"Theorem" Quotes from Famous Books
 ... 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 my ...
— Little Masterpieces of American Wit and Humor - Volume I • Various
... 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 which, ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine
... of our hopes. To the ignorant, indeed, the word of promise is kept to the mind as well as to the ear; but others perceive that, instead of a bull, they have only a piece of sentimental arithmetic, founded upon the elegant theorem, that friendship doubles all our pleasures, and divides ...
— Tales and Novels, Vol. IV • Maria Edgeworth
... '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 ...
— Form and Function - A Contribution to the History of Animal Morphology • E. S. (Edward Stuart) Russell
... 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 ...
— The New Physics and Its Evolution • Lucien Poincare
... confirmed by many others, I have deduced the following theorem:—"Champagne, though at first exhilarating, ultimately produces stupefying effects;" a result, moreover, which is a well-known characteristic of the ...
— Library Of The World's Best Literature, Ancient And Modern, Vol 6 • Various
... he 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 ...
— Raftmates - A Story of the Great River • Kirk Munroe
... pride, must consent to lower its bold pretension of claiming assent a priori and depend for assent to the universality of its propositions on the kindness of observers, who, when called as witnesses, would surely not hesitate to admit that what the geometer propounds as a theorem they have always perceived to be the fact, and, consequently, although it be not necessarily true, yet they would permit us to expect it to be true in the future. In this manner Hume's empiricism leads inevitably to scepticism, even with regard to mathematics, and consequently ...
— The Critique of Practical Reason • Immanuel Kant
... believes 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 ...
— The French Impressionists (1860-1900) • Camille Mauclair
... 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 proved. It is admitted that to some psychical states of ...
— Bergson and His Philosophy • J. Alexander Gunn
... 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 ...
— The Complete Plays of Gilbert and Sullivan - The 14 Gilbert And Sullivan Plays • William Schwenk Gilbert and Arthur Sullivan
... 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 ...
— The Warriors • Lindsay, Anna Robertson Brown
... nurses dandle them They crow binomial theorem, With views (it seems absurd to us) On ...
— More Bab Ballads • W. S. Gilbert
... 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 ...
— Innocents abroad • Mark Twain
... not this the history of all highest Truth that comes or ever came into the world? The body of them all is imperfection, an element of light in darkness: to us they have to come embodied in mere Logic, in some merely scientific Theorem of the Universe; which cannot be complete; which cannot but be found, one day, incomplete, erroneous, and so die and disappear. The body of all Truth dies; and yet in all, I say, there is a soul which never dies; which in new and ever-nobler embodiment lives immortal ...
— Sacred Books of the East • Various
... 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 ...
— Beacon Lights of History, Volume III • John Lord
... of Andrew Wiles' proof of the theorem known as "Fermat's Last Theorem" stated 350 years ago—but unproven until this week (February, 1993). [Fermat's thoughts on primes did not fare so well, however. A prime number is an integer, which is evenly integer divisible only by ...
— The 32nd Mersenne Prime • David Slowinski
... angles, [49] and that the square of the hypothenuse of 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 ...
— Lives of the Necromancers • William Godwin
... to what you already know you will agree 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 ...
— The Art of Public Speaking • Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein
... 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 ...
— Auguste Comte and Positivism • John-Stuart Mill
... 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 didn't—I had ...
— At the Sign of the Jack O'Lantern • Myrtle Reed
... 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 ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper
... determination and decision." Having thus concluded he descended from the desk, and delivered the tunic, the robe, and the cap, to the third, who mounting into the desk began as follows: "How little qualified is a youth like myself for the investigation of so sublime a theorem! I appeal to the learned who are here seated at the sides of the gymnasium; I appeal to you wise ones in the orchestra; yea, I appeal to the angels of the highest heaven, whether any person, from his own rational light, is able to form any idea concerning the soul; nevertheless I, like others, ...
— The Delights of Wisdom Pertaining to Conjugial Love • Emanuel Swedenborg
... Bertrand has used a Raton—much as, till the sound of the last trumpet, men very much worse than Victor de Mauleon will use men very much better than Armand Monnier, if the Armand Monniers disdain the modesty of an Isaac Newton on hearing that a theorem to which he had given all the strength of his patient intellect was disputed: "It may be so;" meaning, I suppose, that it requires a large amount of experience ascertained before a man of much knowledge becomes that which a man of little knowledge is ...
— The Parisians, Complete • Edward Bulwer-Lytton
... 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 ...
— Imaginary Portraits • Walter Pater
... 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 ...
— Aratra Pentelici, Seven Lectures on the Elements of Sculpture - Given before the University of Oxford in Michaelmas Term, 1870 • John Ruskin
... has departed from the century-old custom of writing in parallel columns each theorem and its dual. He has not found that it conduces to sharpness of vision to try to focus his eyes on two things at once. Those who prefer the usual method of procedure can, of course, develop the two sets of theorems side by side; the author has not ...
— An Elementary Course in Synthetic Projective Geometry • Lehmer, Derrick Norman
... 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 ago that the bones of the slain were ...
— Old Ticonderoga, A Picture of The Past - (From: "The Snow Image and Other Twice-Told Tales") • Nathaniel Hawthorne
... as having no real meaning, 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, and spectroscopes. ...
— Architecture and Democracy • Claude Fayette Bragdon
... scientific laws. The carpenter who misapplies his formulae for the strength of materials, builds a house which falls down. The properties of the various mechanical powers are involved in every machine. Every machine, indeed, it has been well said, is a solidified mechanical theorem. The surveyor in determining the limits of one's farm, the architect in planning a house, the builder in planning his estimates, and the several master workmen who do the carpentry, masonry, and finishing, are all dependent upon ...
— In the School-Room - Chapters in the Philosophy of Education • John S. Hart
... departments drew him into investigations whose results 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. ...
— Library of the World's Best Literature, Ancient and Modern — Volume 11 • Various
... "and after agreeing that Miss Theorem the mathematician was charming; Miss Quartz the geologist lovely; that Miss Affectation was very piquante, and Mrs. Youngwidow exceedingly fine-looking in her mourning; after having amicably interchanged our ideas on these ...
— The Youth of Jefferson - A Chronicle of College Scrapes at Williamsburg, in Virginia, A.D. 1764 • Anonymous
... in all the years of the lonely colorless infancy, childhood, and budding womanhood! The old bookworm clung to the papers as if that "documentary evidence" was an absolute guaranty, and he held it ready to proffer in support of his theorem. His toughened heart-strings were silent at natural affection's touch, and only twanged to the never-dying greed ...
— A Fascinating Traitor • Richard Henry Savage
... 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
... superhuman creature; and, indeed, "Caleb Williams" may well be compared on one side with "Les Miserables," for Victor Hugo's avowed purpose, likewise, was the denunciation of social tyranny. But the characteristics that would have weakened the implied theorem, had such been the main object, are the very things that make the novel more powerful as drama of a grandiose, spiritual kind. The high and concentrated imagination that created such a being as Falkland, and the intensity of passion with which Caleb's fatal energy of mind is ...
— Caleb Williams - Things As They Are • William Godwin
... read 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
... heart for the quiet Martha. Pearl had 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 ...
— The Second Chance • Nellie L. McClung
... 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 rising of the sun does not constitute time; for ...
— The Life and Genius of Nathaniel Hawthorne • Frank Preston Stearns
... 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 ...
— Critical Miscellanies, Vol. I - Essay 2: Carlyle • John Morley
... following out the method of the abstract science into minuter details; inserting among its hypotheses a fresh and still more complex combination of circumstances, and so adding pro hac vice a supplementary chapter or appendix, or at least a supplementary theorem, to the ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill
... his assertion of the sanctity of the international bond of labor, stands his assertion of a sacred right in property and that capital is a necessity.(5) His internationalism was ethical, not opportunistic. It grew, as all his ideas grew, not out of a theorem, not from a constitutional interpretation, but from his overpowering commiseration for the mass of mankind. It was a practical matter. Here were poor people to be assisted, to be enriched in their estate, to be enlarged in spirit. The mode of reaching the result was not the ...
— Lincoln • Nathaniel Wright Stephenson
... article which showed some appreciation of the event. But in the monthly reviews it passed 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 were wise ...
— The History of the Fabian Society • Edward R. Pease
... 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 ...
— Pioneers of Science • Oliver Lodge
... 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 ...
— Analysis of Mr. Mill's System of Logic • William Stebbing
... 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 will we have war and governmental stupidity, and all ...
— Child and Country - A Book of the Younger Generation • Will Levington Comfort
... Bacon. The discoveries of Newton are scarcely without a parallel, and he is generally regarded as the greatest mathematical intellect that England has produced. To him the world is indebted for the binomial theorem, discovered at the age of twenty-two; for the invention of fluxions; for the demonstration of the law of gravitation; and for the discovery of the different refrangibility of rays of light. His treatise on Optics and his Principia, in which he brought to light the new theory of the universe, ...
— A Modern History, From the Time of Luther to the Fall of Napoleon - For the Use of Schools and Colleges • John Lord
... 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 that ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird
... mournfulness: and the reader who turns from these magnificent samples to the complete play must expect to find yet another and a yet unknown masterpiece of English tragedy. He will find a crowning example of the famous theorem, that "the plot is of no use except to bring in the fine things." The plot is in this instance absurd to a degree so far beyond the most preposterous conception of confused and distracting extravagance that the reader's attention may at times be withdrawn from ...
— The Age of Shakespeare • Algernon Charles Swinburne
... 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, and ...
— Decline of Science in England • Charles Babbage
... 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 call to mind how Timaeus ...
— Essays and Miscellanies - The Complete Works Volume 3 • Plutarch
... mind! Come, it's time for me to learn my lessons. See here what I've got to do," Tom went on, drawing Maggie towards him, and showing her his theorem, while she pushed her hair behind her ears, and prepared herself to ...
— Tom and Maggie Tulliver • Anonymous
... the heart of my theorem. Ever since Hamilton's time, it has been assumed as axiomatic, by conservative Americans, that courts whose function is to expound a written constitution can and do act as a "barrier to the encroachments and oppressions of the representative ...
— The Theory of Social Revolutions • Brooks Adams
... ISAAC (1642-1727).—Natural philosopher, 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
... 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
... states that a commercial 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
... 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 happiness? If my own happiness lies in something else, why may ...
— Utilitarianism • John Stuart Mill
... Theorem," she said, and called her mate, "Sweet Theorem, be with me at this hour. How oft together in a dear debate We two bore witness to our Sovereign's power. But he is dead and henceforth all our days Are wrapped in gloom, And ...
— The Vagabond and Other Poems from Punch • R. C. Lehmann
... these 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 ...
— Darwin, and After Darwin (Vol. 1 and 3, of 3) • George John Romanes
... morning, thinking over the problem of finding two squares whose sum is a square, I chanced on a theorem (which seems true, though I cannot prove it), that if x squared y squared be even, its half is the sum of two squares. A kindred theorem, that 2(x squared y squared) is always the sum of two squares, also ...
— The Life and Letters of Lewis Carroll • Stuart Dodgson Collingwood
... that," replied the editor, as though he meant to guard himself against too literal or practical an application of the theorem. ...
— Our Friend the Charlatan • George Gissing
... food for the mind, mental pabulum. subject, subject matter; matter, theme, [Grk], topic, what it is about, thesis, text, business, affair, matter in hand, argument; motion, resolution; head, chapter; case, point; proposition, theorem; field of inquiry; moot point, problem &c. (question) 461. V. float in the mind , pass in the mind &c. 451. Adj. thought of; uppermost in the mind; in petto. Adv. under consideration; in question, in the mind; on foot, on the carpet, on the docket, ...
— Roget's Thesaurus
... 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 ...
— The Hindu-Arabic Numerals • David Eugene Smith
... me, what Mr. Philip said, because it isn't true." She wagged a pedagogic finger at herself. "See here! Think of it in terms of Euclid. If you do a faulty proof by superposition and haven't remembered the theorem rightly, you can go on saying, 'Lay AB along DE' till all's blue and you'll never make C coincide with F. In the same way Mr. Philip can blether to his silly heart's content and he'll never prove that I'm a bold girl. Me, Ellen Melville, who cares for ...
— The Judge • Rebecca West
... 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 ...
— The Missourian • Eugene P. (Eugene Percy) Lyle
... authority of the Apostles, p. 11, 14; see Texte u Unters VII. 2 p. 61 ff.). Gnosticism here as frequently elsewhere is related to common Christianity as excess progressing to the invention of a myth with a tendency to a historical theorem determined by the effort to maintain one's own position; cf. the article from the kerygma of Peter in Clem. Strom. VI. 6, 48 [Greek: Exelexamen humas dodeka mathetas, k.t.l.] the introduction to the basal writing of the first 6 books of the Apostolic Constitutions ...
— History of Dogma, Volume 1 (of 7) • Adolph Harnack
... 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 ...
— The Subjection of Women • John Stuart Mill
... said, and called her mate, "Sweet Theorem, be with me at this hour. How oft together in a dear debate We two bore witness to our Sovereign's power. But he is dead and henceforth all our days Are wrapped in gloom, And we who never ceased ...
— The Vagabond and Other Poems from Punch • R. C. Lehmann
... 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 never admit it into doubt, or ...
— A Treatise Concerning the Principles of Human Knowledge • George Berkeley
... powerful process of thought than Aristotle's Organon, a more pure and daring 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 and ...
— The Destiny of the Soul - A Critical History of the Doctrine of a Future Life • William Rounseville Alger
... simple continued fractions to the theory of numbers, as, for example, to prove the theorem that a divisor of the sum of two squares is itself the sum of two squares, may be found in J. ...
— Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2 - "Constantine Pavlovich" to "Convention" • Various
... 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. ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy
... gift for every moment and sensation of which, were it even the sight of a single leaf hanging on the twig of a tree, his soul should praise and thank the Giver. The world for all its solid substance and complexity no longer existed for his soul save as a theorem of divine power and love and universality. So entire and unquestionable was this sense of the divine meaning in all nature granted to his soul that he could scarcely understand why it was in any way necessary that he should continue to live. ...
— A Portrait of the Artist as a Young Man • James Joyce
... Charleston throughout the month of March. The casual observer would have said that she was "playing him up," as a young poet of my acquaintance puts it; but I was not casual. For me Vaness had the attraction of a theorem, and I was looking rather deeply into him ...
— The Best British Short Stories of 1922 • Edward J. O'Brien and John Cournos, editors
... 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 in the users ...
— Sermons on Evil-Speaking • Isaac Barrow
... 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 ...
— Logic - Deductive and Inductive • Carveth Read
... Dawn? How if it never break? How if this West by other Wests is pierced. And these by vacant Wests and Wests increased— One pain of space, with hollow ache on ache, Throbbing and ceasing not for Christ's own sake? Big, perilous theorem, hard for king and priest; 'Pursue the West but long enough, 'tis East!' Oh, if this watery world no turning take; Oh, if for all my logic, all my dreams, Provings of that which is by that which seems, Fears, hopes, chills, heats, hastes, patiences, droughts, tears, Wife-grievings, ...
— Christopher Columbus and His Monument Columbia • Various
... 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 ...
— The Bishop of Cottontown - A Story of the Southern Cotton Mills • John Trotwood Moore
... Dawn? How if it never break? How if this West by other Wests is pieced, And these by vacant Wests on Wests increased — One Pain of Space, with hollow ache on ache Throbbing and ceasing not for Christ's own sake? — Big perilous theorem, hard for king and priest: 'Pursue the West but long enough, 'tis East!' Oh, if this watery world no turning take! Oh, if for all my logic, all my dreams, Provings of that which is by that which seems, Fears, hopes, chills, heats, hastes, patiences, droughts, tears, ...
— The Poems of Sidney Lanier • Sidney Lanier
... 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 ...
— The English Utilitarians, Volume I. • Leslie Stephen
... 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 ...
— The Morals of Marcus Ordeyne • William J. Locke
... who arranged his planes like slats in a Venetian blind and 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 ...
— Aircraft and Submarines - The Story of the Invention, Development, and Present-Day - Uses of War's Newest Weapons • Willis J. Abbot
... really follow can be got out of premisses, 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 ...
— Social Rights and Duties, Volume I (of 2) - Addresses to Ethical Societies • Sir Leslie Stephen
... balancing his precious judgment on a doubt. He was not too sure, but that this frank, clear, virtuous girl could read him through. Sometimes he felt uncomfortable. Just now, he felt as dogged as any ambitious school-boy ever did over an obstinate theorem in Euclid—here was a problem—there were all the rules for its clear solution, yet the answer never would come right. Perhaps he was preparing for another attempt, as he drew his chair closer to her and looked into her face, ...
— Honor Edgeworth • Vera
... differences of 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 we were one with nature," ...
— The Approach to Philosophy • Ralph Barton Perry
... 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 ...
— The Queen Pedauque • Anatole France
... the 'Edinburgh Register' will find the rest of the theorem hard by his stabling; he has only to cross the river; 'tis the first turnpike ...
— Byron's Poetical Works, Vol. 1 • Byron
... of papers belonging to systematic collectors than amongst the papers of mere 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 improved solution." ...
— Notes & Queries, No. 9, Saturday, December 29, 1849 • 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 ...
— Uarda • Georg Ebers
... serious propositions or assertions of Mr. Whistler. How far the witty tongue may be thrust into the smiling cheek when the lecturer pauses to take breath between these remarkably brief paragraphs it would be certainly indecorous and possibly superfluous to inquire. But his theorem is unquestionably calculated to provoke the loudest and the heartiest mirth that ever acclaimed the advent of Momus or Erycina. For it is this—that [38]"Art and Joy go together," and that[39] tragic art ...
— The Gentle Art of Making Enemies • James McNeill Whistler
... 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 ...
— Moral Philosophy • Joseph Rickaby, S. J.
... completely points the lesson which he intended it to convey. For the Palace of Fine Arts is a sermon in itself. In it old Roman models have been used to elaborate a California text. Its structure and setting are the demonstration of a theorem,— the finished word of the preachment of a lifetime. The Exposition gave the preacher his opportunity. Bernard Maybeck, the Berkeley architect, had long been telling California that architecture here, to be beautiful, needed only to be an ...
— The Jewel City • Ben Macomber
... 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
... 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 ...
— The Unexpurgated Case Against Woman Suffrage • Almroth E. Wright
... pli...des pli. Theatre teatro. Theatrical teatra. Theft sxtelo. Their, theirs ilia, sia. Them ilin. Theme temo. Then tiam. Then (after that) poste. Then (therefore) do. Theologian teologisto. Theology teologio. Theorem teoremo. Theory teorio. Theoretic teoria. Therapeutics kuracarto. There (adverb) tie. There is jen estas, estas. There are jen estas, estas. Therefore tial. Thermometer termometro. Thesis tezo. They ili. Thick dika. Thick ...
— English-Esperanto Dictionary • John Charles O'Connor and Charles Frederic Hayes
... entrance into a room is as though another candle had been lighted. We need not care whether they could prove the forty-seventh proposition; they do a better thing than that, they practically demonstrate the great Theorem of the Liveableness of Life. Consequently, if a person cannot be happy without remaining idle, idle he should remain. It is a revolutionary precept; but thanks to hunger and the workhouse, one not easily to be abused; and within practical limits, it is one of the most incontestable truths ...
— Virginibus Puerisque • Robert Louis Stevenson
... 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 man contributes to the delight. For ...
— Amusements in Mathematics • Henry Ernest Dudeney
... conclusions which have been correctly drawn from a set of premisses. All that happens is that the conclusion is no longer asserted by itself as a truth; what is asserted is that the conclusion is true if the premisses are true. Thus we no longer assert the 'theorem of Pythagoras' as a categorical proposition; what we assert is that the theorem follows as a consequence from the assertion of some half-dozen ultimate postulates which will be found on analysis to be the premisses of Euclid's proof of his ...
— Recent Developments in European Thought • Various
... overtake me, and I have looked at conduct founded upon exceptional principles with the eyes of the ordinary man. I should have been ascetic to the end; contemplation ought to have been enough for me, especially now, when the hair begins to whiten. But, after all, I am a man, and not a theorem. A system cannot suffer, but I suffer. Logic makes only one demand—that of consequence; but life makes a thousand; the body wants health, the imagination cries out for beauty, and the heart for love; pride asks for consideration, the soul yearns for peace, the conscience ...
— Amiel's Journal • Mrs. Humphry Ward
... 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 the feelings of her adored daughter. Then, when the adored daughter herself marries, the ...
— Play-Making - A Manual of Craftsmanship • William Archer
... He preserves an air of cold superiority, a certain philosophical serenity, which is perfectly marvellous. He treats every question as an abstract question, begins with the widest propositions, argues those propositions on general grounds, and often, when he has brought out his theorem, leaves the reader to make the application, without adding an allusion to particular men, or to passing events. This speculative turn of mind rendered him a bad adviser in cases which required celerity. He brought forward, with wonderful readiness and copiousness, arguments, replies to ...
— Critical and Historical Essays Volume 1 • Thomas Babington Macaulay
... 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 ...
— The Spinster Book • Myrtle Reed
... complete absence of emotional reaction. If he went to the theater, 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.[1] ...
— Human Traits and their Social Significance • Irwin Edman
... 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 a cheerful pessimist. He thought it quite possible that ...
— South Wind • Norman Douglas
... years: and has a large number of children about whom he says nothing, "because he has not observed in them anything worth speaking about." The courtships are varied between abrupt embraces soon after introduction, and discussions on Hebrew, Babel, "Christian-deism," and the binomial theorem. In the most inhospitable deserts, his man or boy[10] is invariably able to produce from his wallet "ham, tongue, potted blackcock, and a pint of cyder," while in more favourable circumstances Buncle takes his ease in his inn by consuming "a pound of steak, a quart of green peas, ...
— The English Novel • George Saintsbury
... geometrical diagrams. The pavements run in parallel lines, the houses are rectilineal, the gardens are squares or oblongs; if by chance the land sprawls in billocks and hollows, nevertheless is it partitioned in rigid lines. The architecture is equally austere. The very curves demonstrate the theorem that a curve is made up of little straight lines, the arches are stiff and unbending, and wherever a public building demands an ornament, a fir-shaped cone of straight lines rises in stoic severity. In vain one seeks for a refuge from Euclid—for ...
— Without Prejudice • Israel Zangwill
... that you are loved," said the Girton Girl, "is only the beginning of the theorem—its proposition, so ...
— Tea-table Talk • Jerome K. Jerome
... and 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
... from 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 faulty conditions of the present, ...
— Appreciations, with an Essay on Style • Walter Horatio Pater
... formation, of periodic changes, and of psychical instincts, are strongly corroborative of this evidence, and would of themselves lead to the deduction of such identity. Upon the whole, we consider the merits of the work before us to consist, not in the demonstration of a theorem, but in presenting to the reader a compendious record of physical, historical, and psychological facts and relations. Viewed in this light, it is an interesting contribution to ethnology; while the size of the book, the pictorial illustrations, and the absence of unnecessary technicality, make it ...
— Blackwood's Edinburgh Magazine, Volume 56, Number 347, September, 1844 • Various
... stirred up with his definition, and then go away and leave me dangling in the air. If he were here I'd ask him a few pointed questions. I'd ask him to tell me just how the fact that seven times nine is sixty-three is connected up with complete living. I'd want him to explain, too, what the binomial theorem has to do with complete living, and also the dative of reference. I got the notion, when I was struggling with that binomial theorem, that it would ultimately lead on to fame or fortune; but it hasn't done either, so far as I can ...
— Reveries of a Schoolmaster • Francis B. Pearson
... 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 ...
— The Life of the Spider • J. Henri Fabre
... exactly 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 ...
— Atlantic Monthly, Volume 6, Issue 35, September, 1860 • Various
... or any else, that can make mee entertaine the least thought of the signification of Dulcarnon to be Pythagorus his sacrifice after his geometricall theorem in finding the square of an orthogonall triangle's sides, or that it is a word of Latine deduction: but, indeed, by easier pronunciation it was made of D'hulkarnyan[5], i.e. two-horned which the Mahometan Arabians {109} vie for a root in calculation, meaning Alexander, as that great dictator ...
— Notes & Queries, No. 37. Saturday, July 13, 1850 • Various
... their effects, though not a quantitative one. But we know more. We read of weights in the earliest records; and we find weights in ruins of the highest antiquity. Weights imply scales, of which we have also mention; and scales involve the primary theorem of mechanics in its least complicated form—involve not a qualitative but a quantitative prevision of mechanical effects. And here we may notice how mechanics, in common with the other exact sciences, took its rise from the simplest application ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer
... projected, or even imparted, to material objects. Thus the whole force of a man must have the property of reacting on other men, and of infusing into them an essence foreign to their own, if they could not protect themselves against such an aggression. The evidence of this theorem of the science of humanity is, of course, very multifarious; but there is nothing to establish it beyond question. We have only the notorious disaster of Marius and his harangue to the Cimbrian commanded to kill him, or the ...
— Louis Lambert • Honore de Balzac
... subjects seemed to have little or no relation to the other; each was kept in 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 |
