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Theorem   Listen
verb
Theorem  v. t.  To formulate into a theorem.






Collaborative International Dictionary of English 0.48








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"Theorem" Quotes from Famous Books



... we proceed to speak of Extension, which, considered as relative, is the object of Geometry. The infinite divisibility of finite extension, though it is not expressly laid down either as an axiom or theorem in the elements of that science, yet is throughout the same everywhere supposed and thought to have so inseparable and essential a connexion with the principles and demonstrations in Geometry, that mathematicians ...
— A Treatise Concerning the Principles of Human Knowledge • George Berkeley

... exclaimed at length; "the corollary is worse than the theorem, and things are becoming so decidedly mixed that we must begin to go slow. I for one propose to replenish that fire, and then bunk down right here for ...
— Raftmates - A Story of the Great River • Kirk Munroe

... the discovery of the beautiful theorem of Huygens, it required in its author not merely a complete knowledge of the mathematical science of his age, but a genius to enlarge its boundaries by new creations of his own. Such talents are not always united with a quick perception of the details, ...
— Decline of Science in England • Charles Babbage

... although 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 ...
— The Hindu-Arabic Numerals • David Eugene Smith

... panic is always a financial panic, as a falling away of the metallic reserve indicates its breaking out; and I have only translated that portion dealing with the United States, deeming the rest unnecessary, for this amply illustrates and proves the theorem in hand. ...
— A Brief History of Panics • Clement Juglar

... itself, from its own peculiar resources; the nature of the game is a thing determinate and fixed: there is no royal or poetical road to checkmate your adversary. There is no place for genius but in the indefinite and unknown. The discovery of the binomial theorem was an effort of genius; but there was none shown in Jedediah Buxton's being able to multiply 9 figures by 9 in his head. If he could have multiplied 90 figures by 90 instead of 9, it would have been equally useless toil and ...
— Table-Talk - Essays on Men and Manners • William Hazlitt

... 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 ...
— Uarda • Georg Ebers

... flying-squirrels, and also birds. When he first brought me a bird, I told him that it was wrong, and tried to convince him, while he was eating it, that he was doing wrong; for he is a reasonable cat, and understands pretty much everything except the binomial theorem and the time down the cycloidal arc. But with no effect. The killing of birds went on to ...
— Little Masterpieces of American Wit and Humor - Volume I • Various

... college. Even as we were at odds in our physical builds and our dispositions, so were we in our studies. From the beginning Hobart has had a mania for screws, bolts, nuts, and pistons. He is practical; he likes mathematics; he can talk to you from the binomial theorem up into Calculus; he is never so happy as when the air is buzzing with a conversation charged with induction coils, alternating currents, or atomic energy. The whole swing and force of popular science is his kingdom. I will say for Hobart that ...
— The Blind Spot • Austin Hall and Homer Eon Flint

... 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 ...
— The Mind and Its Education • George Herbert Betts

... 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 ...
— Pioneers of Science • Oliver Lodge

... theorem of taxation which is displayed on the banners of woman suffrage is, I suppose, deliberately and intentionally a suggestio falsi. For only that taxation is tyrannous which is diverted to objects which are not useful to the contributors. And even the suffragist does not ...
— The Unexpurgated Case Against Woman Suffrage • Almroth E. Wright

... Martha's hopes and fears, and the great ambition she had for an education. "She won't have much time to improve her mind now," he said to himself. "She never hesitated, though. She may not be acquainted with the binomial theorem, but she has a heart of gold, and that's more important. I wonder what Arthur is thinking. He's foolish to grieve for the tow-haired Thursa ...
— The Second Chance • Nellie L. McClung

... the modern term "aeroplane" to his invention, and Sir Hiram Maxim, who built in 1890 the most complicated and impressive looking 'plane the world has yet seen. But though each of these inventors proved the theorem that a heavier-than-air machine could be made to fly, all failed to get practical results because no motor had then been invented which combined the necessary lightness with the ...
— Aircraft and Submarines - The Story of the Invention, Development, and Present-Day - Uses of War's Newest Weapons • Willis J. Abbot

... "flying saucer" were being batted around by every newspaper reporter, radio and TV newscaster, comedian, and man on the street. Some of the comments weren't complimentary, but as Theorem I of the publicity racket goes, "It doesn't make any difference what's said as long as the ...
— The Report on Unidentified Flying Objects • Edward Ruppelt

... 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 ...
— Old Ticonderoga, A Picture of The Past - (From: "The Snow Image and Other Twice-Told Tales") • Nathaniel Hawthorne

... as difficult as that," said Donald. "While you're talking about peculiar things, I'll tell you one. In class I came right up against Oka Sayye on the solution of a theorem in trigonometry. We both had the answer, the correct answer, but we had arrived at it by widely different routes, and it was up to me to prove that my line of reasoning was more lucid, more natural, the inevitable one by which the solution ...
— Her Father's Daughter • Gene Stratton-Porter

... and sea, ringing great bells, waving great banners, they, too—these insolent, boisterous burghers—accomplish their work. Thus, the mighty power of the purse develops itself and municipal liberty becomes a substantial fact. A fact, not a principle; for the old theorem of sovereignty remains undisputed as ever. Neither the nation, in mass, nor the citizens, in class, lay claim to human rights. All upper attributes—legislative, judicial, administrative—remain in the land-master's breast alone. It is an absurdity, ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... geometrical theorems, or rather problems, this is one: Two figures being given, to describe a third, which shall be equal to one and similar to the other. And it is reported that Pythagoras, upon the discovery of this problem, offered a sacrifice to the gods; for this is a much more exquisite theorem than that which lays down, that the square of the hypothenuse in a right-angled triangle is equal to the squares of the two sides. Right, said Diogenianus, but what is this to the present question? You will easily understand, I replied, if you ...
— Essays and Miscellanies - The Complete Works Volume 3 • Plutarch

... augmented, and c x rose proportionally. The law of the variation, according to our theory, would be thus expressed. The resultant was David the king c e x [c r?] (who had been David the shepherd boy), and from the conditions of the theorem we have ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... Indeed, it is extremely remarkable that the moon actually gains energy from the tides by itself absorbing some of the store which exists in the earth. This is not put forward as an obvious result; it depends upon a refined dynamical theorem. ...
— The Story of the Heavens • Robert Stawell Ball

... no more doubt of the correctness of his reasoning, than a geometrician of the truth of a theorem ...
— The War Trail - The Hunt of the Wild Horse • Mayne Reid

... Some work which would be possible for you or me, is impossible for her. I did not realize until we roomed together what a difference there can be in—in—minds. I could not have believed that any one would consider a theorem or a page of French difficult. But," with an arch glance, "these past two years have taught me a great deal. I am more sympathetic, and oh so much ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird

... exactly the point I have been endeavoring to prove, from the beginning of this work to the end of it. But as it seems not yet to have been stated clearly enough, I will here try to put my entire theorem ...
— The Stones of Venice, Volume III (of 3) • John Ruskin

... certainly a most puzzling and comfortless creature. A few only, half discerning what was in his mind, would fain have shared his intellectual clearness, and found a kind of beauty in this youthful enthusiasm for an abstract theorem. Extremes meeting, his cold and dispassionate detachment from all that is most attractive to ordinary minds came to have the impressiveness of a great passion. And for the most part, people had loved him; feeling instinctively that somewhere there must be the justification ...
— Imaginary Portraits • Walter Pater

... warned not to 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

... invented the sphere, the gnomon, and geographical charts, which required considerable geometrical knowledge. Anaxagoras employed himself in prison in attempting to square the circle. Pythagoras discovered the important theorem that in a right-angled triangle the squares on the sides containing the right angle are together equal to the square on the opposite side of it. He also discovered that of all figures having the same boundary, the circle among plane figures and the sphere among solids, are the most ...
— The Old Roman World • John Lord

... violence, but complete absence of emotional reaction. If 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 ...
— The Varieties of Religious Experience • William James

... the heaviness of an oppressor's hand, and striving to find relief from unjust burdens. As if any nation endowed with enough of the spirit of independence to assent to the right of resistance when offered to them as a speculative theorem, would not infallibly be led by the same spirit to assert the right without the speculative theorem. That so acute a head as Hume's should have failed to perceive these very plain considerations, and that he should moreover have perpetrated ...
— On Compromise • John Morley

... Archonta Magoi]. An antiquarian of Wales, in devising a pedigree for the Oymri, has imported ancestors for the ancient Britons from Ceylon; and a writer in the Asiatic Researches, in 1807, as a preamble to the proof that the binomial theorem was familiar to the Hindus, has traced Western civilisation to an irruption of philosophers from India, identified the Druids with the Brahmans, and declared Stonehenge to be "one of the temples of Boodh." (Asiat. Res., vol. ii. p. 448.) A still more recent investigator, M. MAUPIED, has collected, ...
— Ceylon; an Account of the Island Physical, Historical, and • James Emerson Tennent

... work is found for the man, or man rises to find his own; until the great impetus in our national life is toward the end of developing the intrinsic values of each child, and fitting the task to it; so long as trade masters the many, and the minds of the majority are attracted toward the simple theorem of making cheap and forcing sales, or buying cheap and selling dear; so long as the child is competitively educated in great classes, and the pride of life is in possession of material things, instead of the eternal things—just so long ...
— Child and Country - A Book of the Younger Generation • Will Levington Comfort

... which everything else is sacrificed, while the love of the child for the parent is a tame and essentially selfish emotion, absolutely powerless when it comes into competition with the passions which are concerned with the transmission of the vital flame. This theorem having been stated, what is the first obligatory scene? Evidently one in which a mother shall refuse a second marriage, with a man whom she loves, because it would injure the prospects and wound ...
— Play-Making - A Manual of Craftsmanship • William Archer

... policy was a tentative one, and rightly so. He laid down no programme which must compel him to be either inconsistent or unwise, no cast-iron theorem to which circumstances must be fitted as they rose, or else be useless to his ends. He seemed to have chosen Mazarin's motto, Le temps et moi. The moi, to be sure, was not very prominent at first; but it has grown more and more so, till the world is beginning ...
— Harvard Classics Volume 28 - Essays English and American • Various

... b. at Woolsthorpe, Lincolnshire, the s. of a small landed proprietor, and ed. at the Grammar School of Grantham and at Trinity Coll., Camb. By propounding the binomial theorem, the differential calculus, and the integral calculus, he began in 1665 the wonderful series of discoveries in pure mathematics, optics, and physics, which place him in the first rank of the philosophers ...
— A Short Biographical Dictionary of English Literature • John W. Cousin

... in mathematics experiences a feeling of growing strength and power when he finds, in algebra, that the formula he used in arithmetic in extracting a square root has grown in importance by leading indirectly to a theorem of which it is only one particular case—a theorem with a more definite proof, and a larger capability for use than he had thought possible. When he finds a still simpler proof for the binomial theorem in his study of the calculus, his feeling of increasing power ...
— Scientific American Supplement, No. 286 - June 25, 1881 • Various

... can allow himself any time he pleases. He is in no need of the capacity of doing rapidly what he does; what he rather needs is patience, to work on slowly until imperfect lights have become perfect, and a conjecture has ripened into a theorem. For those, on the contrary, whose business is with the fugitive and perishable—with individual facts, not kinds of facts—rapidity of thought is a qualification next only in importance to the power of thought itself. ...
— The Subjection of Women • John Stuart Mill

... Bolsheviki are not Marxians. Their Socialism is as little Marxian as Russian. When Marx and Engels forecasted the establishment of proletarian dictatorship it was part of their theorem that economic evolution would have reduced practically all the masses to a proletarian state; that industrial and commercial concentration would have reached such a stage of development that there would be on the one side a small class of owners, and, on the other side, the proletariat. ...
— Bolshevism - The Enemy of Political and Industrial Democracy • John Spargo

... real or imaginary 'ideas' upon which animal forms are modelled. All that I mean is the conception of a form embodying the most general propositions that can be affirmed respecting the Cephalous Mollusca, standing in the same relation to them as the diagram to a geometrical theorem, and like it, at once imaginary and true" (i., p. 176). Again, in his Croonian lecture on the theory of the vertebrate skull, he remarks that a general diagram of the skull could easily be given. "There is ...
— Form and Function - A Contribution to the History of Animal Morphology • E. S. (Edward Stuart) Russell

... evidence. Book viii. is a consideration of the 'technical' 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 be excluded with the professed intention of obtaining a ...
— The English Utilitarians, Volume I. • Leslie Stephen

... 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 in it, and that the theory seems ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various

... translation into common, everyday language, may be shown by another mathematical illustration. Every student of Algebra learns the binomial theorem, or expression for the square of the sum of two quantities; but he does not reflect upon it, illustrate it, or perceive {39} its every-day applications, and if asked to give the square of 21, will fail to see that ...
— How to Study • George Fillmore Swain

... crippled the minds and blasted the lives of thousands of their fellow-creatures—elementary mathematics. There is no more reason for any human being on God's earth to be acquainted with the Binomial Theorem or the Solution of Triangles—unless he is a professional scientist, when he can begin to specialise in mathematics at the same age as the lawyer begins to specialise in law or the surgeon in anatomy—than for him to be an expert in Choctaw, the Cabala or the Book of Mormon. I look back with feelings ...
— The Morals of Marcus Ordeyne • William J. Locke

... Even if we admit, he says, that the direction and the velocity of every atom of matter in the universe (including cerebral matter, i.e., the brain, which is a material thing) are strictly determined, it would not at all follow from the acceptance of this theorem that our mental life is subject to the same necessity. For that to be the case, we should have to show absolutely that a strictly determined psychical state corresponds to a definite cerebral state. This, as we have seen, has not been ...
— Bergson and His Philosophy • J. Alexander Gunn

... Barnes's shop nor to the Marshalls for nearly a month. One Sunday morning he was poring over the Moreh Nevochim, for it had proved too powerful a temptation for him, and he fell upon the theorem that without God the Universe could not continue to exist, for God is its Form. It was one of those sayings which may be nothing or much to the reader. Whether it be nothing or much depends upon the quality ...
— Clara Hopgood • Mark Rutherford

... which speculation was entering in France at that moment. His Vindication is meant to be a reduction to an absurdity. The rising revolutionary school in France, if they had read it, would have taken it for a demonstration of the theorem to be proved. The only interest of the piece for us lies in the proof which it furnishes, that at the opening of his life Burke had the same scornful antipathy to political rationalism which flamed out in such ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... ray from Goethe's prodigal orb with an abhorrence most unphilosophical for a philosopher so young as generally to take upon oath any words of so great a master. Kenelm thought that the root of all private benevolence, of all enlightened advance in social reform, lay in the adverse theorem,—that in every man's nature there lies a something that, could we get at it, cleanse it, polish it, render it visibly clear to our eyes, would make us love him. And in this spontaneous, uncultured sympathy with the results of so many laborious struggles of his ...
— Kenelm Chillingly, Complete • Edward Bulwer-Lytton

... 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 ...
— The French Impressionists (1860-1900) • Camille Mauclair

... to geometry, and Erik demonstrated clearly a theorem relative to the sum of the angles of ...
— The Waif of the "Cynthia" • Andre Laurie and Jules Verne

... mathematical proposition, a passage of poetry, a page of history, are all admirable things in their way, and each may be part of a work destined to durable celebrity; but what should we say to a composition which should present us, page about, with a theorem of Euclid, a scene from Shakspeare, and a section from Gibbon? Unity of effect, identity of train of thought, similarity of ideas, are as necessary in a book of travels as in an epic poem, a tragedy, or a painting. There is no such thing as one set ...
— Blackwood's Edinburgh Magazine, Volume 62, Number 361, November, 1845. • Various

... dodecagon, which is, of course, equivalent to asserting that a straight line is not always the shortest distance between two points. Did Clavius show this? No, it was Scaliger himself who showed it, boasted of it, and declared it to be a "noble paradox" that a theorem false in geometry is true in arithmetic; a thing, he says with great triumph, not noticed by Archimedes himself! He says in so many words that the periphery of the dodecagon is greater than that of the circle; and that the more sides there are to the inscribed figure, the more ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan



Words linked to "Theorem" :   Bayes' theorem, idea, proposition, thought



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