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Geometry   Listen
noun
Geometry  n.  (pl. geometries)  
1.
That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.
2.
A treatise on this science.
Analytical geometry, or Coördinate geometry, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes.
Descriptive geometry, that part of geometry which treats of the graphic solution of all problems involving three dimensions.
Elementary geometry, that part of geometry which treats of the simple properties of straight lines, circles, plane surface, solids bounded by plane surfaces, the sphere, the cylinder, and the right cone.
Higher geometry, that pert of geometry which treats of those properties of straight lines, circles, etc., which are less simple in their relations, and of curves and surfaces of the second and higher degrees.






Collaborative International Dictionary of English 0.48








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"Geometry" Quotes from Famous Books



... Siege-furniture, along with them; 'lest Don Blas have trophies,' thinks poor Wentworth. And sailed away, with their sad Siege finished in such fashion. Strenuous Siege; which, had the War-Sciences been foolishness, and the Laws of Nature and the rigors of Arithmetic and Geometry been stretchable entities, might have succeeded better!" [Smollett's Account, Miscellaneous Works (Edinburgh, 1806), iv. 445-469, is that of a highly intelligent Eye-witness, credible and ...
— History of Friedrich II. of Prussia, Vol. XII. (of XXI.) • Thomas Carlyle

... joyously. "Why, they're my forte—-I am quite at home in arithmetic, algebra, and geometry. Please ask me ...
— Tales of Bengal • S. B. Banerjea

... the University of Glasgow 13th July, 1577, in the minority of James VI, made provision for the appointment of three Regents, or Professors, along with the Principal. The first Regent was required to teach Rhetoric and Greek, the second Logic, Ethics, and the principles of Arithmetic and Geometry, and the third, who was also sub principal, Physiology, Geography, Astrology, and Chronology (See Copy of the Nova Erectio in Evidence for University Commissioners for Scotland vol. 8. p. 241 London, 1837). In the year 1581, the Archbishop of Glasgow gifted to the ...
— The Works of the Rev. Hugh Binning • Hugh Binning

... of my ignorance in figures, which I had twice failed in learning when at school, I took Cocker's book of arithmetic, and went through the whole by myself with great ease. I also read Seller's and Shermy's books of navigation, and became acquainted with the little geometry they contain; but never proceeded far in that science. And I read about this time Locke On Human Understanding, and the Art of Thinking, by Messrs. du ...
— Children's Literature - A Textbook of Sources for Teachers and Teacher-Training Classes • Charles Madison Curry

... ill built, the walls bevil, without one right angle in any apartment; and this defect arises from the contempt they bear to practical geometry, which they despise as vulgar and mechanic; those instructions they give being too refined for the intellects of their workmen, which occasions perpetual mistakes. And although they are dexterous enough upon ...
— Gulliver's Travels - into several remote nations of the world • Jonathan Swift

... have is qualitatively different from the sensation which I had from the spot in its original position. My world of experience thus far has been a purely qualitative one. I might go on to eternity having experiences of the same kind, and never dream of space, or geometry, nor should I have the unique experience of a geometrical illusion, either optical or tactual. Now suppose I set up the bodily movements of the eyes or the head, or of the whole body, which are necessary to follow the path of that point, until I overtake it and once more restore the quality of ...
— Harvard Psychological Studies, Volume 1 • Various

... shinbones, that the final purpose of such boys (one of whom lately had the audacity nearly to ride down the Duke of Wellington) seems to be— not the translation of mutton, which would certainly find its way into human mouths even if riding boys were not,—but the improved geometry of transcendental curves. They ought to be numbered, ought these boys, and to wear badges—X 10, &c. And exactly the same evil, asking therefore by implication for exactly the same remedy, affects the Comets. A respectable planet is known everywhere, and responsible for any ...
— Narrative And Miscellaneous Papers • Thomas De Quincey

... experiments offers a rare example of the verification of algebraic calculation by direct demonstration. In general, we may employ geometry, which gives a graphic representation of calculation and furnishes a valuable control. Sometimes we have practical application, which is a very important verification in some respects, but only approximate in others. But it is rare that we employ, as Mr. Bjerknes has done, a material, ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various

... assisted by the works of his predecessors. The probability is, that in all great works their authors assimilate an amount of information current in the age, as well as create new material. This was probably the case even in works like Euclid's Geometry and Aristotle's ...
— History of Free Thought in Reference to The Christian Religion • Adam Storey Farrar

... instruction is three hundred and one; they are cleanly and comfortably lodged, and well-boarded; their ages average from ten to fourteen and a half, and the upper classes of the school are taught conic sections, geometry, chemistry, natural philosophy, navigation, astronomy, mechanics, physical ...
— Lands of the Slave and the Free - Cuba, The United States, and Canada • Henry A. Murray

... which they overshot, and were, actually, only a multiplication of the square or the cube of the same geometrical figure. Hence they complicated the whole effect, without disturbing it; completed, without overloading it. Geometry is harmony. Some fine mansions here and there made magnificent outlines against the picturesque attics of the left bank. The house of Nevers, the house of Rome, the house of Reims, which have disappeared; the Hotel de Cluny, which still exists, for the consolation of the artist, and whose ...
— Notre-Dame de Paris - The Hunchback of Notre Dame • Victor Hugo

... master work, says wisdom, consists alone in your keeping your spirit disciplined and learned, and making it a skilled worker or artist, to give it knowledge of what material, as well as in what number, weight and measure [Surveying, geometry.] to make this pure key, which [material] is the bright pure divinity in the number three, the mighty in truth.... It is distinguished as a surpassingly mighty glory and lordliness which sits in a circle of heaven within the hearts of men. ...
— Hidden Symbolism of Alchemy and the Occult Arts • Herbert Silberer

... the general action, or, to use his own expression, that they would be figures to be let. Besides, it is impossible for a picture composed of so many parts to have that effect, so indispensably necessary to grandeur, of one complete whole. However contradictory it may be in geometry, it is true in taste, that many little things will not make a great one. The sublime impresses the mind at once with one great idea; it is a single blow: the elegant indeed may be produced by a repetition, by an accumulation ...
— Seven Discourses on Art • Joshua Reynolds

... poetry and philosophy he had small aptitude, and in science he had no training. What books he read he seemed to digest and get the pith of. Once, made suddenly conscious by defeat of his lack of book-culture, he took up Euclid's geometry, and resolutely studied and re-studied it. Doubtless that helped him in the close logic which often characterized his speeches. The strength of his speeches lay in their logic, their close regard to fact, their adaptation to the plain people of whom ...
— The Negro and the Nation - A History of American Slavery and Enfranchisement • George S. Merriam

... future civil engineer, for example, must conform to college entrance standards and involves an amount of study that is quite unnecessary for the boy whose aim is to become a carpenter or machinist. The first needs a thorough course in algebra, geometry, and trigonometry; the second needs industrial arithmetic, with only such applications of higher mathematics as may be of use to him in his trade. The same principle holds with respect ...
— Wage Earning and Education • R. R. Lutz

... LXIII. L. 1-8 are in the middle of the page; 1. 9-14 to the right below; 1. 15-22 below in the middle column. The rest of the text is below the sketches on the left. There are some other passages on this page relating to geometry.] ...
— The Notebooks of Leonardo Da Vinci, Complete • Leonardo Da Vinci

... experience," and again, "The character of necessity ascribed to the truths of Mathematics and even, with some reservations to be hereafter made, the peculiar certainty attributed to them is an illusion." "In the case of the definitions of Geometry there exist no real things exactly conformable to the definitions." Again Taine, "Les images sont les exactes reproductions de la sensation." Again Diderot, "Pour imaginer il faut colorer un fond et detacher de ce fait des points en leur supposant ...
— Essays Towards a Theory of Knowledge • Alexander Philip

... summoned by his father or the first lieutenant, but he encountered neither; they seemed to have forgotten his existence. So he read below a great deal of light, cheerful, edifying matter upon navigation—good yawning stuff, with plenty of geometry in it and mathematical calculations, seeing little of his messmates, who were on ...
— Syd Belton - The Boy who would not go to Sea • George Manville Fenn

... wished him specially to follow, but he was eager too to learn Greek, which had lately been introduced into the University, and to improve his Latin style. He also wrote verses, as was beginning to be the fashion with young men, and worked out problems in arithmetic and geometry, while, after his regular work was done, he would carry a French or Latin chronicle to his small window, and pore over the history of bygone times. In his spare moments he would play some old music on the flute or practise on ...
— The Red Book of Heroes • Leonora Blanche Lang

... to me to fall in with those who carried it on. Scenes of swaggering riot and roaring dissipation were, till this time, new to me: but I was no enemy to social life. Here, though I learned to fill my glass, and to mix without fear in a drunken squabble, yet I went on with a high hand with my geometry, till the sun entered Virgo, a month which is always a carnival in my bosom, when a charming fillette, who lived next door to the school, overset my trigonometry, and set me off at a tangent from the spheres of my studies. I, however, struggled on with my sines and cosines for a few days more; but ...
— The Letters of Robert Burns • Robert Burns

... it is not equally pure in all places. They had never so much as heard of the names of any of those philosophers that are so famous in these parts of the world, before we went among them; and yet they had made the same discoveries as the Greeks, both in music, logic, arithmetic, and geometry. But as they are almost in everything equal to the ancient philosophers, so they far exceed our modern logicians; for they have never yet fallen upon the barbarous niceties that our youth are forced to learn ...
— Ideal Commonwealths • Various

... Shuffles do it—in a yacht, with no Latin and geometry to bother their heads, and no decks to wash down on a ...
— Up The Baltic - Young America in Norway, Sweden, and Denmark • Oliver Optic

... chemistry, or to pursue them in their most interesting relations to the economy of Nature, ought to be well-grounded in elementary mathematics; he will oftener have to refer to arithmetic than algebra, and to algebra than to geometry. But all these sciences lend their aid to chemistry; arithmetic, in determining the proportions of analytical results and the relative weights of the elements of bodies; algebra, in ascertaining ...
— Consolations in Travel - or, the Last Days of a Philosopher • Humphrey Davy

... concrete reality, we find no proposition ever regarded by any one as evidently certain that has not either been called a falsehood, or at least had its truth sincerely questioned by some one else. The transcending of the axioms of geometry, not in play but in earnest, by certain of our contemporaries (as Zoellner and Charles H. Hinton), and the rejection of the whole Aristotelian logic by the Hegelians, are striking instances ...
— The Will to Believe - and Other Essays in Popular Philosophy • William James

... live. His friend Dr Record had been to see him in the prison, whom he describes as "Doctor of Physic, singularly seen [very skilful] in all the Seven Sciences [Grammar, Rhetoric, Logic, Arithmetic, Geometry, Music, and Astronomy], and a great devyne." Mr Rose took his deprivation very quietly. Some of his friends thought he might be all the safer for it, if the persecutors had done all they cared about doing to him. He had hired ...
— Robin Tremain - A Story of the Marian Persecution • Emily Sarah Holt

... example, are "the capacity to form ideal conceptions of space and time, of eternity and infinity; the capacity for intense artistic feelings of pleasure in form, colour, and composition; and for those abstract notions of form and number which render geometry and arithmetic possible." "How," he asks, "were all or any of these faculties first developed, when they could have been of no possible use to man in ...
— Critiques and Addresses • Thomas Henry Huxley

... instruct the Lord Treasurer Weston's son in arithmetick, astronomy upon the globes, and their uses. He was a person very studious, laborious, of good apprehension, and had by his own industry obtained both in astrology, physick, arithmetick, astronomy, geometry and algebra, singular judgment: he would in astrology resolve horary questions very soundly; but was ever diffident of his own abilities: he was exquisitely skilful in the art of directions upon nativities, and had a good genius in performing ...
— William Lilly's History of His Life and Times - From the Year 1602 to 1681 • William Lilly

... learning are given him and teachers provided to instruct him. He is educated in the industrial arts on the one hand, and not only in the rudiments but in the liberal arts on the other. Beyond the three r's he is instructed in geography, grammar, and history; he is taught drawing, algebra and geometry, music and astronomy and receives lessons in physiology, botany, and entomology. Matrons wait on him while he is well, and physicians and nurses attend him when he is sick. A steam laundry does his washing, and the latest modern appliances do his cooking. A library affords him relaxation for his ...
— The Old Franciscan Missions Of California • George Wharton James

... grim, sallow, lowering, inseparable, undefeated, the cousins fought their way into the temple of Art—art with a big A, which causes to intervene a lesson in geometry. ...
— Rolling Stones • O. Henry

... wood and field, however, I knew nothing of any open-air study. Study was a thing of books. At school we were never taught to look elsewhere for knowledge. Reading and spelling, geography and grammar, arithmetic and algebra, geometry and trigonometry,—these were studied, of course, as also were Latin and Greek. But none of our lessons took us out of the school-room, unless it was astronomy, the study of which I had nearly forgotten; and that we pursued in the night-time, when birds and plants were ...
— Birds in the Bush • Bradford Torrey

... at my house. He, indeed, which is scarcely credible, besides applying himself more than usual to philosophy, and playing on the flute, agreeably to the custom of the Pythagoreans, and having books read to him night and day, in all which he did not want eyes, contrived to teach geometry, which, one would think, could hardly be done without the assistance of eyes, telling his scholars how and where to draw every line. They relate of Asclepiades, a native of Eretria, and no obscure philosopher, when some one asked him what inconvenience he suffered from his blindness, ...
— Cicero's Tusculan Disputations - Also, Treatises On The Nature Of The Gods, And On The Commonwealth • Marcus Tullius Cicero

... largest of your planets, would indicate that. Their own world was probably even larger—they were forced to wear pressure suits even on that large world, and could jump all over, you said. On so huge a sphere as their native world seems to be, the gravity would be so intense as to distort space. Geometry, such as yours seems to be, and such as ours was, could never be developed, for you assume the existence of a straight line, and of an absolute plane surface. These things cannot exist in space, but on small worlds, far ...
— Invaders from the Infinite • John Wood Campbell

... time, abounded with the best professors, he made a voyage to Greece [d], and thence to Asia, in order to enrich his mind with every branch of learning. Hence that store of knowledge which appears in all his writings. Geometry, music, grammar, and every useful art, were familiar to him. He embraced the whole science of logic [e] and ethics. He studied the operations of nature. His diligence of enquiry opened to him the long ...
— A Dialogue Concerning Oratory, Or The Causes Of Corrupt Eloquence • Cornelius Tacitus

... moon returns to exactly the same point at fixed intervals; that is to say, when the moon is found in the same sign of the zodiac, exactly opposite to the rays of the sun, and stops there a few minutes, which in geometry ...
— The Roman History of Ammianus Marcellinus • Ammianus Marcellinus

... celestial phenomena the horoscope of man, have been brought down to modern applications by learned philosophers and mathematicians. These have labored with a godlike energy and skill to trace the interior relationships existing between the recondite revelations of their Geometry, their wonderful laws of mathematical harmonies and unities, and those lines which by common consent are understood to be exponential of certain phases of our own existence. No well-organized intellect can fail to perceive ...
— Atlantic Monthly, Vol. 7, No. 44, June, 1861 • Various

... consented to his importing an oil-stove for cooking his meals. He bought the stove, with a box of oatmeal, a jar of bacon, and half a dozen eggs. He bought a plane and solid geometry, and an algebra. At dinner time he laid the algebra beside his plate of anemic bacon and leaking eggs. The eggs grew cold. He did not stir. He was reviewing his high-school algebra. He went down the pages, word by word, steadily, quickly, ...
— Free Air • Sinclair Lewis

... as a tidy nightmare; yet it is a successful creation of the brains that conceived it—a successful creation of ground-rents. As a development of land ripe for building, with more yards of frontage to the main-road than at first sight geometry seems able to accommodate, it has been taking advantage of unrivalled opportunities for a quarter of a century, backed by advances on mortgage. It is the envy of the neighbouring proprietors east ...
— Somehow Good • William de Morgan

... over his door, "Let no one ignorant of geometry enter here." The greatest value of the study of the classics and mathematics comes from the habits of accurate and concise thought which it induces. The habit-forming portion of life is the dangerous period, and we need the discipline of close ...
— Architects of Fate - or, Steps to Success and Power • Orison Swett Marden

... imperative from the fact that the cupidity of authors and publishers has led to the preparation of "children's books," many of which are announced as purposely prepared "for children from two to three years old!" I might instance advertisements of "Infant Manuals" of Botany, Geometry, ...
— Popular Education - For the use of Parents and Teachers, and for Young Persons of Both Sexes • Ira Mayhew

... philosopher is not a man, he is anything but a philosopher; he is above all a pedant, and a pedant is a caricature of a man. The cultivation of any branch of science—of chemistry, of physics, of geometry, of philology—may be a work of differentiated specialization, and even so only within very narrow limits and restrictions; but philosophy, like poetry, is a work of integration and synthesis, or else it is merely ...
— Tragic Sense Of Life • Miguel de Unamuno

... the beautiful variety of things and the firmament, his coat of stars,—was but the representative of thee, O rich and various man! thou palace of sight and sound, carrying in thy senses the morning and the night and the unfathomable galaxy; in thy brain, the geometry of the City of God; in thy heart, the bower of love and the realms of right and wrong.... Every star in heaven is discontent and insatiable. Gravitation and chemistry cannot content them. Ever they woo and court the eye of the beholder. Every ...
— Emerson and Other Essays • John Jay Chapman

... in the reading room, and attracted no little attention. Oral public examinations were held June 1 and 2. These showed faithful work on the part of both teachers and pupils. The classes in United States history and geometry deserve special mention. The excitement of the occasion was a little too much for some of the young people, leading one to say that Riel was the Governor-General of Canada, while another remarked that Florida, being discovered on Easter ...
— The American Missionary — Volume 39, No. 08, August, 1885 • Various

... Clairaut's geometry by copying the book, plates, and all, from beginning to end. She read Pufendorf's folio on the law of nature. She learned English, and read the life of Cromwell. She read the great French preachers, Bossuet, ...
— Brave Men and Women - Their Struggles, Failures, And Triumphs • O.E. Fuller

... can talk about angles when describing an island or even a continent, except in a figurative and flowery fashion. As a teacher of geometry, it is my business to dwell among angles; and the thirty-five boys in my class will bear witness to the fact that my relations with angles, great and small, are above reproach. I admit that there are angles everywhere, and that a man who really likes their company will ...
— South Wind • Norman Douglas

... written under the first Dynasties, books of the time of Mena and perhaps of kings anterior to Mena. The works in the library would be composed of religious works; chapters of the Book of the Dead, copied after authentic texts preserved in the Temples; scientific treatises on geometry, medicine and astronomy; historic books in which were preserved the sayings and doings of the ancient kings, together with the number of the years of their lives and the exact duration of their reigns; manuals of philosophy and practical ...
— Scarabs • Isaac Myer

... was given to the gods. Thoth in Egypt and Bel in Chaldea were the revealers not only of theology and the ritual, but of all human knowledge.[14] The names of the Oriental Hipparchi and Euclids who solved the first problems of astronomy and geometry were unknown; but a confused and grotesque literature made use of the name and authority of Hermes Trismegistus. The doctrines of the planetary spheres and the opposition of the four elements were made to support systems of anthropology and of morality; the theorems of astronomy were used to establish ...
— The Oriental Religions in Roman Paganism • Franz Cumont

... finished studies similar to those taught in the eight grades of our schools and began to prepare for college. Miss Sullivan was still with her and, although she had for a tutor a kind, patient man who taught her algebra, geometry, and Greek, it was Miss Sullivan who sat beside her and talked into the girl's hands the tutor's explanations and made it possible for her to enter Radcliffe College in ...
— Modern Americans - A Biographical School Reader for the Upper Grades • Chester Sanford

... unexaggerated. What a career was run by this genius! Discovering the science of geometry at twelve years of age,—next inventing the arithmetical machine,—discovering atmospheric pressure, while every philosopher was prating about "Nature's horror of a vacuum,"—inventing the wheelbarrow, to divert his mind from ...
— The Atlantic Monthly, Volume 2, Issue 12, October, 1858 • Various

... is ignorant of the elements of mathematics, and makes its calculations by the help of vertical arithmetical tables, like those used by the shop-keepers in Russia, and who are ignorant both of analysis and geometry?—Timkowski's ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 10, Issue 266, July 28, 1827 • Various

... ermine that decorates his judges was never before on a British animal. His very mind is not English in its attainments: it is a mere pic-nic of foreign contributions. His poetry and philosophy are from ancient Greece and Rome; his geometry from Alexandria; his arithmetic from Arabia, and his religion from Palestine. In his cradle, in his infancy, he rubbed his gums with coral from oriental oceans; and when he dies, he is buried in a coffin made from wood that grew on a foreign soil, and his monument will be sculptured in marble ...
— Harper's New Monthly Magazine, Vol. 3, July, 1851 • Various

... smoking, and devoted all his leisure time to study. The revolutionist gave him lessons, and his thirst for every kind of knowledge, and the facility with which he took it in, surprised her. In two years he had mastered algebra, geometry, history—which he was specially fond of—and made acquaintance with artistic and critical, and especially socialistic literature. The revolutionist was arrested, and Kondratieff with her, forbidden books having been found in their possession, and they were imprisoned and then ...
— Resurrection • Count Leo Tolstoy

... painting, sculpture, architecture, and the great pyramids, obelisks, and sphinxes were but the records of the glory of kings, built upon the shame of humanity. True, indeed, there was some advance in the art of writing, in the science of astronomy and geometry, and the manufacture of glass, pottery, linens, and silk in the industrial arts. The revelations brought forth in recent years from the tombs of these kings, where were stored the art treasures representing the civilization of the time, exhibit something of the splendors ...
— History of Human Society • Frank W. Blackmar

... mental instruments by which man was able to pry aside the obstacles which hid from view the Unknown. Its use even tore aside the Veil of Isis to the extent that a glimpse of the face of the goddess might be caught. Just as a knowledge of the Principles of Geometry enables man to measure distant suns and their movements, while seated in his observatory, so a knowledge of the Principle of Correspondence enables Man to reason intelligently from the Known to the Unknown. Studying the monad, ...
— The Kybalion - A Study of The Hermetic Philosophy of Ancient Egypt and Greece • Three Initiates

... very appropriately used as a type of geometry, that science of which he was so eminent a teacher, and the myth or legend then symbolizes the fact that there was in Egypt a close connection between that science and the great moral and religious system, which was among the Egyptians, as well as other ancient nations, what ...
— The Symbolism of Freemasonry • Albert G. Mackey

... two great sources of ornament are geometry and nature. The latter includes the former; for not only must natural forms, in order to be available as material for ornament, be first conventionalized, or reduced to regular, symmetrical, geometric outlines, but any and all designs, whether the unit of repetition be geometric ...
— Scientific American Supplement, No. 598, June 18, 1887 • Various

... distinguished himself in geometry and chemistry; nearly flunked in Cicero and English; learned to play an extraordinarily steady game of bottle pool ...
— The Trail of the Hawk - A Comedy of the Seriousness of Life • Sinclair Lewis

... keeping it there. There are virtually two processes involved in Attention. The Intellect is directed into a particular channel, but to keep it there, all intruders must be excluded. To illustrate. A student attempts to learn a proposition in Geometry. To do this he must keep his mind on the printed explanations, and if his thoughts attempt to fly away, he must repress that attempt. To guide his mind into the channel of the printed exposition, he calls into ...
— Assimilative Memory - or, How to Attend and Never Forget • Marcus Dwight Larrowe (AKA Prof. A. Loisette)

... sensible and candid in the information you may want from him; and if you are kind enough to bestow pains upon him, the obligation on my part will be lasting. The branches to be learnt are these: Latin, French, Arithmetic, Mercantile Accounts, Elocution, History, Geography, Geometry, Astronomy, the Globes, Mathematics, ...
— A Publisher and His Friends • Samuel Smiles

... west of France, a pleasant little town, with a college, a library, &c., which they had selected for their first place of residence, rather than Paris. An Italian master was procured to teach young Jones "something of practical geometry and fortification"; and, for the rest, Oldenburg himself continued to superintend his studies, directing them a good deal in that line of physical and economical observation which might be supposed congenial to a nephew of Boyle, and which had become interesting to himself. "As ...
— The Life of John Milton, Volume 5 (of 7), 1654-1660 • David Masson

... is," said Harrington, reaching down the dialogue and turning to the place. "'Tell me frankly,' says Socrates, 'what do you think science is?' 'It appears to me,' says Theaetetus, 'that such things as one may learn from Theodorus here, —namely, geometry, as well as other things which you have just enumerated; and again, that the shoemaker's art, and those of other artisans,—all and each of them are nothing else but science.' 'You are munificent indeed,' said Socrates; 'for ...
— The Eclipse of Faith - Or, A Visit To A Religious Sceptic • Henry Rogers

... is more of a city than the big modern capitals, where there is nothing to see but fine hotels on one hand and horrible hovels on the other. If you came from America, like me, you would see how agreeable you would find the impression of a city that one gets here. To forget all the geometry, the streets laid out with a compass, ...
— Caesar or Nothing • Pio Baroja Baroja

... object, what the method, of an art, and what the source of its power? The whole secret is that no art does "compete with life." Man's one method, whether he reasons or creates, is to half-shut his eyes against the dazzle and confusion of reality. The arts, like arithmetic and geometry, turn away their eyes from the gross, coloured and mobile nature at our feet, and regard instead a certain figmentary abstraction. Geometry will tell us of a circle, a thing never seen in nature: asked about a green circle or an iron circle, it lays its hand upon its mouth. So with ...
— The Works of Robert Louis Stevenson, Volume 9 • Robert Louis Stevenson

... geometrical questions. This they did by the construction, from various curves and sections, of certain instruments called mesographs. Plato was much vexed at this, and inveighed against them for destroying the real excellence of geometry by making it leave the region of pure intellect and come within that of the senses, and become mixed up with bodies which require much base servile labour. So mechanics became separated from geometry, and, long regarded with contempt by philosophy, ...
— Plutarch's Lives, Volume II • Aubrey Stewart & George Long

... of Euclid's 'Elements' (1570) is naturally a rare book, as is John Blagrave's 'Mathematical Jewel,' a folio issued in 1585. It is one of the earliest English books upon mathematics. Blagrave[84] was the author of a number of works on Geometry, ...
— The Book-Hunter at Home • P. B. M. Allan

... European scholars will probably smile at the statement that there is a hidden meaning in these words. Most readers will take the 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 ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 3 - Books 8, 9, 10, 11 and 12 • Unknown

... game: no passion you know; no love on his own side; nothing of the sort; all done by rule and compass; knew women as well as dice, and calculated the exact moment when his snares would catch them, according to the principles of geometry. D——d clever fellow, faith; but a confounded rascal: but let it go no further; mum's the word! must not slander the dead; and 'tis only my suspicion, you know, after all. Poor fellow: I don't think he ...
— Devereux, Complete • Edward Bulwer-Lytton

... a citizen and retired slop-seller. He was a charity boy, wholly without education, but made L80,000 in trade, and is determined to have "a larned skollard for his son-in-law." He speaks of jomtry [geometry], joklate, jogrify, Al Mater, pinny-forty, and antikary doctors; talks of Scratchi [Gracchi], Horsi [Horatii], a study of horses, and so on. Being resolved to judge between the rival ...
— Character Sketches of Romance, Fiction and the Drama, Vol 1 - A Revised American Edition of the Reader's Handbook • The Rev. E. Cobham Brewer, LL.D.

... very ancient branch of which is the puzzle in dissection, requiring some plane figure to be cut into a certain number of pieces that will fit together and form another figure. Most of the wire puzzles sold in the streets and toy-shops are concerned with the geometry of position. ...
— The Canterbury Puzzles - And Other Curious Problems • Henry Ernest Dudeney

... and thorough knowledge; an aim indeed, pursued by the priests (to whose caste the physicians belong) with a most praiseworthy earnestness in all branches of science. Yonder lies the house of the high-priest Neithotep, whose knowledge of astronomy and geometry was so highly praised, even by Pythagoras. It lies next to the porch leading into the temple of the goddess Neith, the protectress of Sais. Would I could show thee the sacred grove with its magnificent trees, the splendid pillars of the temple with capitals ...
— Uarda • Georg Ebers

... out of doors one day how the Pythagorean proposition, as it is now called, could be proved from first principles, drawing the necessary diagrams with a pencil on a piece of wood. I thought that even cattle might understand geometry could they only be communicated with and made to pay attention ...
— The Reminiscences of an Astronomer • Simon Newcomb

... himself no unassigned tasks in memory work. It is the first business of the good instructor to teach the student how to study. The first step in this process is to impress on the student's mind that systematic preparation in the history class is as necessary as in Latin, physics, or geometry. Then let the following or similar ...
— The Teaching of History • Ernest C. Hartwell

... again in their literature, in epic and lyric poems, drama, and philosophy; a very complete form. Then we have it once more in their architecture, a beauty as of temperance itself, limited to the straight line and the square,—a builded geometry. Then we have it once again in sculpture, the "tongue on the balance of expression," a multitude of forms in the utmost freedom of action and never transgressing the ideal serenity; like votaries performing some religious ...
— Essays, First Series • Ralph Waldo Emerson

... or have attained so much knowledge and learning as his actions demonstrate; more especially in those four principal sciences which were so indispensably necessary to fit him for what he performed, astronomy, cosmography, geometry, and navigation. It is not much to be wondered that Justiniani should be guilty of untruth in this circumstance, which is hidden, since he has inserted above a dozen falsehoods in half a sheet of paper in his Psalter, in matters concerning this discovery and navigation, which are well known. These ...
— A General History and Collection of Voyages and Travels, Vol. III. • Robert Kerr

... I tell you, all these ancient Indians. They invented the game of chess, and the Greeks went among them to learn geometry. ...
— Voltaire's Philosophical Dictionary • Voltaire

... a rich man, but he was able to send Christopher, as a boy, to the University of Pavia, and here he studied grammar, geometry, geography and navigation, astronomy and the Latin language. But this was as a boy studies, for in his fourteenth year he left the university and entered, in hard work, on "the larger college of the world." If the date given above, of his birth, is correct, this was in the year 1450, a few years ...
— The Life of Christopher Columbus from his own Letters and Journals • Edward Everett Hale

... crossing trenches, Briton and Indian on their way up the slope to the Ridge. How they passed the crest without being decimated by a curtain of fire would be a mystery if there were any mysteries in this war, where everything seems to be worked out like geometry or chemical formulae. The German artillery being busy withdrawing heavy guns and the other guns preoccupied after the startling results of an attack not down on the calendar for that day did not have time to "get on" the cavalry when they were ...
— My Second Year of the War • Frederick Palmer

... more pleasurable effect, took the place of the seven-stringed lyre, and complicated music replaced the simple Doric airs of the earlier period. Education became much more individual, literary, and theoretical. Geometry and drawing were introduced as new studies. Grammar and rhetoric began to be studied, discussion was introduced, and a certain glibness of speech began to be prized. The citizen-cadet years, from sixteen to twenty, formerly devoted to rather rigorous ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY

... situated in one city—and no city can have more than that number of stores or even so many—we shall then find that the sixty-fourth and last square gives sixteen thousand three hundred and eighty-four cities. Now, you know that there is not in the world a greater number of cities than that, for geometry informs us that the circumference of the globe is eight thousand parasangs; so that, if the end of a cord were laid on any part of the earth, and the cord passed round it till both ends met, we should find the length of the cord to be twenty-four thousand miles, which is equal to ...
— A Boswell of Baghdad - With Diversions • E. V. Lucas

... a queer little governess, Miss Brown, who came to us highly recommended both as to her personal character and for ability to instruct us in arithmetic and geometry, geography, English composition, and the rudiments of French. She was barely five feet in height, and as thin and dry as an insect; and although her personal character came up to any eulogium that could ...
— Hawthorne and His Circle • Julian Hawthorne

... geometry at the High School," said this surprising young woman. "Thank Heaven, it's Saturday! I'm reading Les Miserables for the seventh time, and I'm going to have a real ORGY over Gervaise and the barricade ...
— Beasley's Christmas Party • Booth Tarkington

... who is an astrologer, one learned in alchemy and white magic;[FN612] syntax, grammar, and lexicology; the arts of logic, rhetoric and elocution; mathematics, arithmetic and algebra; astronomy, astromancy and geometry; theology, the Traditions of the Apostle and the Commentaries on the Koran. Furthermore, I have read books galore and digested them and have had experience of affairs and comprehended them. In short I have learned the theorick and the ...
— The Book of the Thousand Nights and a Night, Volume 1 • Richard F. Burton

... OF ALEXANDRIA.—The great Libraries, Observatories, Botanical Gardens, Menageries, Dissecting Houses.—Its Effect on the rapid Development of exact Knowledge.—Influence of Euclid, Archimedes, Eratosthenes, Apollonius, Ptolemy, Hipparchus, on Geometry, Natural Philosophy, Astronomy, ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper

... seclusion," said the prisoner; "and that which makes me believe so, above all, now, is the care that was taken to render me as accomplished a cavalier as possible. The gentleman attached to my person taught me everything he knew himself—mathematics, a little geometry, astronomy, fencing, and riding. Every morning I went through military exercises, and practiced on horseback. Well, one morning during summer, it being very hot, I went to sleep in the hall. Nothing up to that period, except ...
— The Vicomte de Bragelonne - Or Ten Years Later being the completion of "The Three - Musketeers" And "Twenty Years After" • Alexandre Dumas

... algebra through quadratic equations, plane geometry, descriptive geography, physical geography, United States history and the outlines ...
— Go Ahead Boys and the Racing Motorboat • Ross Kay

... plain of meadow and corn-ground intersected with stone walls apparently innumerable, like a large piece of lawless patch-work, or an array of mathematical figures, such as in the ancient schools of geometry might have been sportively and fantastically traced out upon sand. Beyond this little fertile plain lies, within a bed of steep mountains, the long, narrow, stern, and desolate lake of Wastdale; and, beyond this, a dusky tract of level ground conducts the ...
— The Prose Works of William Wordsworth • William Wordsworth

... the relative distances of the stars were more complete, it would be an interesting exercise in celestial geometry to project the constellations probably visible to the inhabitants of worlds revolving around some of the other suns of space. Our sun is too insignificant for us to think that he can make a conspicuous appearance among them, except, perhaps, ...
— Curiosities of the Sky • Garrett Serviss

... appear, at first sight, as if it could give rise to no serious difficulties; but it proved otherwise. The intervention of M. de Laplace, before the day of ballot, was active and incessant to have my admission postponed until the time when a vacancy, occurring in the geometry section, might enable the learned assembly to nominate M. Poisson at the same time as me. The author of the Mecanique Celeste had vowed to the young geometer an unbounded attachment, completely justified, certainly, by the beautiful researches which science already owed to him. M. de ...
— Biographies of Distinguished Scientific Men • Francois Arago

... motions do not escape distortion: nor is it easy to be convinced that the distortion is in the eye which beholds, not in the object beheld. Let a planet be wheeling with heavenly science, upon arches of divine geometry: suddenly, to us, it shall appear unaccountably retrograde; flying when none pursues; and unweaving its own work. Let this planet in its utmost elongations travel out of sight, and for us its course will ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... justified the encomiums of my host of the town. Over the wine I made sure that my entertainer would have loosened the chain which seemed to tie his tongue—but no! I endeavoured to tempt him by various topics, and talked of geometry and the use of the globes, of the heavenly sphere, and the star Jupiter, which I said I had heard was a very large star, also of the evergreen tree, which, according to Olaus, stood of old before the heathen temple of Upsal, and which I affirmed was a yew—but no, ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow

... not occurred to him. The idea that he might assert his individuality and depart from the family pattern had not ventured to show its face. For too many years had his ancestors been impressing him with his duty to the family traditions. He merely studied it, as one who has no fancy for geometry will study geometry, because it cannot be helped. The path was there, carefully staked out and bordered; to-day his feet had been placed on it, and now he must walk. As he sat he looked ahead for bypaths—none ...
— Youth Challenges • Clarence B Kelland

... "Pilgrim's Progress," and "Robinson Crusoe." He read a history of the United States and a life of Washington, and he learned by heart the statutes of the State of Indiana. Moreover, he studied without guidance algebra and geometry. It is said that later in life, when his political career was beginning, he continued his studies even more seriously and attempted ...
— The French in the Heart of America • John Finley

... a mind, the ordinary processes of logical deduction are like proving that two and two make four. Mastering the intermediate steps by an intuitive glance, or recurring to them as Ferguson resorted to geometry, it goes down to the deeper relation of things, and brings out what may seem, to some, mere statements, but which are new and brilliant generalizations, each resting on a broad and stable basis. Thus, Chief Justice Marshall gave his decisions, and then ...
— My Bondage and My Freedom • Frederick Douglass

... Menage, on which we cannot indeed compose in a florid or elegant diction, such as geography, music, algebra, geometry, &c. When Atticus requested Cicero to write on geography, the latter excused himself, observing that its scenes were more adapted to please the eye, than susceptible of the embellishments of style. However, in these kind of sciences, we may ...
— Curiosities of Literature, Vol. 1 (of 3) • Isaac D'Israeli

... palaces and gave largesse and made proclamation of safety and security and promoted his chamberlains and viceroys; and the people of his realm came in to him and saluted him and gave him joy of the holy day, bringing him gifts and servants and eunuchs. Now he loved science and geometry, and one festival-day as he sat on his kingly throne there came in to him three wise men, cunning artificers and past masters in all manner of craft and inventions, skilled in making things curious and rare, such as confound the wit; and versed in the knowledge of occult truths ...
— The Book of the Thousand Nights and a Night, Volume 5 • Richard F. Burton

... take what he has just said, madame, for the wanderings of a madman," whispered the doctor; "he handles in this way sometimes the most difficult questions of geometry or astronomy, with an acuteness which would do honor to the most illustrious learned men. His knowledge is great. He speaks all the living languages, but he is, alas! a martyr to his thirst for erudition and pride of learning. He imagines that he has absorbed all human ...
— Mysteries of Paris, V3 • Eugene Sue

... of migrations from one unfortunate farm to another; from Alloway (where he was taught to read) to Mt. Oliphant, and then (1777) to Lochlea in Tarbolton (where he learnt the rudiments of geometry), the poet remained in the same condition of straitened circumstances. At the age of thirteen he thrashed the corn with his own hands, at fifteen he was the principal labourer. The family kept no servant, and for several years butchers' meat was a thing unknown ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... rendering assistance. (1.) Simply analyzing intricate subjects. Dialogue on longitude. (2.) Making previous truths perfectly familiar. Experiment with the Multiplication table. Latin Grammar lesson. Geometry. ...
— The Teacher - Or, Moral Influences Employed in the Instruction and - Government of the Young • Jacob Abbott

... extensive agricultural labor and irrigation upon a large scale. Let us add, further, that the intervention of intelligent beings might explain the geometrical appearance of the gemination, but it is not at all necessary for such a purpose. The geometry of nature is manifested in many other facts from which are excluded the idea of any artificial labor whatever. The perfect spheroids of the heavenly bodies and the ring of Saturn were not constructed in a turning lathe, and not with compasses has Iris described ...
— The Certainty of a Future Life in Mars • L. P. Gratacap

... general are entitled to assume perfect lines without breadth and perfect surfaces without thickness. Perfect lines and surfaces do not exist within the region of our experience; yet the conclusions of geometry are none the less true ideally, though in any particular concrete instance they are only approximately realized. Just so with the conception of a frictionless fluid. So far as experience goes, such a thing has ...
— The Unseen World and Other Essays • John Fiske

... inflexibly determined on learning as Anne was could hardly escape making progress under any kind of teacher. By the end of the term Anne and Gilbert were both promoted into the fifth class and allowed to begin studying the elements of "the branches"—by which Latin, geometry, French, and algebra were meant. In geometry Anne ...
— Anne Of Green Gables • Lucy Maud Montgomery

... companions and more serious. The light spirit that makes it a joyous festival to many was not in him. Of the myrtle and ivy of sweet two-and-twenty he knew nothing. He distinguished himself in mathematics (especially in geometry, which is the most logical of studies) and in the students' debating-societies. He was also an ...
— Sketches from Concord and Appledore • Frank Preston Stearns

... derision. "For my part, I prefer red blood to sap, and when I love I want to know it—I don't want to have it proved to me like a problem in geometry. I want to love and hate, and do wild, impulsive things ...
— The Silver Horde • Rex Beach

... acquire Knowledge.—Edmund Stone, the celebrated mathematician, was a native of Scotland, and the son of the Duke of Argyle's gardener. Before he attained the age of eighteen years, he had acquired a knowledge of geometry, &c., without a master. When he was asked by the Duke of Argyle how he had gained this knowledge, he replied, "I first learned to read; and the masons being at work on your house, I saw that the architect used ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 20, No. - 581, Saturday, December 15, 1832 • Various

... caught infinite calculations carried into infinity; an apotheosis of geometry compassing the rhythms of unknown spatial dimensions; concentration of the ...
— The Metal Monster • A. Merritt

... says: "My mind presents an assemblage of disjointed specimens of history, ancient and modern; scraps of poetry picked up from Shakespeare, Cowper, Wordsworth, and Milton; newspaper topics, morsels of Addison and Bacon, Latin verbs, geometry, entomology, and chemistry; reviews and metaphysics, all arrested and petrified and smothered by the fast-thickening everyday accession of actual events, relative anxieties, and ...
— English Literature - Its History and Its Significance for the Life of the English Speaking World • William J. Long

... executed mathematical diagram illustrating a proposition in Euclid, should we really be satisfied with the statement that it represented the random pencil-strokes made by a blindfolded child ignorant of geometry? On the other hand, if a fretful baby is allowed to divert himself by hammering the piano keys, is the result ever remotely akin to a tune? We know perfectly well that we never get harmony, order, beauty, rationality by accident; ...
— Problems of Immanence - Studies Critical and Constructive • J. Warschauer

... depopulated London. After a day's hard labour at mathematical operations and corrections I sit down to write to you these hasty and, I fear, almost unreadable lines. Will you excuse them for the promise of something better when I have more leisure to be point-device? Your opinion of my geometry was very grateful, chiefly as it confirmed my own—that there has been a great deal too much baby-making of the English people by those who pretend to instruct them in science. These persons write upon the Goody-two-shoes plan, and seem to look upon their readers as infants who have not ...
— Life and Remains of John Clare - "The Northamptonshire Peasant Poet" • J. L. Cherry

... quitting school. She was now in the "high room," as it was called, in next to the highest class, and was studying geometry and beginning Caesar. She no longer recited her lessons to the teacher she liked, but to the Principal, a man who belonged, like Mrs. Livery Johnson, to the camp of Thea's natural enemies. He taught ...
— Song of the Lark • Willa Cather

... the lines do not soften; brilliant light succeeds, and is merely light—no effect accompanies it. The architecture conquers, and is always architecture; it resists the sun, the air, the rain, being without expression. The geometry of the street can never be forgotten. Moving along it you have merely advanced so far along a perspective, between the two lines which tutors rule to teach drawing. By-and-by, when you reach the other end and look back, the perspective is accurately reversed. This ...
— The Life of the Fields • Richard Jefferies

... wearing short trousers, and had already renounced all infantile games. The dangling crows which illustrated the pages of his Burnouf grammar were all dated the previous year, and he had entirely renounced feeding silkworms in his desk. Everything pointed to his not being a very practical man. Geometry disgusted him, and as for dates, he could not remember one. On holidays he liked to walk by himself through quiet streets; he read poems at the bookstalls, and lingered in the Luxembourg Gardens to see the sun set. Destined to be a dreamer and a sentimentalist—so ...
— Serge Panine • Georges Ohnet

... also, he must study, and the art of two forms of his language—the written and the spoken: likewise, of course, he must learn native history and native morals. Besides these Oriental studies, his course includes foreign history, geography, arithmetic, astronomy, physics, geometry, natural history, agriculture, chemistry, drawing, and mathematics. Worst of all, he must learn English—a language of which the difficulty to the Japanese cannot be even faintly imagined by anyone unfamiliar with the construction of the native tongue—a language so different from his own ...
— Glimpses of an Unfamiliar Japan • Lafcadio Hearn

... Classics. In the former the First Year was devoted to the study of six books of Euclid, Algebra to the end of Quadratic Equations, and Trigonometry to the end of the solution of Plain Triangles. In the second year the course included a repetition of all the first year work, Analytic Geometry, Differential and Integral Calculus, and Logic, consisting of Fallacies, Induction and "a sketch of a system of Philosophy of the Human Mind." The work of the third or final year was in Physics, Astronomy, and Ethics, principally "Butler's Analogy." In the Classics course selections from ...
— McGill and its Story, 1821-1921 • Cyrus Macmillan

... friends, he received some commissions to write in various books of reference; and in 1824, when he was twenty-nine years of age, he published a translation of Legendre's Geometry. In the same year he published, in the London Magazine, his Life of Schiller, and also his translation of Goethe's Wilhelm Meister. This successful attack upon the London periodicals and reviews led to a certain complication ...
— Famous Affinities of History, Vol 1-4, Complete - The Romance of Devotion • Lyndon Orr

... upon altogether new principles, hitherto undiscovered by any excepting himself, and for which he expects a Patent from Trinity College, Dublin; or, at any rate, from Squire Johnston, Esq., who paternizes many of the pupils; Book-keeping, by single and double entry—Geometry, Trigonometry, Stereometry, Mensuration, Navigation, Guaging, Surveying, Dialling, Astronomy, Astrology, Austerity, Fluxions, Geography, ancient and modern—Maps, the Projection of the Sphere—Algebra, the Use of the Globes, Natural and Moral Philosophy, Pneumatics, ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton

... part of the 19th century to an important reaction against the specialization mentioned in the preceding paragraph. This reaction has taken the form of a return to the alliance between algebra and geometry (S 5), on which modern analytical geometry is based; the alliance, however, being concerned with the application of graphical methods to particular cases rather than to general expressions. These applications ...
— Project Gutenberg Encyclopedia

... from her earliest years discovered an uncommon genius for learning. Before she was three years of age, she was taught Low German, a language almost foreign to her own. Before she was six, she had learned French and German, and then she began geometry; and after receiving ten lessons, she was able to answer very difficult questions. The English, Italian, Swedish, and Dutch languages were next acquired, with singular rapidity; and before she was fourteen, she knew Latin and Greek, and had become ...
— Books and Authors - Curious Facts and Characteristic Sketches • Anonymous

... "Every heretic has his letter"[90] so common and yet so true as in Holland. The old quartos we have received from the seventeenth and former half of the eighteenth centuries will ever remain marvels of literalism gone mad. They were gotten up like a geometry, with theorems and propositions, followed by a lengthy array of texts transcribed without one word of comment. The sermons published at that time were divided and subdivided, their appearance being similar to a page of a dictionary. They were interlarded with Latin, Greek, and Hebrew letters and ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst

... cum in geometria quiddam novi invenisset, Musis bovem immolasse dicitur, when Pythagoras had discovered something new in geometry, he is said to have sacrificed ...
— New Latin Grammar • Charles E. Bennett

... quality and number of our attainments. French! we wrote and spoke it fluently, a la Ahn. German! of this we possessed a slighter knowledge, it was true, but sufficient for mere purposes of commerce. Bookkeeping! arithmetic! geometry! we played with them. The love of work! it was a passion with us. Our moral character! it would have adorned a Free Kirk Elder. "I could call on you to-morrow or Friday between eleven and one, or on Saturday any time up till two. ...
— Paul Kelver • Jerome Klapka, AKA Jerome K. Jerome

... to hear two or three sermons, in each of which there are more elements of mental discipline than a French peasant gets in a whole lifetime. It is a shallow view of theological training to ask of what practical use are its metaphysical problems. Of what practical value to most students is geometry? On the whole, I think it is the Puritan idea of the Sabbath, as it prevails in New England, that is one great source of that individual strength and self-control which have supported so ...
— Sunny Memories of Foreign Lands V2 • Harriet Beecher Stowe

... line to it; then stretch the line to another nail to mark either a side line or back line. You will then have one side and the corner fixed, and the problem is to get another line at right angles to it. Boys who have studied geometry know that "in a right-angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." It isn't necessary to understand this, but it is the principle employed in "squaring." ...
— Outdoor Sports and Games • Claude H. Miller

... nature has graven her image and that of her Author on all things, they almost all partake of her double infinity. Thus we see that all the sciences are infinite in the extent of their researches. For who doubts that geometry, for instance, has an infinite infinity of problems to solve? They are also infinite in the multitude and fineness of their premises; for it is clear that those which are put forward as ultimate are not self-supporting, but are based on others which, again having others for their ...
— Pascal's Pensees • Blaise Pascal

... in the latter part of his life, was no doubt Master Shakspeare, a title so common as even to be bestowed upon the geometer of Alexandria. In Bayford's collection is preserved a Catalogue advertising "Master Euclid's Elements of Plain Geometry." ...
— Notes & Queries No. 29, Saturday, May 18, 1850 • Various

... had supplanted. There was also some instruction in modern languages,—German, French and Italian,—all of very slight value. But the substance of the instruction consisted in learning to translate rather easy Latin and Greek, writing Latin, and courses in algebra and geometry not very far advanced. ...
— Autobiography of Seventy Years, Vol. 1-2 • George Hoar

... harmony with life, it is about inert matter that intelligence is granted; it is a rider to our faculty of action; it triumphs in geometry; it feels at home among the objects in which our industry finds its supports and its tools. In a word, "our logic is primarily the logic of solids." (Preface to "Creative Evolution".) But if we enter the vital order its incompetence ...
— A New Philosophy: Henri Bergson • Edouard le Roy

... will class words as prepositions or conjunctions by memorizing the entire list of each, rather than by thinking the relations that these parts of speech express. Young men and women, likewise, will memorize demonstrations in geometry rather than reason them out, and will memorize other people's opinions rather than attempt to think for themselves. Even though it is often really easier to rely upon one's own power to think than upon memory, it takes some depth of nature to recognize the fact ...
— How To Study and Teaching How To Study • F. M. McMurry

... Bible carefully. You would not laugh at a schoolboy for reading his books carefully, would you? Yet the learnin' of the way of salvation is of far more consequence to me than book learnin' is to a schoolboy. An astronomer is never laughed at for readin' his books o' geometry an' suchlike day an' night—even to the injury of his health—but what is an astronomer's business to him compared with the concerns of my soul to me? Ministers tell me there are certain things ...
— The Lighthouse • R.M. Ballantyne

... a very pleasant evening, and went up to his room, where he read an elaborate article on the vortex theory by Professor Helmholtz, with which, having dipped into transcendental geometry, he was inclined to find fault; and then he ...
— Doctor Claudius, A True Story • F. Marion Crawford

... with geometry as it is with arithmetic. No man is wholly ignorant of points, lines, surfaces, and solids. We are all aware that a short line is not a point, a narrow surface is not a line, and a thin solid is not ...
— An Introduction to Philosophy • George Stuart Fullerton

... connecting-rods, pumps, and the various levers for working the engine; but to find the correct dimensions of the inner parts of the boiler, and of the valve-gearing, by which the movements of the steam are governed, requires a very considerable knowledge of the chemistry of combustion, of practical geometry, and of the physical properties of steam. So nice, indeed, is the valve-adjustment of the locomotive, as depending upon the work it has to do, whether fast or slow, light or heavy, that a single eighth of an inch too much or too little will so affect its power as to entirely ...
— Atlantic Monthly, Vol. II., November, 1858., No. XIII. • Various

... fall a prey to a kind of expert to whom the vulgar give a grosser name, it is perhaps because the said experts are great provers, and love, in spite of its delicious poetry of sentiment, requires a little more geometry than ...
— The Thirteen • Honore de Balzac

... instrument commensurate in part with his big inner energies. I told them how I had specialised in his case to cultivate a positive and steadily-working brain-grip; how I had sought to install a system of order through geometry, which I wasn't equipped to teach, but that one of the college men was leading him daily deeper into this ...
— Child and Country - A Book of the Younger Generation • Will Levington Comfort

... employed, the fallacies detected, the inferences drawn, and the several conclusions adjusted to their proper principles. Truth is disputable; not taste: what exists in the nature of things is the standard of our judgement; what each man feels within himself is the standard of sentiment. Propositions in geometry may be proved, systems in physics may be controverted; but the harmony of verse, the tenderness of passion, the brilliancy of wit, must give immediate pleasure. No man reasons concerning another's beauty; ...
— An Enquiry Concerning the Principles of Morals • David Hume



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