounding arithmetical problems. In his maturity he carried anatomy further than Delia Torre; he invented machinery for water-mills and aqueducts; he devised engines of war, discovered the secret of conical rifle-bullets, adapted paddle-wheels to boats, projected new systems of siege artillery, ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... his brow; looked downwards, as if he were mentally engaged in some arithmetical calculation; then upwards, as if the total would not come at his call; then at Solomon Daisy, from his eyebrow to his shoe-buckle; then very slowly round the bar. And then a great, round, leaden-looking, and not at all transparent tear, came rolling ...
— Barnaby Rudge • Charles Dickens
... painful possibility, I will not (as I might) appeal indignantly to my other writings as a proof that I am incapable of such a deed: I will not (as I might) point to the strong moral purpose of this poem itself, to the arithmetical principles so cautiously inculcated in it, or to its noble teachings in Natural History—I will take the more prosaic course of ...
— The Hunting of the Snark - an Agony, in Eight Fits • Lewis Carroll
... not only arithmetical qualities, but also all grandeur, all proportion. By it we necessarily arrive at the discovery of the Principle or First Cause of things, called at the ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike
... business towards the close of his useful and admirable life, he spoke to his friends of occupying himself with "ingenious trifles," and of turning "some of his idle thoughts" upon the invention of an arithmetical machine and a machine for copying sculpture. These and other useful works occupied his attention ...
— James Nasmyth's Autobiography • James Nasmyth
... Kepler. This dog possessed many rare gifts, and amongst these was one which he was always ready to exercise for the entertainment of visitors. At the close of luncheon or dinner Kepler used to march into the room, and set himself down at his master's feet. Dr. Huggins then asked him a series of arithmetical questions, which the dog invariably solved without a mistake. Square roots were extracted off-hand with the utmost readiness and promptness. If asked what was the square root of nine, Kepler replied by three barks; ...
— Harper's Young People, October 5, 1880 - An Illustrated Weekly • Various
... houses are needful, and sometimes war. Nor is it desirable that the human race should be multiplied to its utmost capacity. It is enough here to mention without discussing the teaching of Malthus, how population presses on the means of subsistence, the latter increasing in an arithmetical, the former in a geometrical ratio. Without going the whole way with Malthus, modern economical writers are commonly a little Malthusian, and shrink from giving to all and each of their species the word to ...
— Moral Philosophy • Joseph Rickaby, S. J.
... 'enough of that. Altro, old boy, you have seen the figures, and you know how they come out.' Mr Baptist, who had not the slightest arithmetical power of compensating himself in this way, nodded, with a fine display ...
— Little Dorrit • Charles Dickens
... islands learns so soon to recognise,—the laugh of terror. Doubtless these half-Christian folk were shocked, these half-heathen folk alarmed. Chench or Taburik thus invoked, we put our questions; the witch knotted the leaves, here a leaf and there a leaf, plainly on some arithmetical system; studied the result with great apparent contention of mind; and gave the answers. Sidney Colvin was in robust health and gone a journey; and we should have a fair wind upon the morrow: that was the result of our consultation, for which we paid a dollar. The next day dawned ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 18 (of 25) • Robert Louis Stevenson
... 1599, bound up with an early edition of Venus and Adonis, a former owner represents with perfect justice, that although he gave three-halfpence for the two volumes in one, a corner of a leaf was defective; and there has been furthermore a profound arithmetical computation that if this gentleman and his heirs or assigns had invested the amount in good securities, the capital at this moment would have reached the vicinity of L1000. In a copy of Stow's Survey, 1633, ...
— The Book-Collector • William Carew Hazlitt
... hands a leg of mutton to the cook over the airey railings, the cook hands him back six and nine—or whatever it is—and takes his bill and receipt. I eat my dinners now, with the blessed conviction that they won't all disagree with me in an arithmetical point of view at the end of the year. What are you stopping and scratching your head ...
— Hide and Seek • Wilkie Collins
... between the two extremes of the envoy. Malthus again, in his population-book, contends for a mathematic difference between animal and vegetable life, in respect to the law of increase, as though the first increased by geometrical ratios, the last by arithmetical! No proposition more worthy of laughter; since both, when permitted to expand, increase by geometrical ratios, and the latter by much higher ratios. Whereas, Malthus persuaded himself of his crotchet simply by refusing the requisite condition in the vegetable case, and granting it in the ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
... speaking, fit—for nothing. They cannot move us thirty miles without getting half of us left about, without losing touch with food and shelter, and starving us for thirty-six hours or so in the process, and they cannot count beyond the fingers of one hand, not having learnt to use the nose for arithmetical operations.... I conclude this war is going to be a sort of Battle of Inkerman on a large scale. We chaps in the ranks will have to do the ...
— Mr. Britling Sees It Through • H. G. Wells
... importance, in the eyes of historians, from the time when it became a conquered province; and it declined into absolute insignificance after the conquest of so many other provinces had degraded Hellas into an arithmetical unit, standing amongst a total amount of figures, so vast and so much more dazzling to the ordinary mind. Hence it was that in ancient times no complete history of Greece, through all her phases and stages, was ever attempted. The greatness of her later revolutions, simply ...
— Theological Essays and Other Papers v1 • Thomas de Quincey
... His father, who bore the same Christian name, was a native of Culross, where he was originally employed in superintending the coal works in that vicinity, under the late Earl of Dundonald. He subsequently became agent for the collieries of John Francis Erskine, afterwards Earl of Mar. A book of arithmetical tables and calculations from his pen, entitled, "The Corn-dealer's Assistant," was long recognised as an almost ...
— The Modern Scottish Minstrel, Volumes I-VI. - The Songs of Scotland of the Past Half Century • Various
... Browne. I can't follow him a bit, and yet, somehow, he drags me along with him. All that about the quincunx is most baffling. He seems to begin with the arrangement of a garden, and then to lead one on through a maze of arithmetical progressions till one finds oneself landed in a mystical philosophy of life and creation, and I don't know what all. If I could only understand him better I should ...
— Austin and His Friends • Frederic H. Balfour
... seemingly formal and arithmetical—division, will be found, as we use it, very singularly emphasized by signs of most notable change in the knowledge, disciplines, and morals of ...
— Our Fathers Have Told Us - Part I. The Bible of Amiens • John Ruskin
... word, or by the appropriation of one of the two or more words, which had before been used promiscuously. When this distinction has been so naturalized and of such general currency that the language does as it were think for us—(like the sliding rule which is the mechanic's safe substitute for arithmetical knowledge)—we then say, that it is evident to common sense. Common sense, therefore, differs in different ages. What was born and christened in the Schools passes by degrees into the world at large, and becomes the ...
— Biographia Literaria • Samuel Taylor Coleridge
... 275 Most arithmetical: and thence you infer Perhaps the assembling of a parliament. Now, if a man should call his dearest enemies T0 sit in licensed judgement on his life, His Majesty might wisely take that course. 280 [ASIDE TO COTTINGTON.] ...
— The Complete Poetical Works of Percy Bysshe Shelley Volume I • Percy Bysshe Shelley
... remained in the inner shrine of her soul for years, shrinking from the matter-of-fact eye of Fairfield; yet this big, ferocious looking Cousin Will seemed to find them both sane and interesting, and as her self-respect went up in the arithmetical, her admiration for Cousin Will went up in the geometrical ratio. He frankly admitted weaknesses and fears that the males of Fairfield ...
— Red Saunders • Henry Wallace Phillips
... policy was reduced to a simple arithmetical question, which they discussed in the light of their industrial or commercial interests. As soon as they had learned from a short experience that a certain Pharaoh had at his disposal armies against which they could offer no serious opposition, they at once surrendered ...
— History Of Egypt, Chaldaea, Syria, Babylonia, and Assyria, Volume 4 (of 12) • G. Maspero
... pounds to the square inch at the bottom, water becomes steam, if at all, only by great heat. Every engineer knows that the pressure exerted by steam increases by great geometrical ratios as the heat increases by small arithmetical ratios. Steam made by two hundred and twelve degrees exerts a pressure, as we have ...
— Among the Forces • Henry White Warren
... between moral ideas and ideas about morality. "Moral ideas" are ideas of any sort whatsoever which take effect in conduct and improve it, make it better than it otherwise would be. Similarly, one may say, immoral ideas are ideas of whatever sort (whether arithmetical or geographical or physiological) which show themselves in making behavior worse than it would otherwise be; and non-moral ideas, one may say, are such ideas and pieces of information as leave conduct uninfluenced for either the better or the worse. Now ...
— Moral Principles in Education • John Dewey
... with various arithmetical questions, which were answered instantly, and then he made a sudden leap and asked: "What is ...
— The Wonder • J. D. Beresford
... would have loved to dwell on all I had seen that was rich and rare, or have been placing, perhaps in order, the various additions with which I had supplied my stock of information—and now, like a stupid boy blundering over an arithmetical question half obliterated on his slate, I go stumbling on upon the audit of pounds, shillings, and pence. Why, the increase of charge I complain of must continue so long as the value of the thing represented by cash continues to rise, or as the value of the thing representing ...
— The Journal of Sir Walter Scott - From the Original Manuscript at Abbotsford • Walter Scott
... plans of fields which were for the most part rectangular, also to take the elevation of land by means of two laths and a square. In this department also they explained the art of writing numbers no less involved in hieroglyphic or demotic characters. But pure arithmetical problems formed a higher course, and were ...
— The Pharaoh and the Priest - An Historical Novel of Ancient Egypt • Boleslaw Prus
... eyebrows, puckering of brows and hesitancy the canteen proprietor would complete a mental arithmetical sum in currency exchange. At last he would reluctantly quote a figure, and as a rule it was about fifty per cent. below the face value of the coin. Thus the soldier's shilling would only be valued at ...
— Sixteen Months in Four German Prisons - Wesel, Sennelager, Klingelputz, Ruhleben • Henry Charles Mahoney
... attempt the solution of the problem. His first process was purely mechanical, and he was so far convinced he had made the discovery that he took to educating himself, and became an expert arithmetician, and then found that arithmetical results agreed with his mechanical experiments. He appears to have eked out a bare existence for many years by teaching arithmetic, all the time struggling to get a hearing from some of the learned societies, but without success. In the year 1855 he found his way to Paris, ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... should travel over a certain route without touching the ground, swinging themselves from branch to branch like so many monkeys, and as girls were plainly disqualified for this feat an alternative test was invented which should score equally to their credit. Hopping races, races complicated by arithmetical and other such baffling problems, were also devised, and at the last moment Darsie came forward with a ...
— A College Girl • Mrs. George de Horne Vaizey
... obsolete popguns, elastic airbladders, games of hazard, catapults. They comprised astronomical kaleidoscopes exhibiting the twelve constellations of the zodiac from Aries to Pisces, miniature mechanical orreries, arithmetical gelatine lozenges, geometrical to correspond with zoological biscuits, globemap playing ...
— Ulysses • James Joyce
... an old telephone were scattered about on the teacher's desk. A model of a piggery stood on a shelf, done in cardboard. Instead of the usual collection of text-books in the desk, there were hectograph copies of exercises, reading lessons, arithmetical tables and essays on various matters relating to agriculture, all of which were accounted for by two or three hand-made hectographs—a very fair sort of printing plant—lying on a table. The members of the school board were there, looking on these evidences of innovation ...
— The Brown Mouse • Herbert Quick
... in sight of Jerusalem. The city and the temple suddenly meet his view, as he reaches the height, and he is deeply moved. Any reflective mind might well have been stirred by the thought of the masses of men gathered there. Nothing is so futile as an arithmetical numbering of people, for after a certain point figures paralyse the imagination, and after that they tell the mind little or nothing. But here was actually assembled the Jewish people, coming in swarms from all the world, for the ...
— The Jesus of History • T. R. Glover
... wouldst thou plant for Eternity, then plant into the deep infinite faculties of man, his Fantasy and Heart. Wouldst thou plant for Year and Day, then plant into his shallow superficial faculties, his self-love and arithmetical understanding, what ...
— The Art of the Story-Teller • Marie L. Shedlock
... true of economic science? Within certain limits, it is apparently true: Ricardo used mathematical formulae, though he kept to arithmetic, instead of algebra. When Malthus spoke of arithmetical and geometrical ratios, the statement, true or false, was, of course, capable of precise numerical expression, so soon as the ratios were assigned. So there was the famous formula proving a relation between the number of quarters of corn produced by a given harvest, and the number ...
— Social Rights and Duties, Volume I (of 2) - Addresses to Ethical Societies • Sir Leslie Stephen
... the single plant will have produced fifty more of its kind; by the end of the second year these will have increased to 2,500; and so on, in succeeding years, you get beyond even trillions; and I am not at all sure that I could tell you what the proper arithmetical denomination of the total number really is; but, at any rate, you will understand the meaning of all those noughts. Then you see that, at the bottom, I have taken the 51,000,000 of square miles, constituting the surface of the dry land; and as the number ...
— Lectures and Essays • T.H. Huxley
... I was no worse than others of my age. I know I was very fond of my mother, for she was always so sweet, and gentle, and tender with me, making the most tedious lessons pleasant by the way she explained them, and helping me when I was worried over some arithmetical question about how many men would do so much work in such and such a number of days if so many men would do the same work in another number ...
— Brownsmith's Boy - A Romance in a Garden • George Manville Fenn
... makes our great music great is the very thing which confuses these people; unfortunately, this cannot be expressed in words and concepts, nor in arithmetical figures. Yet, what is it other than music? and music only! What, then, can be the reason of this barrenness, dryness, coldness, this complete inability to feel the influence of true music, and, in its presence, to forget any ...
— On Conducting (Ueber das Dirigiren): - A Treatise on Style in the Execution of Classical Music • Richard Wagner (translated by Edward Dannreuther)
... relation exists between the atomic weights of chemically similar elements. To illustrate, lithium, sodium, and potassium resemble each other very closely, and the atomic weight of sodium is almost exactly an arithmetical mean between those of the other two: (7.03 39.15)/2 23.09. In many chemical and physical properties sodium is midway between ...
— An Elementary Study of Chemistry • William McPherson
... that her arithmetical victory over a too-sordid presentation of the parental claim was a final one, ...
— The Forerunner, Volume 1 (1909-1910) • Charlotte Perkins Gilman
... need of food is vital and permanent. The desire for food, immediate and prospective, is the first motive of all animal activity, but the amount of food available in the world is limited, and the possible increase of food is estimated by Malthus at an arithmetical ratio. ...
— The Fertility of the Unfit • William Allan Chapple
... to it. As it was, it was seldom resorted to, except for the purpose of obtaining his opinion and counsel on all the serious concerns of his neighbours. He prescribed for the sick, and often provided the medicine they required—expounded the law—adjusted disputes—made all their little arithmetical calculations—gave them moral instruction—and, when he could not afford them relief in their difficulties, he taught them patience, and gave them consolation. He, in short, united, for the simple people by whom he was surrounded, ...
— A Voyage to the Moon • George Tucker
... The arithmetical half of mathematics, which had been gradually growing into algebra, and had decidedly established itself as such in the Ad logisticen speciosam notae priores of Franois Vieta (1540-1603), supplied to some ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various
... nimble, as well as massive, mind; nor need I say more than one word about the remarkable combination of qualities so generally held and seen to be incompatible, which put into one personality a genius for dry arithmetical figures and a genius for enthusiasm and sympathy with all the oppressed. All these things have been said far better than I can say them, and I ...
— Expositions of Holy Scripture - Genesis, Exodus, Leviticus and Numbers • Alexander Maclaren
... are many differences, notably because of the especial development of that peculiar characteristic of the West, mathematical astronomy, conditioned by the almost accidental conflux of Babylonian arithmetical methods with those of Greek geometry. However, the lines are surprisingly similar, with the exception only of the crucial invention of the escapement, a feature which seems to be replaced by the influx of ideas connected ...
— On the Origin of Clockwork, Perpetual Motion Devices, and the Compass • Derek J. de Solla Price
... representing the square, is in the highest degree perfect; and TEN, as it contains the sum of the first three prime numbers (23510. ONE is not counted, as being rather the source of number than a number itself) comprehends all musical and arithmetical proportions, and denotes the ...
— TITLE • AUTHOR
... the sowing, however, that is popularly put first in our agricultural and educational theory. "A sower went forth to sow." A teacher went forth to teach, that is, to scatter information, facts:—arithmetical, historical, geographical, linguistic facts. But the emphasis of the greatest agricultural parable in our literature was after all not on the sowing but on the soil, on that upon which or into which the seed fell,—or as it might be better ...
— Modern American Prose Selections • Various
... between men—between the Greek and the barbarian, the freeman and the slave, the gentleman and the artisan—regarding them as natural and fundamental, not as the casual product of circumstances. The "equality" which they sought in a well-ordered state was proportional not arithmetical—the attribution to each of his peculiar right, not of equal rights to all. Some were born to rule, others to serve; some to be ends, others to be means; and the problem to be solved was not how to obliterate ...
— The Greek View of Life • Goldsworthy Lowes Dickinson
... They consist of thirteen books. The first four are on plane geometry; the fifth is on the theory of proportion, and applies to magnitude in general; the seventh, eighth, and ninth are on arithmetic; the tenth on the arithmetical characteristics of the division of a straight line; the eleventh and twelfth on the elements of solid geometry; the thirteenth on the regular solids. These "Elements" soon became the universal study of geometers throughout ...
— Beacon Lights of History, Volume III • John Lord
... the extent of valleys and lakes, with regular forts, mounds, and enclosures, with companies and bodies of men, with railroads, cities, and agricultural products, and with many other topics which suggest excellent practical problems in arithmetic for these grades. All such careful arithmetical computations add clearness and definiteness to historical and geographical ideas. The natural sciences have been so little systematically taught in our common schools, that we are scarcely able to realize what ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... rods back in their places, he must first take away the 4 and put it back under the 5, and then take away in their turn the 3, the 2, the 1. By this action he has put the rods back again in their right gradation, but he has also performed a series of arithmetical subtractions, 10 - 4, 10 - 3, 10 - ...
— Dr. Montessori's Own Handbook • Maria Montessori
... the experience of centuries and all the mathematical formulae that can be deduced therefrom night is bound to be followed by day. We have been whipped by the rebels, but it follows with arithmetical certainty that if we keep on fighting long enough we will whip them in time. Let x equal time and y equal opportunity. Then when x and y come together we shall have x plus y which will equal success. Does my logic seem cogent to you, Mr. ...
— The Guns of Shiloh • Joseph A. Altsheler
... financiers are, for arithmetical obliquity about money is caused by having too much or too little of it, and the people who lose to both sides are generally the comparatively honest ones who have enough. It certainly did not occur to Logotheti that he had tried to do Margaret Donne out of four thousand pounds; ...
— Fair Margaret - A Portrait • Francis Marion Crawford
... workers, it is neither very large nor very small, but moderate. In a general way the birth rate varies inversely as the earning power of the classes in the case, though the amounts of the variations do not correspond to each other with any arithmetical exactness. If one class earns half as much per capita as another, it does not follow that the families belonging to this class will have twice as many children. They do, on the average, have more children. There is, ...
— Essentials of Economic Theory - As Applied to Modern Problems of Industry and Public Policy • John Bates Clark
... conditions are only partially complied with, the result will only be a half finished product or a doubtful alloy, a few rough drafts of the sciences, the rudiments of pedagogy as with Rousseau, of political economy with Quesnay, Smith, and Turgot, of linguistics with Des Brosses, and of arithmetical morals and criminal legislation with Bentham. Finally, if none of these conditions are complied with, the same efforts will, in the hands of philosophical amateurs and oratorical charlatans, undoubtedly only produce mischievous compounds ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine
... progress the more we tend to progress. We advance not in arithmetical but in geometrical progression. We draw compound interest on the whole capital of knowledge and virtue which has been accumulated since the dawning of time. Some eighty thousand years are supposed to have existed between paleolithic and neolithic man. Yet in all that time he only learned to grind ...
— The Stark Munro Letters • J. Stark Munro
... had attended the village school, and possessed considerable arithmetical ability. Taking up a shingle which lay upon his work-bench, and producing a piece of chalk, with a feeling of conscious pride he made ...
— The Luck of Roaring Camp and Other Tales • Bret Harte
... right, that to-morrow our nature would so change as to make two and two become five. This possibility seems never to have occurred to him, yet it is one which utterly destroys the certainty and universality which he is anxious to vindicate for arithmetical propositions. It is true that this possibility, formally, is inconsistent with the Kantian view that time itself is a form imposed by the subject upon phenomena, so that our real Self is not in time and has no to-morrow. But he will still have to suppose that the time-order of phenomena ...
— The Problems of Philosophy • Bertrand Russell
... Bible is the infallible revelation of God to man, and that its statements concerning God and man are to be unhesitatingly accepted as statements made upon the authority of God. They turn to its pages, and they find historical errors, arithmetical mistakes, scientific blunders (or, rather, blunders most unscientific), inconsistencies, and manifold contradictions; and, what is far worse, they find that the most horrible crimes are committed by men who calmly plead in justification of their terrible ...
— God and my Neighbour • Robert Blatchford
... tell you that I was skilful in all games of mingled skill and chance? It requires an arithmetical head for that: a first-rate card-player is a financier spoilt. I am certain that you never could find a man fortunate on the turf or at the gaining-table who had not an excellent head for figures. Well, this French is good enough, apparently; ...
— The Caxtons, Complete • Edward Bulwer-Lytton
... which aided them in the struggle of existence, and as reason gradually came these instincts may have waned away. Some instincts certainly do wane when the intellect is applied steadily to their subject-matter. The curious 'counting boys,' the arithmetical prodigies, who can work by a strange innate faculty the most wonderful sums, lose that faculty, always partially, sometimes completely, if they are taught to reckon by rule like the rest of mankind. In like ...
— Physics and Politics, or, Thoughts on the application of the principles of "natural selection" and "inheritance" to political society • Walter Bagehot |
