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Theorem   /θˈɪrəm/   Listen
Theorem

noun
1.
A proposition deducible from basic postulates.
2.
An idea accepted as a demonstrable truth.



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"Theorem" Quotes from Famous Books



... fellowships that made democracy possible. For it was in these same fields that Horace literally sat by the plough and sang of farm and city. It was there that Livy told his old-world stories by lamplight or at the noon-hour. It was there that Pythagoras explained his ancient theorem. ...
— The French in the Heart of America • John Finley

... coherent feature of that astounding nightmare in which we figured. The absurd and the impossible always happen in dreams. I am sure that if the dove on the woman's finger had opened its painted bill and spoken, say about the binomial theorem, or the Effect of Too Much Culture upon Women's Clubs, I should have listened with equal gravity and the same abysmal absence ...
— Slippy McGee, Sometimes Known as the Butterfly Man • Marie Conway Oemler

... do with it. I began by going over quadratic equations, and I gradually solved the whole of those given in Todhunter's larger 'Algebra.' Then I re-read the progressions, permutations, combinations; the binomial theorem, with indices and surds; the logarithmic theorem and series, converging and diverging. I got Todhunter's larger 'Plane Trigonometry,' and read it, with the theorems contained in it; then his 'Spherical Trigonometry;' his 'Analytical Geometry, of Two Dimensions,' ...
— Men of Invention and Industry • Samuel Smiles

... is a kind of classification; it is the finding of resemblance between the phenomenon in question and other phenomena. In Mathematics, the explanation of a theorem is the same as its proof, and consists in showing that it repeats, under different conditions, the definitions and axioms already assumed and the theorems already demonstrated. In Logic, the major premise of every syllogism is an explanation of the conclusion; ...
— Logic - Deductive and Inductive • Carveth Read

... dispensing with it, 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

... mind! Come, it's time for me to learn my lessons. See here, what I've got to do," said Tom, drawing Maggie towards him and showing her his theorem, while she pushed her hair behind her ears, and prepared herself to prove her capability of helping him in Euclid. She began to read with full confidence in her own powers; but presently, becoming quite bewildered, her face flushed with irritation. It was ...
— The Ontario Readers: Fourth Book • Various

... drinking that morning, no cards, no scandal-mongering. They sat round a table under an acetylene lamp, anxiously listening to a young professor from Christiania who claimed to be versed in the higher mathematics and was then occupied in calculating, by means of the binomial theorem, how long it would take for the whole town of Nepenthe to be submerged under ashes up to the roofs—presuming all the buildings to be of equal height. He was a new-comer to the place and, for that reason, ...
— South Wind • Norman Douglas

... 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 ...
— Uarda • Georg Ebers

... According to Christianity, in making it, He set it free. God had written, not so much a poem, but rather a play; a play he had planned as perfect, but which had necessarily been left to human actors and stage-managers, who had since made a great mess of it. I will discuss the truth of this theorem later. Here I have only to point out with what a startling smoothness it passed the dilemma we have discussed in this chapter. In this way at least one could be both happy and indignant without degrading one's self to be either a pessimist or ...
— Orthodoxy • G. K. Chesterton

... 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

... geometry, which he studied at every opportunity. To the mental training which it gave him was due his success not only as a lawyer, but also as a political orator. Every one of his speeches was as complete a demonstration of its theme as a proposition in Euclid is of its theorem. Lincoln once said that "demonstration" was the ...
— Practical Suggestions for Mother and Housewife • Marion Mills Miller

... shows the process of transformation, out of which issued during the exile the elaborate, hierarchical system known to us as Mosaism. The new criticism seems to me to have reasonably established the theorem, that the priestly cultus embodied in the legislation of the Pentateuch was first systematized into the form it there presents during the exile, and was first set up as the national system on the return to Judea. It is not claimed that it was a new manufacture of that ...
— The Right and Wrong Uses of the Bible • R. Heber Newton

... of this 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 Life and Genius of Nathaniel Hawthorne • Frank Preston Stearns

... indeed, hard to draw. In Pascal, for 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, ...
— Appreciations, with an Essay on Style • Walter Horatio Pater

... proportioned 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 in it, and that the theory seems to him as worthy of ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various

... The theorem was learned at last so that she could make a recitation on it, even if she did not understand it perfectly, and Migwan left it to take up a piece of work which gave her as much pleasure as the other ...
— The Camp Fire Girls at School • Hildegard G. Frey

... of Geometrical Propositions 02. The System of Co-ordinates 03. Space and Time in Classical Mechanics 04. The Galileian System of Co-ordinates 05. The Principle of Relativity (in the Restricted Sense) 06. The Theorem of the Addition of Velocities employed in Classical Mechanics 07. The Apparent Incompatability of the Law of Propagation of Light with the Principle of Relativity 08. On the Idea of Time in Physics 09. The Relativity ...
— Relativity: The Special and General Theory • Albert Einstein

... be considered sad to marry one's lover and for a child to grow up, can never be understood by men. There are many things in the "eternal womanly" which men understand about as well as a kitten does the binomial theorem, but some mysteries become simple enough when the leading fact is grasped—that woman's song of life is written in a minor key and that she actually enjoys the semblance of sorrow. Still, the average woman wishes to be idealised and strongly ...
— The Spinster Book • Myrtle Reed

... sacrifice my own 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 ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More

... engraved on his tombstone, was his demonstration that the solid content of a sphere is two-thirds that of its circumscribing cylinder. It was by this mark that Cicero, when Quaestor of Sicily, discovered the tomb of Archimedes grown over with weeds. This theorem was, however, only one of a large number of a like kind, which he treated of in his two books on the sphere and cylinder in an equally masterly manner, and with equal success. His position as a geometer is perhaps better understood from ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper



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



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