"Theorem" Quotes from Famous Books
 ... This latter 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 suggest that the ...
— The Unexpurgated Case Against Woman Suffrage • Almroth E. Wright
... 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 ...
— The Life and Genius of Nathaniel Hawthorne • Frank Preston Stearns
... 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 never admit it into doubt, ...
— A Treatise Concerning the Principles of Human Knowledge • George Berkeley
... want to conceal from you," said M. d'Asterac, "that I have made great progress in it, but withal I have not found the theorem capable of rendering my work perfect. At the moment you knocked at the door I was picking up the Spirit of the World, and the Flower of Heaven, which are the veritable Fountains of Youth. Have you some understanding of alchemy, ...
— The Queen Pedauque • Anatole France
... either good batsmen or good oarsmen. But the bat and the racer's oar are children's toys. Resolve that you will be men in usefulness, as well as in strength; and you will find that then also, but not till then, you can become men in understanding; and that every fine vision and subtle theorem will present itself to you thence-forward undeceitfully, [Greek: ...
— Aratra Pentelici, Seven Lectures on the Elements of Sculpture - Given before the University of Oxford in Michaelmas Term, 1870 • John Ruskin
... kind, yet bent only on 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 ...
— Imaginary Portraits • Walter Pater
... 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 ...
— A Book of Prefaces • H. L. Mencken
... 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, rather ...
— 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 to any fixed method. ...
— Uarda • Georg Ebers
... destination of the world to another and higher existence in which the law of perishableness and suffering no longer governs. On the other hand, if, as we assume hypothetically, all higher forms of existence in the world could be explained out of the preceding lower ones, and if the before-mentioned theorem of a sensation of atoms should form a needed and correct link in that chain of explanation, those words of sighing and longing would have to be literally taken in a still more comprehensive sense than now and in their directly literal meaning {279} would ...
— The Theories of Darwin and Their Relation to Philosophy, Religion, and Morality • Rudolf Schmid
... yourself, what would have become of mankind without any religion, without the conviction that beyond our horizon, that is beyond our limit, there still must be something? You will answer, 'How do we know that?' Well, can there be any boundary without something beyond it? Is not that as true as any theorem in geometry? If it were not so, how could we explain the fact that mankind has never been without a belief in a world beyond, nor without religion, either in the lowest ...
— The Silesian Horseherd - Questions of the Hour • Friedrich Max Mueller
... brother—his "after clap"—as Archie B. called him. He was timid, uncertain, pious and given to tears—"bo'hn on a wet Friday"—as Archie B. had often said. He was always the effect of Archie B.'s cause, the illustration of his theorem, the solution of his problem of mischief, the penalty of ...
— The Bishop of Cottontown - A Story of the Southern Cotton Mills • John Trotwood Moore
... 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 do like ...
— Innocents abroad • Mark Twain
... wonderful force of his intellect. When he looked one in the face with intention, and suddenly allowed one to realise, as it were, all the dominating power of his brain, one shrank into insignificance, one felt as an ignorant, intelligent man may feel when confronted with some elaborate theorem of the higher mathematics. "Is it possible that any one can really understand these things?" such a man might think with awe, and in the same way one apprehended some vast, inconceivable possibilities of mind-function when the Wonder looked at one ...
— The Wonder • J. D. Beresford
... 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. ...
— The Ontario Readers: Fourth Book • Various
... contention held by the Egyptians, and after them the Greeks and Arabs, that the Right-Angled Triangle symbolised the nature of the Universe; it was called the law of the three squares, because in every Right-Angled Triangle, as expounded by the Pythagorean Theorem, the squares, formed on the two sides containing the Right Angle, must together be exactly equal to the square on the third side, whatever the shape of the triangle may be. The Right Angle at an early date gave its name to the odd numbers, ...
— Science and the Infinite - or Through a Window in the Blank Wall • Sydney T. Klein
... external fact is, 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 ...
— Appreciations, with an Essay on Style • Walter Horatio Pater
... 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 will we have war and governmental stupidity, ...
— Child and Country - A Book of the Younger Generation • Will Levington Comfort
... logic. Spinoza, on the contrary, could follow out his first principle almost to its last consequence, even to the entire extinction of the moral light of the universe, and the enthronement of blind power, with as little concern, with as profound composure, as if he were merely discussing a theorem in ...
— A Theodicy, or, Vindication of the Divine Glory • Albert Taylor Bledsoe
... understand. Is this not absurd, when the same child can come home from school and talk glibly of a parallelepipedon, a rhombus, rhomboid, polyhedral angle, archipelago, law of primogeniture, the binomial theorem, and of a dicotyledon! He also learns French, German, Latin, Greek, and the argot of ...
— The Warriors • Lindsay, Anna Robertson Brown
... problem and its solution. The man hereupon in a rage drew his sword and killed him. Others say that the Roman fell upon him at once with a sword to kill him, but he, seeing him, begged him to wait for a little while, that he might not leave his theorem imperfect, and that while he was reflecting upon it, he was slain. A third story is that as he was carrying into Marcellus's presence his mathematical instruments, sundials, spheres, and quadrants, by which the eye might measure the magnitude of the sun, some soldiers met with ...
— Plutarch's Lives, Volume II • Aubrey Stewart & George Long
... obligatory; and when a person is 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 ...
— Utilitarianism • John Stuart Mill
... their nurses dandle them They crow binomial theorem, With views (it seems absurd to us) On ...
— More Bab Ballads • W. S. Gilbert
... I've been 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
... 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 ...
— Bab Ballads and Savoy Songs • W. S. Gilbert
... 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 trial as Hedgecock's ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various
... 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 eighth ...
— The Hindu-Arabic Numerals • David Eugene Smith
... 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 ...
— Critical Miscellanies, Vol. I - Essay 2: Carlyle • John Morley
... gain upon particular occasions. The generous man may himself be convinced, that the sum of his happiness is more increased by the feelings of benevolence, than it could be by the gratification of avarice; but, though his understanding may perceive the demonstration of this moral theorem, though it is the remote principle of his whole conduct, it does not occur to his memory in the form of a prudential aphorism, whenever he is going to do a generous action. It is essential to our ideas of generosity, that no such reasoning should, at that moment, pass in his ...
— Practical Education, Volume I • Maria Edgeworth
... told him about 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 when queens are ...
— The Second Chance • Nellie L. McClung
... 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 ...
— Logic - Deductive and Inductive • Carveth Read
... first applied 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 generation of the ...
— Aircraft and Submarines - The Story of the Invention, Development, and Present-Day - Uses of War's Newest Weapons • Willis J. Abbot
... method and form, which may exist between poet and philosopher, is signally illustrated by the relation between Goethe and Spinoza. What Goethe saw and felt, Spinoza proved and defined. The universal and eternal substance was to Spinoza, as philosopher, a theorem, and to Goethe, as poet, a perception and an emotion. Goethe writes to Jacobi that when philosophy "lays itself out for division," he cannot get on with it, but when it "confirms our original feeling as though ...
— The Approach to Philosophy • Ralph Barton Perry
... reference to any 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 no harm," he continues, "in calling such a convenient diagram the 'Archetype' ...
— Form and Function - A Contribution to the History of Animal Morphology • E. S. (Edward Stuart) Russell
... Cimmerian speculation and Boeotian "brain-sweat" of sciolists and scholiasts, that no modest man will hope and no wise man will desire to add to the structure or subtract from it one single brick of proof or disproof, theorem or theory. As yet the one contemporary book which has ever been supposed to throw any direct or indirect light on the mystic matter remains as inaccessible and unhelpful to students as though it had never been published ...
— A Study of Shakespeare • Algernon Charles Swinburne
... A theorem is a proposition to be proved, not being able to prove it, we must simply change it according as our experience dictates, this is precisely what we have done with the escapement after having followed the deductions of recognized authorities with the result that we can now illustrate an ...
— An Analysis of the Lever Escapement • H. R. Playtner
... Now this theorem of pure mechanics was found wanting every time friction took place—that is to say, in all really observable cases. The more perceptible the friction, the more considerable the difference; but, in addition, a new phenomenon always appeared and heat was produced. By experiments which ...
— The New Physics and Its Evolution • Lucien Poincare
... what we once regarded as the formula of the perfect religion—the divinity of man and the humanity of God—we may find quite as truly the formula of the first, not to say the final, sin. To see Christ not in the light of this speculative theorem, but in the light of His own consciousness of Himself, is to realise not only our kinship to God, but our remoteness from Him; it is to realise our incapacity for self-realisation when we are left to ourselves; it ...
— The Atonement and the Modern Mind • James Denney
... as much about handcuffs and fetters as he did about the binomial theorem, but he was one of those lads who are always ready to "have a try" at anything, and, after examining the square deeply-set holes which secured the anklets, he placed the two pen-blades of the knives ...
— The Lost Middy - Being the Secret of the Smugglers' Gap • George Manville Fenn
... branch of knowledge wherewith pedagogues in their insensate folly have 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 ...
— The Morals of Marcus Ordeyne • William J. Locke
... centuries to have been wrong; wrong without exception; wrong totally, and from the foundation. This is 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 into an unmistakable form. ...
— The Stones of Venice, Volume III (of 3) • John Ruskin
... continuing to represent the syllogism as the correct analysis of what the mind actually performs in discovering and proving the larger half of the truths, whether of science or of daily life, which we believe; while those who have avoided this inconsistency, and followed out the general theorem respecting the logical value of the syllogism to its legitimate corollary, have been led to impute uselessness and frivolity to the syllogistic theory itself, on the ground of the petitio principii which they allege to be inherent in every syllogism. ...
— Blackwood's Edinburgh Magazine, No. CCCXXXVI. October, 1843. Vol. LIV. • Various
... Professor died, Mrs. Whitland mourned him in all sincerity. She was also relieved. One-half of the burden which lay upon her had been lifted; the second half was wrestling with the binomial theorem at Cheltenham College. ...
— Bones in London • Edgar Wallace
... God lies behind this veil." The reality of Christ's nature is not to be proved by argument. He must be beheld. The manifestation of Him must "gravitate inwards" on the soul. It is by looking that one can know. As a mathematical theorem is to be proved only by the demonstration of that theorem itself, not by talking about it; so Christ must prove himself to the human soul through being beheld. The only proof of Christ's divinity is his humanity. Because his humanity is not ...
— A Dish Of Orts • George MacDonald
... simply because you show what would follow if you had the required knowledge. When the attempt is made, as it seems to me to be made sometimes, to deduce economical laws from some law of human desire—as from the simple theorem that equal increments of a commodity imply diminishing amounts of utility—I should reply not only that the numerical data are vaguely defined and incapable of being accurately stated, but that the attempt must be illusory because the conclusions are not determinable from the premisses. The ...
— Social Rights and Duties, Volume I (of 2) - Addresses to Ethical Societies • Sir Leslie Stephen
... Jimsy's own version of it. She always kept his letter for the last, childishly, on the nursery theorem of "First the worst, second the same, last the best of all ...
— Play the Game! • Ruth Comfort Mitchell
... 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, ...
— Atlantic Monthly, Volume 3, Issue 17, March, 1859 • Various
... Bergson points out to us a way. 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
... 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 did pain. This was the writing ...
— The Camp Fire Girls at School • Hildegard G. Frey
... 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 life, in surprise, and make ...
— The French Impressionists (1860-1900) • Camille Mauclair
... easy, and 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 ...
— Pioneers of Science • Oliver Lodge
... 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
... James never wrote a cook-book! It would have been lucid compared to this. To make of consistency to shape—what on earth does that mean?") (d) Clean and chop two chickens' livers, sprinkle with onion juice, and saute in butter—("No!" he cried, "that's eggs farci. Wrong theorem!") ...
— Kathleen • Christopher Morley
... work of imagination than Milton's Paradise Lost. But it spurns the tests of experimental science, and is entitled to rank only among the splendid curiosities of philosophy; a brilliant and plausible theorem, not a sober ...
— The Destiny of the Soul - A Critical History of the Doctrine of a Future Life • William Rounseville Alger
... and patience he referred me, in the course of my attempts to talk with him, to a theorem in NEWTON'S 'Principles of Natural Philosophy' in which the time that the light takes to travel from the sun is proved with a simplicity which requires but a few steps in reasoning. In talking of some inconceivably distant ...
— Sir William Herschel: His Life and Works • Edward Singleton Holden
... this is clearly impossible. The conclusion of a geometrical theorem is a truth for all time. There is no difference here between a complicated theorem, having many conditions, and a simpler theorem with fewer. It is indeed easier for a few than for many conditions to be all present together: but the enunciation of the ...
— Moral Philosophy • Joseph Rickaby, S. J.
... the century, either as complementary or as prolongations, range themselves. In pure mathematics we have the Infinitesimal Calculus discovered simultaneously by Leibnitz and Newton, mechanics reduced by d'Alembert to a single theorem, and that superb collection of theories which, elaborated by the Bernouillis, Euler, Clairaut, d'Alembert, Taylor and Maclaurin, is finally completed at the end of the century by Monge, Lagrange, and Laplace.[3102] In astronomy, the series of calculations and observations ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine
... 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 of all time. He was elected Lucasian Prof. of Mathematics at Camb. in 1669, and a Fellow of ...
— A Short Biographical Dictionary of English Literature • John W. Cousin
... much. 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 more thankful ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird
... first, three on a side, with the class walking slow behind him. I never was like that. I was sort of an epicure when it came to knowledge, tasting delicately here and there, and never greedy. Why, as far back as when I was studying algebra, I nobly refused to learn the binomial theorem. I just read it through once, hastily, like taking one sniff at a violet, and then let it alone. The other fellows fairly gorged themselves with it, but I ...
— At the Sign of the Jack O'Lantern • Myrtle Reed
... passages in no way make against Mr. Huxley's allusions to Dr. Whewell's writings in proof that, until the publication of the Origin of Species, the "main theorem" of this work had not dawned on any other mind, save that of Mr. Wallace. But these passages show, even more emphatically than total silence with regard to the principle of survival could have done, the real distance which at that time separated ...
— Darwin, and After Darwin (Vol. 1 and 3, of 3) • George John Romanes
... 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 simple faith ...
— The Missourian • Eugene P. (Eugene Percy) Lyle
... 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
... Thales. He applied a circle to the measurement of angles. Anaximander made geographical charts, which required considerable geometrical knowledge. Anaxagoras employed himself in prison in attempting to square the circle. Thales, as has been said, 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. Pythagoras discovered that of all figures having the same boundary, the circle among plane ...
— Beacon Lights of History, Volume III • John Lord
... thought to the positive, which is destined finally to prevail, by the universal recognition that all phaemomena without exception are governed by invariable laws, with which no volitions, either natural or supernatural, interfere. This general theorem is completed by the addition, that the theological mode of thought has three stages, Fetichism, Polytheism, and Monotheism: the successive transitions being prepared, and indeed caused, by the gradual uprising of the two rival modes of ...
— Auguste Comte and Positivism • John-Stuart Mill
... vapours are the same, deduced that [gamma]V^{2/3} (where [gamma] is the surface tension, and V the molecular volume of the liquid) causes all liquids to have the same temperature coefficients. This theorem was investigated by Sir W. Ramsay and J. Shields (Journ. Chem. Soc. 63, p. 1089; 65, p. 167), whose results have thrown considerable light on the subject of the molecular complexity of liquids. Ramsay and Shields suggested that there exists an equation for the ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various
... practically unnoticed. It is true that Darwin was buried in Westminster Abbey, but even in 1882, twenty-three years after the publication of the "Origin of Species," evolution was regarded as a somewhat dubious theorem which respectable people ...
— The History of the Fabian Society • Edward R. Pease
... of the algebraical expression sqrt(-1). I think that the original suggestion of perpendicular line came from some book (I do not remember clearly), and I worked it out in several instances pretty well, especially in De Moivre's Theorem. I had spoken of it in the preceding term to Mr Peacock and he encouraged me to work it out. The date at the end is 1820, January 21. When some time afterwards I spoke of it to Mr Hustler, he disapproved of my employing my time on such speculations. About the last day of January I returned ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy
... Morality, is an art; and therefore its Method must be that of Art in general. Now, Art from the major premiss, supplied by itself, viz. that the end is desirable, and from the theorem, lent by Science, of the combinations of circumstances by which the end can be reached, concludes that to secure this combination of circumstances is desirable; if it also appear practicable, it turns the theorem into a rule. Unless Science's report ...
— Analysis of Mr. Mill's System of Logic • William Stebbing
... with students remains certain, however much discount we allow on contemporary bills of reckoning. And the crowd was noisy. Men have always been ingenious in their ways of celebrating academical success. Pythagoras, for example, sacrificed an ox on solving the theorem numbered 47 in the first book of Euclid; and even to-day a Professor in his solitary lodge may be encouraged to believe now and then, from certain evidences in the sky, that the spirit of Pythagoras ...
— On the Art of Writing - Lectures delivered in the University of Cambridge 1913-1914 • Arthur Quiller-Couch
... object of this critical and learned preamble is to set forth the theorem that Easter is neither a date, a season, a festival, a holiday nor an occasion. What it is you shall find out if you follow in the ...
— Strictly Business • O. Henry
... 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 the rest ...
— Raftmates - A Story of the Great River • Kirk Munroe
... verses for nonsense. Reflection, however, has convinced me that yoga is not nonsense. One who has not studied the elements of Geometry or Algebra, cannot, however intelligent, hope to understand at once a Proposition of the Principia or the theorem of De Moivre. Failing to give the actual sense, I have contented myself with giving a ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 3 - Books 8, 9, 10, 11 and 12 • Unknown
... 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 should be reached. ...
— Her Father's Daughter • Gene Stratton-Porter
... for Goldfield. I ran a store and was a secret partner in a saloon that paid better than the store. I was in the game morning, noon, and night; it beat marching to class to recite Horace and fiddle with the binomial theorem, as it must for every man who counts for ...
— Over the Pass • Frederick Palmer
... Nothing. But if a philosophical doctrine be true, it does not follow that as it stands it is applicable to practical problems. For these a rule may have to be provided, which, although it may not be inconsistent with the scientific theorem, differs from it in form. The Devil is not an invention of priests for priestly purposes, nor is he merely a hypothesis to account for facts, but he has been forced upon us in order that we may be able to deal with them. Unless we act as though there were an enemy to be resisted and chained, ...
— Pages from a Journal with Other Papers • Mark Rutherford
... 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 ...
— The Blind Spot • Austin Hall and Homer Eon Flint
... 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
... to gather the facts, to record them, and to codify in bare formulae the results of inquiry. Doubtless every essential discovery is able to stand by itself; in what would an inventor profit, for example, by raising himself to the level of the artist? "For the theorem lucidity suffices; truth issues naked from ...
— Fabre, Poet of Science • Dr. G.V. (C.V.) Legros
... against the principle of culture; we only supervise it, and promulge along with it, as deep, perhaps a deeper, principle. As we have shown the New World including in itself the all-leveling aggregate of democracy, we show it also including the all-varied, all-permitting, all-free theorem of individuality, and erecting therefor a lofty and hitherto unoccupied framework or platform, broad enough for all, eligible to every farmer and mechanic—to the female equally with the male—a towering selfhood, not physically perfect only—not satisfied with the ...
— Complete Prose Works - Specimen Days and Collect, November Boughs and Goodbye My Fancy • Walt Whitman
... 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
... difficulty. And the fact that they have interested and given pleasure to man for untold ages is no doubt due in some measure to the appeal they make to the eye as well as to the brain. Sometimes an algebraical formula or theorem seems to give pleasure to the mathematician's eye, but it is probably only an intellectual pleasure. But there can be no doubt that in the case of certain geometrical problems, notably dissection or superposition puzzles, the aesthetic faculty in ...
— Amusements in Mathematics • Henry Ernest Dudeney
... whom geometry owes this magnificent theorem, had engraved on his tomb, as one of his proudest titles to fame, the generating spiral and its double, begotten of the unwinding of the thread. An inscription proclaimed, 'Eadem mutata resurgo: I rise again like unto myself.' Geometry would find it difficult to better ...
— The Life of the Spider • J. Henri Fabre
... no more doubt of the correctness of his reasoning, than a geometrician of the truth of a theorem in Euclid. ...
— The War Trail - The Hunt of the Wild Horse • Mayne Reid
... which he might have published with the same ease as he published one, is proof of malice in publishing that one. An inference to be drawn from proved facts or circumstances is something like a corollary drawn from a previously demonstrated theorem in mathematics. ...
— The Trial of Reuben Crandall, M.D. Charged with Publishing and Circulating Seditious and Incendiary Papers, &c. in the District of Columbia, with the Intent of Exciting Servile Insurrection. • Unknown
... This explanation however, is only true of a portion of the beliefs which we call superstitions. The demand for superstitious explanations depends upon psychophysiological tendencies of the human organism, the root of which is comprised in the affect which we call craving. This theorem I have tried to develop ...
— The Journal of Abnormal Psychology - Volume 10
... 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 ...
— The Art of Public Speaking • Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein
... probability. "The probability of a continuous variable is obtained by considering elementary independent domains of equal probability.... In the classic dynamics we use, to find these elementary domains, the theorem that two physical states of which one is the necessary effect of the other are equally probable. In a physical system if we represent by q one of the generalized coordinates and by p the corresponding momentum, according ...
— A Librarian's Open Shelf • Arthur E. Bostwick
... 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 ...
— Dream Life - A Fable Of The Seasons • Donald G. Mitchell |
