"Theorem" Quotes from Famous Books
 ... system, that namely which was accepted by English lawyers; and finally Book ix. deals with a special point, namely, the exclusion of evidence. Bentham announces at starting[419] that he shall establish 'one theorem' and consider two problems. The problems are: 'what securities can be taken for the truth of evidence?' and 'what rules can be given for estimating the value of evidence?' The 'theorem' is that no evidence should ...
— The English Utilitarians, Volume I. • Leslie Stephen
... outre,—a little in excess; it overdoes the thing only because it has so much energy in it. It is what Charles Lamb said a pun was,—"a sole digest of wisdom." All great thoughts are at first witty, and afterward come to be common and flat. When Pythagoras discovered the theorem of the squares erected on the sides of a right-angled triangle, it had the effect on him of a most preposterous joke. The apple dropping on the head of Newton struck him like a very far-fetched pun. Show a child the picture of a wild Tartar, and his first motion will be to laugh ...
— Atlantic Monthly, Volume 3, Issue 17, March, 1859 • Various
... this was long before Pythagoras lived. Whitney[46] places the whole of the Veda literature, including the Vedas, the Br[a]hma[n.]as, and the S[u]tras, between 1500 B.C. and 800 B.C., thus agreeing with Buerk[47] who holds that the knowledge of the Pythagorean theorem revealed in the S[u]tras goes back to ...
— The Hindu-Arabic Numerals • David Eugene Smith
... Taylor's Theorem, based upon that first published by Maclaurin, is the foundation of the Calculus by La Grange, differing from the methods of Leibnitz and Newton in the manner of deriving the auxiliaries employed, proceeding upon analytical considerations throughout. Of ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various
... in an instant, or when we are on the point of losing what is dearest to us, why is faith in God and in His providence not then weakened in the religious man? Why, on the contrary, does he cling to it more and more? The reason is, because such a faith is not a cold theorem, against which some doubt may eventually arise, but a truth rooted in the love inherent in our nature; and consequently it acquires vigour with the growth of love, and its power cannot be extinguished but when we cease to love. So, also, the other ...
— A Guide for the Religious Instruction of Jewish Youth • Isaac Samuele Reggio
... to Galileo's discovery known as the theorem of the Parallelogram of Forces. The illusion which has been woven round this theorem expresses itself in the way it is described as being connected ideally with another theorem, outwardly similar in character, known as the theorem of the Parallelogram of ...
— Man or Matter • Ernst Lehrs
... he went to the theatre, which he did out of habit, he could find no pleasure there. The thought of his house of his home, of his wife, and of his absent children moved him as little, he said, as a theorem of Euclid."[76] ...
— The Varieties of Religious Experience • William James
... relatively, for if I were to give another day's work to it it would be more finished still. Not one of Petrarch's sonnets is a really finished production; no, nor any other man's sonnets. Nothing that the mind of man can conceive is perfect, save it be a mathematical theorem." ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt
... person; even, if the choice were necessary, which cannot be, I might sacrifice you. There is this duality in man's nature. The ambition of his intellect, the passion, it may be, to force upon the world some vision of his imagination or some theorem of his brain, works in him side by side with his personal being, and the two are never quite fused. Can you not recall a score of examples in history of men who have led this dual existence? You reviewed for me Bismarck's Love Letters and were yourself struck by this sharp contrast between the ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More
... 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 ...
— The Mind and Its Education • George Herbert Betts
... yourself with men; and there are those about you who seem to your untaught eye to be men already. Your chum, a hard-faced fellow of ten more years than you, digging sturdily at his tasks, seems by that very community of work to dignify your labor. You watch his cold, gray eye bending down over some theorem of Euclid, with a kind of proud companionship in what so ...
— Dream Life - A Fable Of The Seasons • Donald G. Mitchell
... levelled. But where my unmilitary glance could trace no regularity, the young lieutenant was perfectly at home. He fathomed the meaning of every ditch, and formed an entire plan of the fortress from its half-obliterated lines. His description of Ticonderoga would be as accurate as a geometrical theorem, and as barren of the poetry that has clustered round its decay. I viewed Ticonderoga as a place of ancient strength, in ruins for half a century: where the flags of three nations had successively waved, and none waved now; where armies had struggled, so long ...
— Old Ticonderoga, A Picture of The Past - (From: "The Snow Image and Other Twice-Told Tales") • Nathaniel Hawthorne
... made it a new science. He reformed its clumsy nomenclature, also the algebraic use of letters for quantities; he introduced system into the use of exponents to denote the powers of a quantity, thus opening the way for the binomial theorem; he was the first to throw clear light on the negative roots of equations; his is the theorem by use of which the maximum number of positive or negative roots of an equation can be ascertained. Analytical geometry originated with his investigation ...
— Library of the World's Best Literature, Ancient and Modern — Volume 11 • Various
... Froebel's pedagogical principles undoubtedly appear at first sight a pallid theorem, partly a matter of course, partly impracticable. During our stay in Keilhau we never heard of these claims, concerning which we pupils were the subject of experiment. Far less did we feel that we were being educated according to any fixed method. We perceived ...
— Uarda • Georg Ebers
... instance, in the persuasive writers generally, how difficult to define the point where, from time to time, argument which, if it is to be worth anything at all, must consist of facts or groups of facts, becomes a pleading—a theorem no longer, but essentially an appeal to the reader to catch the writer's spirit, to think with him, if one can or will—an expression no longer of fact but of his sense of it, his peculiar intuition of a world, prospective, or discerned below the faulty conditions of the present, in either ...
— Appreciations, with an Essay on Style • Walter Horatio Pater
... bother you with questions, but tell me, Daddy, just this once—are you awfully old or just a little old? And are you perfectly bald or just a little bald? It is very difficult thinking about you in the abstract like a theorem in geometry. ...
— Daddy-Long-Legs • Jean Webster
... every right angled triangle is equal to the sum of the squares of the other two sides, [50] are ascribed to him. In memory of the latter of these discoveries he is said to have offered a public sacrifice to the Gods; and the theorem is still known by the name of the Pythagorean theorem. He ascertained from the length of the Olympic course, which was understood to have measured six hundred of Hercules's feet, the precise stature of that hero. [51] Lastly, Pythagoras is the first person, who is known to have taught the ...
— Lives of the Necromancers • William Godwin
... was warmly complimented by Ptolemy, who, however, after much thought and research, decided that he could not accept it as final. His own theory was that the Milky Way was an emigration of lightning bugs; and he supported and reinforced this theorem by the well-known fact that the locusts ...
— Innocents abroad • Mark Twain
... calculated the expansive force of steam many centuries ago. The ancient Hindus were the first to determine the velocity of light and the laws of its reflection; and the table of Pythagoras and his celebrated theorem of the square of hypotenuse are to be found in the ancient books of Jyotisha. All this leads us to suppose that ancient Aryans, when instituting the strange custom of wearing silk during meals, had something serious in view, ...
— From the Caves and Jungles of Hindostan • Helena Pretrovna Blavatsky
... mathematicians—amongst men who never destroy a paper because they have no present use for it, or because the subject does not come within the range of their researches, than amongst men who value nothing but a "new theorem" or "an ...
— Notes & Queries, No. 9, Saturday, December 29, 1849 • Various
... Major-Gineral. I've information vegetable, animal, and mineral; I know the kings of England, and I quote the fights historical, From Marathon to Waterloo, in order categorical; I'm very well acquainted too with matters mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the square of the hypotenuse. I'm very good at integral and differential calculus, I know the scientific names of beings animalculous, In short in matters vegetable, animal and mineral, I am the very model ...
— Bab Ballads and Savoy Songs • W. S. Gilbert
... a water-tight compartment. He remembers few, if any, of the formulae, equations, and symbols. He recalls vividly his admiration of the author's ingenious method of deriving equations. Every succeeding theorem, formula, or equation was another puzzle in a subject which seemed to be composed of a series of difficult, unrelated, and unapplied mathematical proofs. The course ended, the mass of data was soon obliterated from the ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper
... was thrown aside, but the Descartes baffled him for a time. However, he set to it again and again and before long mastered it. He threw himself heart and soul into mathematics, and very soon made some remarkable discoveries. First he discovered the binomial theorem: familiar now to all who have done any algebra, unintelligible to others, and therefore I say nothing about it. By the age of twenty-one or two he had begun his great mathematical discovery of infinite series and fluxions—now known by the name of the Differential Calculus. He wrote these things ...
— Pioneers of Science • Oliver Lodge
... even among his earliest sketches. In his account of "Sunday at Home" he says: "Time—where a man lives not—what is it but Eternity?" Does he not recognize in this condensed statement Kant's theorem that time is a mental condition, which only exists in man, and for man, and has no place in the external world? In fact, it only exists by divisions of time, and it is man who makes the divisions. The rising of the sun does not constitute time; for the sun is always rising—somewhere. The ...
— The Life and Genius of Nathaniel Hawthorne • Frank Preston Stearns
... in obtaining thus a greater exactness than that which results from the individual temperament of the painter who simply relies on his own perception. And it is true, in theory, that such a conception is more exact. But it reduces the picture to a kind of theorem, which excludes all that constitutes the value and charm of an art, that is to say: caprice, fancy, and the spontaneity of personal inspiration. The works of Seurat, Signac, and of the few men who have strictly followed the rules of Pointillism are lacking in ...
— The French Impressionists (1860-1900) • Camille Mauclair
... to the squares of the circumambient distances, provided the perihelia are equal, and the evolution of nituretted carbogen in the boomerang be carefully avoided during evaporation; the power of the parallax being represented, of course, according to the well-known theorem of Rabelais, by H.U.M. Hemsterhuysius seems to have been familiar with this pretty experiment." The above sentence being shown to the Aesthetic Editor aforesaid, he acknowledges that he sees nothing more absurd than common ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various
... to expose it to light, or to propose the evidences for it? If an obscure or doubtful point come to be debated, it will not bear an oath; it will be a strange madness to dare, a great folly to hope the persuading it thereby. What were more ridiculous than to swear the truth of a demonstrable theorem? What more vain than so to assert a disputable problem: oaths (like wagers) are in such cases no arguments, except silliness ...
— Sermons on Evil-Speaking • Isaac Barrow
... on the stage to be able to attend to the familiar factor of humanity in it as well as to the unfamiliar one of a real environment, he will both see and feel that Mrs Warren's Profession is no mere theorem, but a play of instincts and temperaments in conflict with each other and with a flinty social problem that never yields ...
— Mrs. Warren's Profession • George Bernard Shaw
... A problem for Copernicus—a paradox, a theorem with many decimal points. So thinks the tourist, retiring to his hotel. And figuring thus, he falls to sleep, enveloped in a caressing miasma ...
— Europe After 8:15 • H. L. Mencken, George Jean Nathan and Willard Huntington Wright
... with. Opposition wakes one up. The other road may be the better, but you will never know it unless you "give it the once over." Do not do all your thinking and investigating in front of given "Q.E.D.'s;" merely assembling reasons to fill in between your theorem and what you want to prove will get you nowhere. Approach each subject with an open mind and—once sure that you have thought it out thoroughly and honestly—have the courage to abide by the decision of your own thought. But don't brag about ...
— The Art of Public Speaking • Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein
... see," said Margaret, with the kind readiness of woman, who would profess to "see" the Secret of Hegel, or the inmost heart of the Binomial Theorem, or the nature of the duties of cover-point, or the latest hypothesis about the frieze of the Parthenon, rather than be troubled with prolonged explanations, which the expositor, after all, might ...
— The Mark Of Cain • Andrew Lang
... asked to believe that this morality derives its obligation from some general principle round which custom has not thrown the same halo, the assertion is to him a paradox; the supposed corollaries seem to have a more binding force than the original theorem; the superstructure seems to stand better without, than with, what is represented as its foundation. He says to himself, I feel that I am bound not to rob or murder, betray or deceive; but why am I bound to promote the general ...
— Utilitarianism • John Stuart Mill
... this revelation and gone back to the Greeks. Lo, he reads poetry into "the appetite for women"—he rejects the Pauline doctrine that all love is below the diaphragm! He thinks of Ulysses, not as a mere heretic and criminal, but as a great artist. He sees the life of man, not as a simple theorem in Calvinism, but as a vast adventure, an enchantment, a mystery. It is no wonder that respectable school-teachers ...
— A Book of Prefaces • H. L. Mencken
... merely workmanlike. He put away the six-shooters, and strove barehanded with joy and vigor, which was delightful; yet so systematic, that it was anything rather than romance. It might have been geometry, in that a foe is safer horizontal than perpendicular, and the theorem he applied industriously, with ...
— The Missourian • Eugene P. (Eugene Percy) Lyle
... smile approval and give a perfect grade. It matters not at all that they display no intelligent understanding of the subject so long as they can repeat the statements of the book. It never seems to occur to the teacher that the pupil of the third grade might give the words of the binomial theorem without the slightest apprehension of its meaning. We grade for the repetition of ...
— The Vitalized School • Francis B. Pearson
... since there is no fourth power or dimension. But about one hundred years ago this chimera became an actual existence, and today it is furnishing a new world to physics, in which mechanics may become geometry, time be co-ordinated with space, and every geometric theorem in the world is a physical theorem in the experimental world in study in the laboratory. Startling indeed it is to the scientist to be told that an artificial dream-world of the mathematician is more real than that he sees with his galvanometers, ultra-microscopes, ...
— Architecture and Democracy • Claude Fayette Bragdon
... himself has harder words for metaphysics than Mr. Carlyle. 'The disease of Metaphysics' is perennial. Questions of Death and Immortality, Origin of Evil, Freedom and Necessity, are ever appearing and attempting to shape something of the universe. 'And ever unsuccessfully: for what theorem of the Infinite can the Finite render complete?... Metaphysical Speculation as it begins in No or Nothingness, so it must needs end in nothingness; circulates and must circulate in endless vortices; creating, swallowing—itself.'[9] Again, on the other side, he sets his face just as firmly ...
— Critical Miscellanies, Vol. I - Essay 2: Carlyle • John Morley |
