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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



... which new truths were most successfully discovered, and old fallacies most signally routed, did not prevent Turgot from appreciating the ages of criticism and their services to knowledge. He does full justice to Alexandria, not only for its astronomy and geometry, but for that peculiar studiousness 'which exercises itself less on things than on books; whose strength lies less in producing and discovering, than in collecting and comparing and estimating what has been produced and discovered; which does not press forward, but gazes backward along ...
— Critical Miscellanies (Vol. 2 of 3) - Turgot • John Morley

... of the sect, being men of culture, set great store by education, from which, however, they excluded (as it would appear) both the Artistic and the Intellectual elements of the superior instruction of the time, namely, Music, and the Sciences of Geometry, Astronomy, &c. Plato's writings and teachings were held in low esteem. Physical training, self-denial and endurance, and literary or Rhetorical cultivation, comprise the items taught by Diogenes when he became a slave, and was made tutor to the ...
— Moral Science; A Compendium of Ethics • Alexander Bain

... had enrolled him amongst his pages and taught him all manner of knightly exercises. He even was versed in the art of chess-playing, and thus whiled away many a wet and gloomy day for his master, and for his daughter the fair Felice, learned in astronomy, geometry, and music, and in all else that professors from the schools of Toulouse and Spain could teach ...
— The Red Romance Book • Various

... another half of Descartes' system, equally important, or nearly so: we mean the deductive method. His eminence as a mathematician is universally recognized. He was the first to make the grand discovery of the application of algebra to geometry; and he made this at the age of twenty-three. The discovery that geometrical curves might be expressed by algebraical numbers, though highly important in the history of mathematics, only interests us here by leading us to trace his philosophical development. He was deeply ...
— The Great Events by Famous Historians, Volume 11 • Various

... or text. The trial came off in the presence of experts, and in April 1864 they pronounced that his imitations could not be distinguished from originals. In those days there was a famous mathematician whose name was Chasles. He was interested in the history of geometry, and also in the glory of France, and a clever genealogist saw his opportunity. He produced letters from which it appeared that some of Newton's discoveries had been anticipated by Frenchmen who had ...
— Lectures on the French Revolution • John Emerich Edward Dalberg-Acton

... human action becomes the principle of science; and, like all new principles, it pretends to exclusive and absolute dominion. Rationalism governs; abstract philosophy ignores the traditions and the requirements of the life of nations; and finds now in it, as in geometry, nothing but principles and deductions. The memory of recent oppression causes us to act as Tarquin did, and to level down the higher classes instead of elevating the inferior. Liberty and equality then govern by their negative ...
— Principles Of Political Economy • William Roscher

... yet false; if a man says twice five is seven, and you take his word for it without checking the sum, he will naturally deduce that four times five is fourteen, and so on ad libitum. This is the way that weird geometry proceeds: it sets before beginners certain strange assumptions, and insists on their granting the existence of inconceivable things, such as points having no parts, lines without breadth, and so on, builds on these rotten foundations a superstructure equally rotten, and pretends ...
— Works, V2 • Lucian of Samosata

... little about them that he takes no notice of Napier's invention of Logarithms. He was not able to trace how the direct information of the senses might be rightly subordinated to the rational, but not self-evident results of geometry and arithmetic. He was impatient of the subtleties of astronomical calculations; they only attempted to satisfy problems about the motion of bodies in the sky, and told us nothing of physical fact; they gave us, as Prometheus gave to Jove, ...
— Bacon - English Men Of Letters, Edited By John Morley • Richard William Church

... same with the ingenerable and Boundless Power, and not one single whit inferior to that ingenerable, unchangeable and Boundless Power. But if it remain in potentiality only, and its imaging is not perfected, then it disappears and perishes, he says, just as the potentiality of grammar or geometry in a man's mind. For potentiality when it has obtained art becomes the light of generated things, but if it does not do so an absence of art and darkness ensues, exactly as if it had not existed at all; and on the death of the man ...
— Simon Magus • George Robert Stow Mead

... Arian preacher, born at a little village of Berwickshire, in 1734. His father was only a keeper of cattle, and intended James for the same profession. He, meanwhile, having obtained the loan of some books on mathematics, made himself master of geometry and trigonometry, and afterwards taught these sciences, with other branches of mathematics, and assisted some public authors in compiling mathematical works, which have been well received. He joined a party of the ancient Cameronians, and in 1769, at one of their general meetings, was called ...
— The Book of Religions • John Hayward

... no doubt about it. This was the Ladies' Gallery of the British House of Commons, and a pretty place it is to which to invite ladies. I never was good at geometry and that sort of thing, and cannot say how many feet or how many furlongs the gallery is in length, but I counted fourteen chairs placed pretty close together, and covered with a hideous green damask. There are three rows of chairs, the two back rows being raised ...
— Faces and Places • Henry William Lucy

... over. soar, to mount upward. role, a part performed. stake, a pointed stick. sign, a token; a mark. steak, a slice of flesh. sine, a line in geometry. step, a pace; a foot-print. skull, part of the head. steppe, a dreary plain. scull, to impel a boat. stoop, to bend forward. sleeve, an arm cover. stoup, a basin; a pitcher. sleave, untwisted silk. sum, the amount; whole. ...
— McGuffey's Eclectic Spelling Book • W. H. McGuffey

... 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, Optics, Dioptics, Catroptics, ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton

... beauty alone that he lives. He has related his search for the secret of Michael Angelo's design, and how he found it in the rhythm of two planes rather than four, the Greek composition. This system of tormented form is one way of referring the body to the geometry of an imagined rectangular block ...
— The Psychology of Beauty • Ethel D. Puffer

... we do in geometry, for the sake of argument, that the Fulda manuscript and the Berlin fragment were both written about the year 500—a date representing, roughly speaking, the middle point in the period of about one hundred years which separates the extreme limits of the dates ...
— A Sixth-Century Fragment of the Letters of Pliny the Younger • Elias Avery Lowe and Edward Kennard Rand

... flight of birds portended, and acquired the art of calling up spirits from hell; and, in short, whatever—hurtful or healthful—human curiosity had discovered, besides the lawful sciences of arithmetic and astronomy, music and geometry"; how he acquired from the Saracens the abacus (a counting table); how he escaped from the Moslem magician, his tutor, by making a compact with the foul fiend, and putting himself beyond the power of magic, by hanging himself under a wooden bridge so as to touch neither earth ...
— Hereward, The Last of the English • Charles Kingsley

... his little do the work of more; but a person without any is in more danger of making his no knowledge do the work of some. Take the speculations on the tides as an instance. Persons with nothing but a little geometry have certainly exposed themselves in their modes of objecting to results which require the higher mathematics to be known before an independent opinion can be formed on sufficient grounds. But persons with no geometry at all have done the same thing ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan

... here 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 Freemasonry is in ...
— The Symbolism of Freemasonry • Albert G. Mackey

... possible. From this ideal world proceeds the metaphysical world of eternal intelligences (mundus mentalis), including the angels, the world-soul, and human spirits. The third product is the mathematical world of space (mundus sempiternus), the object of geometry; the fourth, the temporal or corporeal world; the fifth, and last, the empirical world (mundus situalis), in which everything appears at a definite point in space and time. All things not only love themselves and seek the conservation of their own being, but strive back ...
— History Of Modern Philosophy - From Nicolas of Cusa to the Present Time • Richard Falckenberg

... alphabetical writing from Phoenicia. Along with the fine wheat, and embroidered linen, and riches of the farther Indias which came from Egypt, there came, also, into Greece some knowledge of the sciences of astronomy and geometry, of architecture and mechanics, of medicine and chemistry; together with the mystic wisdom of the distant Orient. The scattered rays of light which gleamed in the eastern skies were thus converged in Greece, ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... time for review. But with the exception of a little extra mathematics, the requirements are certainly no worse than for college entrance exams. And you've tested yourself out twice on those. Aren't you glad I insisted on more geometry?" ...
— Chicken Little Jane on the Big John • Lily Munsell Ritchie

... founded on a few radical principles, which are exhibited in the shape of axioms and definitions, and unfolded, by rigorous logical deduction, in a series of propositions, with occasional scholia and corollaries, after the method of Geometry; a system which undertakes to explain the rationale of every part of human knowledge, to interpret alike the Book of Nature and the Book of Revelation, to determine the character of prophetic inspiration, and to account for apparent miracles on natural principles, ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan

... stars unknown to us, of which I have retained a particular remembrance, and have enumerated as many as twenty whose brightness is equal to that of Venus or Jupiter. I considered also their circuit and their various motions, and, having a knowledge of geometry, I easily measured their circumference and diameter, and am certain, therefore, that they are of much greater magnitude than men imagine. Among the others, I saw three Canopi, two being very bright, while the third was dim ...
— Amerigo Vespucci • Frederick A. Ober

... pre-existence of an original; the copyist of Raffael's Transfiguration must repeat more or less perfectly the process of Raffael. It would be easy to explain a thought from the image on the retina, and that from the geometry of light, if this very light did not present the very same difficulty. We might as rationally chant the Brahim creed of the tortoise that supported the bear, that supported the elephant, that supported the world, ...
— Biographia Literaria • Samuel Taylor Coleridge

... contemporaries of Descartes, and they followed with intense interest the attempt of the great Frenchman to put philosophy in possession of a method as adequate for its problems as the method of geometry was for the mathematical sciences. None of the "Platonists" was possessed of the same rare quality of genius as either of these two great philosophers, but they saw with clear insight the full bearing of both systems. They heartily disapproved of Hobbes' materialism ...
— Spiritual Reformers in the 16th & 17th Centuries • Rufus M. Jones

... Ms. 425, folio 91, a.] Mr Ive reported that Mr Underhill could be no weaker than he was, and 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 ...
— Robin Tremain - A Story of the Marian Persecution • Emily Sarah Holt

... Turgot devoted himself to literature, science, and charity, translating Odes of Horace and Eclogues of Virgil, studying geometry with Bossut, chemistry with Lavoisier, and astronomy with Rochon, and interesting himself in every thing by which human welfare could be advanced. Such a character, with such an experience of government, and the prophet of American independence, was naturally ...
— Atlantic Monthly, Volume 12, No. 73, November, 1863 • Various

... differential calculus, astronomy, geology, natural history and superior literature. If he is the master of a boarding-school, this degree must not extend beyond grammar classes, nor the first elements of geometry and arithmetic; he must leave to State lycees and colleges their domain intact, the humanities properly so called, superior lectures and means of secondary instruction.—In the second place, in the towns possessing a lycee or college, he must teach at home ...
— The Origins of Contemporary France, Volume 6 (of 6) - The Modern Regime, Volume 2 (of 2) • Hippolyte A. Taine

... sat over our wine, and I remember that the wine was good, and fully 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, nothing that ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow

... at an age when one is surprised to see her able to write at all, that her mother is too busy to let her go to school, and she must improve herself at home; and this she really did, for her notes, as she grew older, speak of studying Butler's Analogy, Paley's Evidences, logic, geometry, and Latin. Her library of poetry is said to have consisted only of Thomson's Castle of Indolence, and Macpherson's Ossian; but hymns must have filled her ear with the ring of rhyme, for she was continually versifying, sometimes passages ...
— Pioneers and Founders - or, Recent Workers in the Mission field • Charlotte Mary Yonge

... College, in Oxford, about the year 1650, and the members consisted of the Honourable Robert Boyle, Esq., Dr. Ward (afterwards Bishop of Salisbury), Sir Christopher Wren, Sir William Petty, Dr. Wallis, Dr. Goddard, and Dr. Hook (late Professor of Geometry), the above-named Bishop Wilkins, and others. In the year 1658 we find them assembling in Gresham College, in London, when were added to their number the Lord Brounker (their first president), Sir Robert Murray, John Evelyng, Esq., Sir George Ent, Dr. Croon, ...
— London in 1731 • Don Manoel Gonzales

... 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 that a sublime and immortal ...
— Atlantic Monthly, Vol. 7, No. 44, June, 1861 • Various

... before us two right angles followed by a triangle, or a triangle followed by two right angles. Instantly, like Aristippus, we can say there is civilization in Mars, or wherever that sign comes from, or at least there is organized thought. The mind that is flashing that sign knows something about geometry. ...
— Editorials from the Hearst Newspapers • Arthur Brisbane

... to come. The interval between the two schools he passed at Cuddesdon, working some ten hours a day at his hardest, riding every day with Denison, and all of them in high spirits. But optics, algebra, geometry, calculus, trigonometry, and the rest, filled him with misgivings for the future. 'Every day I read, I am more and more thoroughly convinced of my incapacity for the subject.' 'My work continued and my reluctance to exertion increased with it.' For the Sunday before ...
— The Life of William Ewart Gladstone, Vol. 1 (of 3) - 1809-1859 • John Morley

... vibrates in sympathetic 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

... 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, in ...
— Curiosities of the Sky • Garrett Serviss

... bee finds a hive from a thousand sweets gathered from a thousand flowers. He was not only a great poet but a great philosopher. Richard III., Iago, and Falstaff are men who reverse the order of things, who place intellect at the head, whereas it ought to follow, like Geometry, to prove and to confirm. No man, either hero or saint, ever acted from an unmixed motive; for let him do what he will rightly, still Conscience whispers "it is your duty." Richard, laughing at conscience and sneering at religion, felt a confidence in ...
— Shakespeare, Ben Jonson, Beaumont and Fletcher • S. T. Coleridge

... the school-teacher gravely, "that I can show him how to read a little Latin and do a little geometry, but he knows as much in one day as I shall ever ...
— A Village Stradivarius • Kate Douglas Wiggin

... methods of study and learning. The pupil in a history class may be able to recite whole pages of the text almost verbatim, but when questioned as to the meaning of the events and facts show very little knowledge about them. A student confessed to her teacher that she had committed all her geometry lessons to memory instead of reasoning them out. She could in this way satisfy a careless teacher who did not take the trouble to inquire how the pupil had prepared her lessons, but she ...
— The Recitation • George Herbert Betts

... surging dimly through the universal consciousness, find interpreters in the men of genius; through them the moral and religious ideas of an epoch take form, and crystallize themselves in poetry and the arts—as the laws of the divine geometry are realized in the crystallizations of minerals. Poetry and the arts may be regarded as the sum of the absolute truths to the conception of which the masses have risen at any given period in the life ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various

... the history of the human race for the better are those chapters of the New Testament which teach us the great moral lessons of love, charity and forgiveness. As a handbook of astronomy, zoology, botany, geometry and all the other sciences, the venerable book is not entirely reliable. In the twelfth century, a second book was added to the mediaeval library, the great encyclopaedia of useful knowledge, compiled by Aristotle, the Greek philosopher of the fourth ...
— The Story of Mankind • Hendrik van Loon

... long, lanky legs were made for striding after culprits, and his arms for caning them. He taught, among other things, the classics, of course, the English language grammatically, arithmetic in all its branches, book-keeping in the Italian manner, and the elements of algebra, geometry, and trigonometry with their applications to surveying and navigation. He also wrote various sorts of hands, fearful and marvellous to the uninitiated, with which he was wont to decorate my monthly reports to my grandfather. I can shut my eyes and see now that wonderful hyperbola in the ...
— The Crossing • Winston Churchill

... study of languages, put out of the lad's reach all books treating his favorite subject. Thus shut up to his own resources, the masterful little fellow, about his eighth year, drawing charcoal diagrams on the floor, made perceptible progress in working out geometry for himself. At sixteen he produced a treatise on conic sections that excited the wonder and incredulity of Descartes. Later, he experimented in barometry, and pursued investigations in mechanics. Later still, he made what seemed to be approaches ...
— Classic French Course in English • William Cleaver Wilkinson

... "poundstones," "pundips," and other stony curiosities which lay scattered about the adjoining land, he yet enabled him to purchase a few of the necessary books wherewith to instruct himself in the rudiments of geometry and surveying; for the boy was already destined for the business of a land-surveyor. One of his marked characteristics, even as a youth, was the accuracy and keenness of his observation; and what he once clearly saw he never forgot. ...
— Self Help • Samuel Smiles

... appertain all the knowledge into which young men are initiated in the schools, and by which they are afterwards initiated into intelligence, which also are called by various names, as philosophy, physics, geometry, mechanics, chemistry, astronomy, jurisprudence, politics, ethics, history, and several others, by which, as by doors, an entrance is made into things rational, which are the ...
— The Delights of Wisdom Pertaining to Conjugial Love • Emanuel Swedenborg

... first, which has been already mentioned. Considering that some of these perturbations had never been discovered, that the cause of none of them had ever been known, and that he exhibited his results, if he did not also make the discoveries, by the synthetic methods of geometry, it is simply marvellous that he reached to such a degree of accuracy. He invented the infinitesimal calculus which is more suited for such calculations, but had he expressed his results in that language he would ...
— History of Astronomy • George Forbes

... a great library which contained over five hundred thousand volumes or rolls. There also was the museum or university, in which many learned men were at work. The best known of these men was Euclid, who perfected the mathematics which we call geometry, and Ptolemy, whose ideas about geography and the shape and size of the globe Columbus carefully studied before he set out on his great voyage. Alexandria was also a center of trade and commerce. From Alexandria, because its ships were the first foreign ships to be admitted to a Roman port, ...
— Introductory American History • Henry Eldridge Bourne and Elbert Jay Benton

... as a final idea, a conception of the last vividness. He might have been signifying by it the sharp corners and hard edges, all the stony pointedness, the grand right geometry of his spreading Palladian church. Just so, he was insensible to no feature of the felicity of a contact that, beguilingly, almost confoundingly, was a contact but with practically yielding lines and curved surfaces. "You're round, ...
— The Golden Bowl • Henry James

... there stood a gate of marble white, Westward right such another opposite. And, shortly to conclude, such a place Was never on earth made in so little space, For in the land there was no craftes-man, That geometry or arsmetrike* can**, *arithmetic **knew Nor pourtrayor*, nor carver of images, *portrait painter That Theseus ne gave him meat and wages The theatre to make and to devise. And for to do his rite and sacrifice He eastward hath upon the gate above, In worship ...
— The Canterbury Tales and Other Poems • Geoffrey Chaucer

... had not been attended with much success or emolument, yet Columbus's zeal was not thereby damped; and his parents, still anxious that their son should pursue the same line which his ancestors had done, strained every nerve to give him a suitable education. He was accordingly taught geometry, astronomy, geography, and drawing. As soon as his time of life and his education qualified him for the business he had chosen, he went to sea; he was then fourteen years old. His first voyages were from Genoa, ...
— Robert Kerr's General History and Collection of Voyages and Travels, Volume 18 • William Stevenson

... years old, to a boarding-school, in order to learn a little ingenuity and artifice. Then, sir, she should have a supercilious knowledge in accounts;—and as she grew up, I would have her instructed in geometry, that she might know something of the contagious countries;—but above all, Sir Anthony, she should be mistress of orthodoxy, that she might not mis-spell, and mis-pronounce words so shamefully as girls usually do; and likewise that she might reprehend the true meaning ...
— The Rivals - A Comedy • Richard Brinsley Sheridan

... Practical Printer, who is competent to take charge of any department in a printing and publishing house. Would accept a professorship in any of the academies. Has no objection to teach ornamental painting and penmanship, geometry, trigonometry, and many other sciences. Has had some experience as a lay preacher. Would have no objection to form a small class of young ladies and gentlemen to instruct them in the higher branches. To a dentist ...
— Pushing to the Front • Orison Swett Marden

... touch a law book. If you can get a college education, do not "read law" while you are at college. If you go to college, do not take what is known as the "scientific" course, or "physical" course. Take the classical course. Next to geometry and logarithms and the Bible, the best discipline preparatory to making you a lawyer is the translation of Latin. Latin is the most logical language the world has ever seen, or is likely ...
— The Young Man and the World • Albert J. Beveridge

... never subject himself to the tedious fatigue of calculations, nor to the dry pursuit of mathematical truths, which do not at first present any sensible objects to the mind; and no one has given better proofs than he, that it is possible for a man to have a geometrical head without the assistance of geometry. Before his time, several great philosophers had declared, in the most positive terms, what the soul of man is; but as these absolutely knew nothing about it, they might very well be allowed to differ entirely in opinion from ...
— Letters on England • Voltaire

... their judgment who are only instructed in the principles of the art than of those who practise it: and with respect to elections the same method of proceeding seems right; for to elect a proper person in any science is the business of those who are skilful therein; as in geometry, of geometricians; in steering, of steersmen: but if some individuals should know something of particular arts and works, they do not know more than the professors of them: so that even upon this principle neither the election of magistrates, ...
— Politics - A Treatise on Government • Aristotle

... dissipation were as yet new to me, and I was no enemy to social life. Here, though I learnt to look unconcernedly on a large tavern bill and mix without fear in a drunken squabble, yet I went on with a high hand in my geometry.' ...
— Robert Burns - Famous Scots Series • Gabriel Setoun

... is, as an experience of the heart. What he dreads in space is that the heart should be possessed by it, and transformed into it. He dreads that the imagination should be fascinated by the homogeneous and static, hypnotised by geometry, and actually lost in Auseinandersein. This would be a real death and petrifaction of consciousness, frozen into contemplation of a monotonous infinite void. What is warm and desirable is rather the sense of variety and succession, ...
— Winds Of Doctrine - Studies in Contemporary Opinion • George Santayana

... Geometry originated with the Egyptians, and their knowledge of hydrostatics and mechanics (shown in the building of the Pyramids), and of astronomy and medicine, is of remotest antiquity. The Greeks borrowed largely from them, and then became in turn their teacher. The Egyptian priests, ...
— The Interdependence of Literature • Georgina Pell Curtis

... his family. Catenac's relatives were poor, and I, well, I had no family. I stood alone. We were literally starving, and I was the only one earning money. I prepared pupils for the military colleges, but as I only earned twenty-five sous a day by cramming a dull boy's brain with algebra and geometry, that was not enough to feed us all. Well, to cut a long story short, the day came when we had not a coin among us. I forgot to tell you that I was devotedly attached to a young girl who was dying of consumption, and who had neither food nor fuel. What could I do? I knew not. Half mad, ...
— Caught In The Net • Emile Gaboriau

... Tactometria, sev. Tetagmenometria; or, the Geometry of Regulars, practically proposed, after a new and most expeditious manner, (together with the Natural or Vulgar, by way of Mensural comparison) and in the Solids, not only in respect of Magnitude or Demension, but also of Gravity or Ponderosity, according to any Metall assigned: together ...
— The Compleat Cook • Anonymous, given as "W. M."

... mathematician comes closer to God than any other, since his mind is trained to conceive and formulate the magnificent phantoms of legality. He smiled to think that any one should presume to become a parson without having at least mastered analytical geometry. ...
— Where the Blue Begins • Christopher Morley

... l'objection quelconque, MEME INSOLUBLE, ne doit plus etre ecoutee.' Suppose, for example, that by a consensus of testimony it were perfectly proved that Archimedes set fire to the fleet of Marcellus by a burning-glass; then all the objections of geometry disappear. Prove if you can, and if you choose, that by certain laws a glass, in order to be capable of setting fire to the Roman fleet, must have been as big as the whole city of Syracuse, and ask me what answer I have to make to that. 'J'ai a vous repondre qu'Archimede ...
— Critical Miscellanies (Vol. 2 of 3) - Essay 4: Joseph de Maistre • John Morley

... Bishopsgate, after the decease of his wife, to the mayor and corporation of the city and to the wardens and commonalty of the Mercers' Company in equal moieties in trust (inter alia) for the maintenance of seven lectures on the several subjects of Divinity, Astronomy, Music, Geometry, Law, Physic and Rhetoric. In 1596 these two corporate bodies came into possession of the property, and in the following year drew up ordinances for the regulation of the various lectures. According to the terms of Gresham's will the lectures were delivered at Gresham House. When Gresham House, ...
— London and the Kingdom - Volume I • Reginald R. Sharpe

... scent a teasing delicate fragrance arising; and beneath, in a clear, firm hand, she stroked in the name, Jane Meredith. She went over her work carefully, then laid it flat on a piece of cardboard, shoved it into an envelope, directed it to the editor of Everybody's Home, laid it inside her geometry, and wrote her letter to ...
— Her Father's Daughter • Gene Stratton-Porter

... acquiring that knowledge and those powers of Intellect which are necessary as the 'foundation' of excellence in all professions, rather than the immediate science of 'any'. 'Languages' will engross one or two hours in every day: the 'elements' of Chemistry, Geometry, Mechanics, and Optics the remaining hours of study. After tolerable proficiency in these, we shall proceed to the study of 'Man' and of 'Men'—I mean, Metaphysics and History—and finally, to a thorough examination of the Jewish and Christian Dispensations, ...
— Biographia Epistolaris, Volume 1. • Coleridge, ed. Turnbull

... the others, the Twentieth Century will be democratic. The greatest discovery of the Nineteenth Century was that of the reality of external things. That of the Twentieth Century will be this axiom in social geometry: "A straight line is the shortest distance between two points." If something needs doing, do it; the more ...
— The Call of the Twentieth Century • David Starr Jordan

... 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 the whole ...
— Syd Belton - The Boy who would not go to Sea • George Manville Fenn

... practical and definite thing to work with; in later life to believe, and to approve of, or disbelieve, and disapprove of. If a man wishes to build a house, does it fetter him to know square measure, cubic contents, geometry, mensuration, and mechanical laws? Yet when he builds his house, he builds it in his own individual way; he stamps it with his own personality and ideas. While building it, perchance, he discovers some ...
— The Warriors • Lindsay, Anna Robertson Brown

... the Temple of Vulcan, and dug the great Lake called the Lake of Moeris, and upon the bottom of it built two great Pyramids of brick: and these things being not mentioned by Homer or Hesiod, were unknown to them, and done after their days. Moeris wrote also a book of Geometry. ...
— The Chronology of Ancient Kingdoms Amended • Isaac Newton

... science is to lead men to the knowledge of abstract, essential, eternal truth. [Plato's Republic, Book vii.] Indeed, if we are to believe Plutarch, Plato carried this feeling so far that he considered geometry as degraded by being applied to any purpose of vulgar utility. Archytas, it seems, had framed machines of extraordinary power on mathematical principles. [Plutarch, Sympos. viii. and Life of Marcellus. The machines of Archytas are also mentioned by Aulus Gellius and ...
— Critical and Historical Essays Volume 2 • Thomas Babington Macaulay

... west-wind cloud. Does he subsist upon air or odor, that he is forever upon the wing, and never deigns to pick a seed or crumb from the earth? Is he an embodied thought projected from the brain of some mad poet in the dim past, and sent to teach us a higher geometry of curves and spirals? See him with that feather high in air, dropping it and snapping it up again in the very glee of superabundant vitality, and in his sudden evolutions and spiral gambollings seeming more a creature of the imagination than of ...
— The Atlantic Monthly, Volume 15, No. 91, May, 1865 • Various

... his treatise on "The World; or on Light," an epitome of his "Physics," which, however, he deemed it wise, in view of Galileo's fate, to withhold from publication during his lifetime. Besides the "Discourse on Method" (1637), with the treatises on dioptrics, meteors, and geometry, his principal works were his "Meditations" addressed to the Deans of the Faculty of Theology in the University of Paris; the "Principia Philosophiae," and the "Traite des Passions de L'Ame," in which, he handled morals. ...
— The Worlds Greatest Books, Volume XIII. - Religion and Philosophy • Various

... perhaps a high Algebra of the Soul by which, if we understood its laws, we could revive the history of any past epoch, discover its thought and modes of living, as we discover the value of the unknown factor in an equation. Pythagoras must have his pupils understand music and geometry; and by music he intended, all the arts, every department of life that came under the sway of the Nine Muses. Why?—Because, as he taught, God is Poet and Geometer. Chaos is only on the outer rim ...
— The Crest-Wave of Evolution • Kenneth Morris

... imagination; only poetry inspires poetry. They become the organic culture of the time. College education is the reading of certain books which the common sense of all scholars agrees will represent the science already accumulated. If you know that,—for instance, in geometry, if you have read Euclid and Laplace,—your opinion has some value; if you do not know these, you are not entitled to give any opinion on the subject. Whenever any skeptic or bigot claims to be heard on ...
— The Atlantic Monthly, Vol. I., No. 3, January 1858 - A Magazine of Literature, Art, and Politics • Various

... tilted carts at which he worked in Vian's shop, those carts which he had lovingly cherished, now seemed unworthy of his affections. He began to attend the local drawing-school, where he formed a connection with a youngster who had left college, and who lent him an old treatise on geometry. He plunged into this study without a guide, racking his brains for weeks together in order to grasp the simplest problem in the world. In this matter he gradually became one of those learned workmen who can hardly sign their name and yet talk about algebra ...
— The Fortune of the Rougons • Emile Zola

... 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 judgment thereupon, but very ...
— William Lilly's History of His Life and Times - From the Year 1602 to 1681 • William Lilly

... either pure or mixed. To the pure mathematics are those sciences belonging which handle quantity determinate, merely severed from any axioms of natural philosophy; and these are two, geometry and arithmetic, the one handling quantity continued, and the other dissevered. Mixed hath for subject some axioms or parts of natural philosophy, and considereth quantity determined, as it is auxiliary and ...
— The Advancement of Learning • Francis Bacon

... and I just straightened up and walked! Mr. Durant talked to us some about our lessons. He seemed pleased when we told him we liked geometry. When we got back to the college we told the girls about meeting Mr. Durant. I guess nobody will want to dawdle along after this; I'm ...
— The Story of Wellesley • Florence Converse

... endless succession of surprises and delights. In behalf of the utmost tale of results, the inquirer should summon to his aid his rules of evidence, his common sense, his love of fair play, and the inexorable logic of his youthful geometry. ...
— The Minds and Manners of Wild Animals • William T. Hornaday

... interesting Life of the explorer, 'and an irresistible inclination for the sea.... His father, seeing the bent of his mind, endeavoured to give him an education suitable for maritime life. He sent him, therefore, to the university of Pavia, where he was instructed in geometry, geography, astronomy and navigation.... He remained but a short time at Pavia, barely sufficient to give him the rudiments of the necessary sciences; the thorough acquaintance with them which he displayed in after-life must have been the result of diligent self-schooling, and ...
— The Curse of Education • Harold E. Gorst

... no mathematics higher than elementary algebra and geometry is introduced; in the foot-notes and in the Appendix an occasional trigonometric formula appears, for the benefit of the very considerable number of high school students who understand such expressions. This fact should be particularly ...
— Elements of Structural and Systematic Botany - For High Schools and Elementary College Courses • Douglas Houghton Campbell

... that I may make myself capable of that freedom of moral being, without which heaven would be no heaven to me." Now this very thought tends to annihilate self. For what is a self not distinguished from any other self, but like an individual circle in geometry, uncoloured, and the representative of all other circles. The circle is differenced, indeed, from a triangle or square; so is a virtuous soul from a vicious soul, a soul in bliss from a soul in misery, but no wise distinguished from other souls under the same predicament. ...
— Literary Remains (1) • Coleridge

... omnipresent. You travel ten, twenty, thirty miles up or down the river's banks, you ramble fifteen miles among the hills on either side, and then, when you have long since forgotten them, perchance slept on them by the way, at a turn of the road or of your body, there they are still with their geometry against the sky.... ...
— Picturesque Quebec • James MacPherson Le Moine

... called putting the place to rights. This meant taking out the contents of bureau drawers and wardrobes and putting them back again, massing the litter on the big table in the living-room into an involved geometry of neat piles that would endure for all of an hour, straightening pictures on the walls, eliminating the home-circles of spiders long unmolested, loudly calling upon Lew Wee, the Chinaman, who affrightedly fled farther and farther after each call, and ever and again booming pained ...
— Somewhere in Red Gap • Harry Leon Wilson

... few years at his trade in the south of Scotland, was a great reader, wrote very tolerable prose, and verse which, if not poetry, to which he made no pretensions, was at least quaintly-turned rhyme. He had, besides, a competent knowledge of geometry, and was skilled in architectural drawing; and—strange accomplishment for a Celt—he was an adept in the noble science of self-defence. But George never sought out quarrels; and such was his amount of bone and muscle, and such the expression of manly resolution stamped on his countenance, ...
— My Schools and Schoolmasters - or The Story of my Education. • Hugh Miller

... be well supplied with spelling-books, reading-books, arithmetics, and grammars in the modern language, also with works on geometry and trigonometry. There was, therefore, much less preparatory work to be done for them in the way of education, than was supposed. A geography was needed, and the part relating to ancient Armenia was ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume I. • Rufus Anderson

... The first edition of Cocker's Arithmetic was published about 1660. Brit. Mus. Cata. Though Johnson says that 'a book of science is inexhaustible,' yet in The Rambler, No. 154, he asserts that 'the principles of arithmetick and geometry may be comprehended by a close attention in a few days.' Mrs. Piozzi says (Anec. p. 77) that 'when Mr. Johnson felt his fancy disordered, his constant recurrence was to arithmetic; and one day that he was confined to his chamber, and I enquired ...
— Life Of Johnson, Volume 5 • Boswell

... one 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 ...
— South Wind • Norman Douglas

... small, her principal virtues being devotion to children and ability to gain their love, and a power of evolving a schoolroom order so natural, cheery, serene, and peaceful that it gave the beholder a certain sense of being in a district heaven. She was poor in arithmetic and weak in geometry, but if you gave her a rose, a bit of ribbon, and a seven-by-nine looking-glass she could make herself as pretty as a ...
— New Chronicles of Rebecca • Kate Douglas Wiggin

... should represent truly and effectively, with a reasonable approach to the balance of real social forces, the wishes and needs of the communities themselves. That is the object of the Government, and in face of a great problem of that kind, algebra, arithmetic, geometry, logic—none of these things will do your business for you. You have to look at it widely and away from those sciences, excellent in their place, but not of much service when you are solving awkward political riddles. I think if you allow some method of leaving to a local authority ...
— Indian speeches (1907-1909) • John Morley (AKA Viscount Morley)

... 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 a mere surface. A door so thin as to ...
— An Introduction to Philosophy • George Stuart Fullerton

... daylight. Just so some men have an eye for an equation, and would read at sight the one that you puzzled over. It is told of Sir Isaac Newton that he required no demonstration of the propositions in Euclid's Geometry, but as soon as he had read the enunciation the solution or answer was plain at once. The power may be cultivated, but I think it is to a great degree a natural gift, as is the eye for color, as is the ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... 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

... different things on the two different sides of the Tweed. The academical authorities at Cambridge and Oxford stand in a parental relation to the student. They undertake, not merely to instruct him in philology, geometry, natural philosophy, but to form his religious opinions, and to watch over his morals. He is to be bred a Churchman. At Cambridge, he cannot graduate, at Oxford, I believe, he cannot matriculate, without ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay

... 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 a rule and compasses, and that he made calculations. Upon inquiring into the uses of ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 20, No. - 581, Saturday, December 15, 1832 • Various

... always accordant with true reasoning, so self-prompting, that a hint of the problem is all they ask to arrive at its demonstration. Blaise Pascal, when a boy of twelve, whose education had been carefully restrained, once asked his father what is geometry. The latter replied that it is a method devised to draw figures correctly, but forbade any further inquiry about it. On this hint Pascal, by himself, unassisted, without so much as knowing the name of a line or circle, reached in a few weeks ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton

... made on the libraries at Oxford. Books and manuscripts were destroyed without distinction: the volumes of divinity from the council books, suffered for their rich binding: those of literature were condemned as useless: those of geometry and astronomy were supposed to contain nothing but necromancy.[*] The university had not power to oppose these barbarous violences: they were in danger of losing their own revenues; and expected every moment to be swallowed up by the earl ...
— The History of England in Three Volumes, Vol.I., Part C. - From Henry VII. to Mary • David Hume

... pushed ahead of where he belonged when he was put into history; proof that he had been put to the task of acquiring history before he had had a single lesson in the art of acquiring it, which is the equivalent of dumping a pupil into geometry before he has learned the progressive steps which lead up to it and make its acquirement possible. Those Calcutta novices had no business with history. There was no excuse for examining them in it, no excuse for exposing them and their ...
— Innocents abroad • Mark Twain

... dichromatic, digraph *Didonai, dosis give dose, apodosis, anecdote *Dynamis power dynamite, dynasty *Eidos form, thing seen idol, kaleidoscope, anthropoid *Ethnos race, nation ethnic, ethnology Eu well euphemism, eulogy *Gamos marriage cryptogam, bigamy *Ge earth geography, geometry Genos family, race gentle, engender Gramma writing monogram, grammar Grapho write telegraph, lithograph *Haima blood hematite, hemorrhage, anemia *Heteros other heterodox, heterogeneous *Homos same homonym, homeopathy *Hydor water hydraulics, hydrophobia, hydrant *Isos equal isosceles, ...
— The Century Vocabulary Builder • Creever & Bachelor

... began by her writing notes to claim her bills, and to take steps to get her capital into her own hands. Owen drowned reflection in geometry, till it was time to go by ...
— Hopes and Fears - scenes from the life of a spinster • Charlotte M. Yonge

... in the opposite. Our common-school system now rejects sewing from the education of girls, which very properly used to occupy many hours daily in school a generation ago. The daughters of laborers and artisans are put through algebra, geometry, trigonometry, and the higher mathematics, to the entire neglect of that learning which belongs distinctively to woman. A girl cannot keep pace with her class, if she gives any time to domestic matters; and accordingly she is excused from them all during the whole term of her education. ...
— Atlantic Monthly, Volume 14, No. 84, October, 1864 - A Magazine Of Literature, Art, And Politics • Various

... Abbott said, gravely pointing. She obeyed without a word, leaving the geometry as hostage in the teacher's hand. When seated at a discreet distance, she looked over at Bob Clinton. He hastily drew on his spectacles, that ...
— Fran • John Breckenridge Ellis

... not confine itself to the construction of quantities (quanta), as in the case of geometry; it occupies itself with pure quantity also (quantitas), as in the case of algebra, where complete abstraction is made of the properties of the object indicated by the conception of quantity. In algebra, a certain method of notation ...
— The Critique of Pure Reason • Immanuel Kant

... them scientific slants of mind and he always had to figure why he was supposed to do a certain thing a certain way. Once he'd found out the reason he was satisfied. Professor Tweedy, our "math" teacher, used to say that "Rus" was a "natural born thinker." But geometry and trigonometry weren't the only subjects that "Rus" approached from all angles. He used his bean ...
— Interference and Other Football Stories • Harold M. Sherman

... night, he cast aside all his plans and concentrated on the one star. He witnessed an unprecedented event. Mercia's nullifier had just been invented, a curious and intricate device, based on four-dimensional geometry, that made it possible to see occurrences in the universe which had hitherto required the hundreds of years needed for light to cross the intervening space before they were visible on Earth. By a hasty calculation with the aid of this invention, Phobar found ...
— Raiders of the Universes • Donald Wandrei

... fashion of the time it works by deduction, after the method of Rousseau, according to an abstract notion of right, of the State and of the social compact.[2126] According to this process, by virtue of political geometry alone, they shall have the perfect vessel and since it perfect it follows that it will sail, and that much better than any empirical craft.—They legislate according to this principle, and one may imagine the nature of their discussions. ...
— The Origins of Contemporary France, Volume 2 (of 6) - The French Revolution, Volume 1 (of 3) • Hippolyte A. Taine

... 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. ...
— Narrative And Miscellaneous Papers • Thomas De Quincey

... "There's a way out of it, and the simplest way on earth. It's so infernally simple that we've all overlooked it. It narrows down to a simple problem in geometry. Do you ...
— The Lost Valley • J. M. Walsh

... mystic in their moments of vision are not the paradoxes—the paronomasia as it were—of an intoxicated state of consciousness, but glimpses of reality. We are all of us participators in a world of concrete music, geometry and number—a world of sounds, odors, forms, motions, colors, so mathematically related and coordinated that our pigmy bodies, equally with the farthest star, vibrate to the music of the spheres. ...
— The Beautiful Necessity • Claude Fayette Bragdon

... hear you apply the dreadful knowledge with which you strip from all things human the properties that time and space and form have given them, and consider them mathematically in the abstract, as geometry treats substances from ...
— Seraphita • Honore de Balzac

... such, too, was Sextus Empiricus, so often critical of science, who demonstrates (as to a slight extent M. Henri Poincare does in our own day) that all sciences, even those which, like mathematics and geometry, are proudest of their certainty, rest upon conventions and ...
— Initiation into Philosophy • Emile Faguet

... of Lincoln, Shakespeare and the Bible served, not merely to awaken his taste and fashion his style, but also to liberate his literary and moral imagination. At the same time he was training his powers of thought by an assiduous study of algebra and geometry. The absorbing hours he spent over his Euclid were apparently of no use to him in his profession; but Lincoln was in his way an intellectual gymnast and enjoyed the exertion for its own sake. Such a use of his leisure must have seemed a sheer waste of time to his more practical friends, and they ...
— The Promise Of American Life • Herbert David Croly

... again with the idea of Liberty: and it is only because we had knowledge presented to us at an age when we thought more attentively of apples, that we still fail to recognise in Euclid and Dr Todhunter two writers who are excellent because possessed with a passion for Geometry. ...
— On The Art of Reading • Arthur Quiller-Couch

... he taught those who came to him for instruction in the grove named Academus, near the Cephisus, and thus founded the first great philosophical school, over which he continued to preside until the day of his death. Above the entrance to this grove was inscribed the legend: "Let no one ignorant of geometry enter here." Here he was attended by persons of every description, among the more illustrious of whom were ...
— Apology, Crito, and Phaedo of Socrates • Plato

... more than seven feet high, who conquered, not only all Ethiopia, but also Europe and Asia; his columns were said to be found in Palestine, Asia Minor, Scythia, and Thrace; he left a colony at Colchis, the city of the golden fleece; he dug all the canals by which Egypt was intersected; he invented geometry; he set up colossi above fifty feet high; he was the greatest monarch that had ruled Egypt since ...
— Ancient Egypt • George Rawlinson

... scientific discoveries are, and they are unique in ancient literature, [Footnote: They are general and definite. This distinguishes them, for instance, from Plato's incidental hint in the Republic as to the prospect of the future development of solid geometry.] they were far from adumbrating a doctrine of the Progress of man. For him, as for Plato and the older philosophers, time is the enemy of man. [Footnote: The quotations and the references here will be found in Nat. Quaest. i. Praef.; Epist. 104, Sec. 16 (cp. 110, Sec. 8; 117, Sec. ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury

... second year, Exegesis, Isaiah, Daniel, and Revelation, Geometry, Natural Philosophy, and Astronomy, Rhetoric in Ancient Armenian, Evidences of ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume II. • Rufus Anderson

... a great variety of uses. It serves him in some of the games he plays. When I saw the boys in geometry use their queues to strike an arc or draw a circle, it reminded me of my college days when I had forgotten to take a string to class. The laborer spreads a handkerchief or towel over his head, wraps his queue around it and makes for himself ...
— The Chinese Boy and Girl • Isaac Taylor Headland

... use of ambiguity.[184:6] It is natural that in its first conscious self-criticism thought should discover the need of definite terms. The perpetual importance of definition has been largely due to the great prestige in modern philosophy of the method of geometry, which was regarded by Descartes and Spinoza as the model ...
— The Approach to Philosophy • Ralph Barton Perry

... circles, and squares which he has known in his 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 ...
— Essays Towards a Theory of Knowledge • Alexander Philip

... scene stretched away before them. Bare, burning sand, strewn with curiously colored rocks, lay piled in strange chaos; then he realized there was an odd, but perceptible geometry to their arrangement. They showed alternate crystal and opaque faces. Old Rugel noted his look ...
— The Colors of Space • Marion Zimmer Bradley

... moonbeams came down athwart the dormitory through the great windows, and lay in broad parallelograms, bisected and quartered, upon the floor. We got our geometry lesson out of the figures, and reeled off a whole section of theorems, without the least effect. That ought, by rights, to be enough to set a whole houseful of boys journeying into the Land of Nod, but ...
— The Little Gold Miners of the Sierras and Other Stories • Various

... always possessed very little. And liking for study, none whatever. Sacred history, or any other history, Latin, French, rhetoric and natural history have interested me not at all. The only subjects for which I cared somewhat, were geometry and physics. ...
— Youth and Egolatry • Pio Baroja

... played a prominent part in society during the Regency, but who had no salon in the proper sense of that word, was Mme. du Chatelet, commonly called Voltaire's Emilie. She was especially interested in sciences, mathematics, geometry, and astronomy, and did more than any other woman of that time to encourage nature study. It was at her Chateau de Cirey that Voltaire found protection when threatened with a second visit to the Bastille; and there, from time to time ...
— Women of Modern France - Woman In All Ages And In All Countries • Hugo P. Thieme

... then, nature impress us as the outcome of chance? If we saw a faultlessly 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 ...
— Problems of Immanence - Studies Critical and Constructive • J. Warschauer

... variability would not be excluded from it; for example, 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, ...
— The Certainty of a Future Life in Mars • L. P. Gratacap

... beyond our horizon, that is beyond our limit, there still must be something? You will answer, 'How do we know that?' Well, can there be any boundary without something beyond it? Is not that as true as any theorem in geometry? If it were not so, how could we explain the fact that mankind has never been without a belief in a world beyond, nor without religion, either in the lowest or in ...
— The Silesian Horseherd - Questions of the Hour • Friedrich Max Mueller

... scholars, he had predicted his pupil's subsequent career. In fact, to the name of Bonaparte the following note is added: "a Corsican by birth and character—he will do something great, if circumstances favour him." Menge was his instructor in geometry, who also entertained a high opinion of him. M. Bauer, his German master, was the only one who saw nothing in him, and was surprised at being told he was undergoing his examination for ...
— Memoirs of Napoleon Bonaparte, Complete • Louis Antoine Fauvelet de Bourrienne

... of preparation for future numbers, some large and elegant engravings, illustrative of some of the most interest and deeply scientific new inventions, together with illustrations of architecture, geometry and magnetism. Also a variety of ...
— Scientific American magazine, Vol. 2 Issue 1 • Various

... polygamy, misogamist. GAS'TER, the stomach—gastric, gastronomy. GE, the earth—geography, geology, geological, geometry, George, apogee, perigee. GEN'NAEIN, to produce—genealogy, genesis, heterogeneous, homogeneous, hydrogen, nitrogen, oxygen. GIGNOS'KEIN, to know—diagnosis, diagnostic, prognosticate. GLOS'SA, GLOT'TA, the tongue—glossary, ...
— New Word-Analysis - Or, School Etymology of English Derivative Words • William Swinton

... is a subjective reaction to a pleasing form. It is the same reaction that prompted artists to use tools as vehicles to help convey lessons in perspective, a frequent practice in 19th-century art manuals. The harmony of related parts—the balance of shaft and handle or the geometry of the twist—makes the auger a decorative object. This is not to say that the ancient woodworker's tool is not a document attesting a society's technical proficiency—ingenuity, craftsmanship, and productivity. It is only to suggest again that it is something ...
— Woodworking Tools 1600-1900 • Peter C. Welsh

... viewed in the light in which they are here presented, are rather special branches of Mathematics, than distinct Sciences. But as we often speak of Geometry as a separate Science, although it is in reality only a division of the Mathematical domain, and is so classed by Comte; so there is a sense in which both Astronomy and Physics, as herein defined, may be ...
— Continental Monthly, Vol. 5, Issue 2, February, 1864 • Various

... simply beyond my understanding altogether. Like geometry, you know. But I forgot to ask Nat something. I wonder if he has gone up to his room yet?" and Tavia ...
— Dorothy Dale's Queer Holidays • Margaret Penrose

... in two parts, the trivium —grammar, rhetoric, and logic, and the quadrivium— music, astronomy, geometry, and arithmetic. These were the seven liberal arts. A fresco in a chapel in the Church of S. Maria Novella at Florence illustrates these arts. On the right of the cartoon is the figure of grammar; beneath is Priscian. For the study of this subject John Garland recommended Priscian and Donatus. Priscian ...
— Old English Libraries, The Making, Collection, and Use of Books • Ernest A. Savage

... had not been a burden to her. She had her father's aptitude for study, and took up an original problem in geometry as most girls take ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird

... about the Arctic regions, and the history of dancing from the days of Old Adam down to those of Old Nick, he couldn't write up a satisfactory account of the Ice-Men's Ball. Could prove that two and two made four by trigonometry and geometry, but couldn't learn to keep books; was thick as thieves with all the high-toned poets, but couldn't write a good, snappy, merchantable street-car ad.; knew a thousand diseases that would take a man off before he could ...
— Letters from a Self-Made Merchant to His Son • George Horace Lorimer

... geometry is essential to a successful architect; in fact, he should be expert in all branches of mathematics, as well as a good draughtsman. See answer to "Arch-I-Tect," in No. 42, Vol. 13, for your other questions, to which it is only necessary to add that architects are paid according ...
— Golden Days for Boys and Girls - Volume XIII, No. 51: November 12, 1892 • Various

... doing more for her than merely teaching her to spell. We talked about what she copied; and I had to explain. I also told her about the writers. Soon she expressed a desire to know something of figures. We commenced arithmetic. I proposed geometry along with it, and found the latter especially fitted to her powers. One by one we included several other necessary branches; and ere long I had four around the schoolroom table—equally my pupils. Whether the attempts previously made to instruct her had been insufficient or ...
— The Portent & Other Stories • George MacDonald

... head in 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 against my ...
— The Silver Horde • Rex Beach

... which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot

... quadrivials, the quadrivium, the four higher sciences: astrology, geometry, arithmetic, music, S3 (14. 511).—From Late Lat. quadrivium, the four mathematical sciences; in Lat. aplace where ...
— A Concise Dictionary of Middle English - From A.D. 1150 To 1580 • A. L. Mayhew and Walter W. Skeat

... the Sixth Form assembled for the lesson in Geometry was on the top floor of the Study building; the windows overlooked the pond behind the Gymnasium. The teacher's desk was on a platform in the corner; a blackboard extended along two walls; and there were steps beneath the blackboard on which the students ...
— The Jester of St. Timothy's • Arthur Stanwood Pier

... of life these dispositions break out. When these natural aptitudes are pushed beyond the usual limit, we find famous examples that history has cherished, and that we love to recall. There is Pascal, mastering at the age of twelve years the greater part of Plane Geometry without any instruction, and not a figment of Calculus, drawing on the floor of his chamber all the figures in the first book of Euclid, estimating accurately the mathematical relations of them all—that is, reconstructing for himself a part of descriptive Geometry; the herdsman Mangia ...
— Reincarnation and the Law of Karma - A Study of the Old-New World-Doctrine of Rebirth, and Spiritual Cause and Effect • William Walker Atkinson

... of theology and state affairs) to discourse and consider of philosophical enquiries, and such as related thereunto:—as Physick, Anatomy, Geometry, Astronomy, Navigation, Staticks, Magneticks, Chymicks, Mechanicks, and Natural Experiments; with the state of these studies and their cultivation at home and abroad. We then discoursed of the circulation of the blood, the valves in the veins, the venae lacteae, the lymphatic ...
— Autobiography and Selected Essays • Thomas Henry Huxley

... the Seven Wise Masters; and we have the beginnings of geometry, metaphysics, and ethics: then the partialists,—deducing the origin of things from flux or water, or from air, or from fire, or from mind. All mix with these causes mythologic pictures. At last, comes Plato, the distributor, who needs no ...
— Representative Men • Ralph Waldo Emerson

... was the study his father 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 ...
— The Red Book of Heroes • Leonora Blanche Lang

... mathematical discipline. Hence, he asserts of theoretic arithmetic that it imparts no small aid to our ascent to real being, and that it liberates us from the wandering and ignorance about a sensible nature. Geometry too is considered by him as most instrumental to the knowledge of the good, when it is not pursued for the sake of practical purposes, but as the means of ascent to an intelligible essence. Astronomy also is useful for the purpose of investigating ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor

... present number. In France, it is divided into a Faculte des Lettres and a Faculte des Sciences. The present comprehensive use of the term is but an extension of the Middle-Age division of the liberal arts into the Trivium,—Grammar, Rhetoric, Dialectics,—and the Quadrivium,—Arithmetic, Music, Geometry, and Astronomy,—as expressed in ...
— Atlantic Monthly, Volume 7, Issue 41, March, 1861 • Various

... they take for falsehood. And if Christians, they are both irreverent and blind to all analogy. The Messiah, with His Divine mission proved by miracles which all might see who chose to look, is degraded into a prototype of James Laurie, ingeniously astronomizing upon ignorant geometry and false logic, and comparing to blockheads those who expose his nonsense. Their comparison is as foolish as—supposing {6} them Christians—it is profane: but, like errors in general, its other ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... 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 ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various

... arithmetician, cunning enough for multiplication and addition, but cannot abide subtraction: summa totalis is the language of his Canaan, and usque ad ultimum quadrantem the period of all his charity. For any skill in geometry I dare not commend him, for he could never yet find out the dimensions of his own conscience; notwithstanding he hath many bottoms, it seemeth this is always bottomless. And so with a libera nos a malo I leave you, promising to amend whatsoever is ...
— Character Writings of the 17th Century • Various

... 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 ...
— A Romance of Youth, Complete • Francois Coppee

... the wrang. We had no richt to speik aboot things 'at only twa kent, whan there was three walkin' thegither.—Ye see, Miss Elsie, her an' me was at the schuil thegither, an' we happent to tak' up wi' the same kin' o' thing, partic'larly algebra an' geometry, an' can ill haud oor tongues frae them whan we forgather. The day, it's been to the prejudice o' oor mainners, an' I beg ye ...
— Warlock o' Glenwarlock • George MacDonald

... Condorcet, Algebra, and Geometry of Clairaut, the Trigonometry of Lacroix or Legendre, to form ...
— How to Form a Library, 2nd ed • H. B. Wheatley

... Oriental rug, are quite as correct in drawing and as little of a puzzle. As men became more intelligent, hence spiritualised, they began to express themselves in ideal ways; to glorify the commonplace; and thus they passed from Egyptian geometry to ...
— Pictures Every Child Should Know • Dolores Bacon

... The creature described by Berosus lived in the Persian Gulf, landing during the day to teach the inhabitants the building of houses and temples, the cultivation of useful plants, the gathering of fruits, and also geometry, law, and letters. From him, too, came the account of the beginning of things referred to in chapter III. which, in the original Greek, is preceded by a description of the composite monsters said to have existed before Merodach assumed ...
— The Religion of Babylonia and Assyria • Theophilus G. Pinches

... root of the matter. There is rather the implication in most of the criticisms and praises that the scenery is abstract. Quite the contrary is the case. Indoors looks like indoors. Streets are always streets, roofs are always roofs. The actors do not move about in a kind of crazy geometry as I was led to believe. The scenery is oppressive, but sane, and the obsession is for the most part expressed in the acting and plot. The fair looks like a fair and the library looks like a library. There is nothing experimental about ...
— The Art Of The Moving Picture • Vachel Lindsay

... reason that all the ancients attributed the invention of geometry to the Egyptians. The perpetual encroachments of the Nile and the displacements it occasioned, the facility with which it effaced the boundaries of the fields, and in one summer modified the whole face of a nome, had forced them from early times to measure with the greatest exactitude ...
— History Of Egypt, Chaldaea, Syria, Babylonia, and Assyria, Volume 2 (of 12) • G. Maspero

... 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, ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper

... or of an orator. His attention had been confined to those studies which form strenuous and sagacious men of business. From a child he listened with interest when high questions of alliance, finance, and war were discussed. Of geometry he learned as much as was necessary for the construction of a ravelin or a hornwork. Of languages, by the help of a memory singularly powerful, he learned as much as was necessary to enable him to comprehend and answer without assistance everything that was said to him, and every ...
— The History of England from the Accession of James II. - Volume 2 (of 5) • Thomas Babington Macaulay

... a school-boy who being unable to master a school-problem in geometry retired to bed still thinking of the subject; he was found late at night by his instructor on his knees pointing from spot to spot as though he were at the blackboard. He was so absorbed that he paid no attention to the light of the candle, nor to the speech addressed to him. The next ...
— Anomalies and Curiosities of Medicine • George M. Gould

... the other of 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 ...
— McGill and its Story, 1821-1921 • Cyrus Macmillan

... 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 ...
— Glimpses of an Unfamiliar Japan • Lafcadio Hearn

... be, in the manner of the driving, he takes great pains to carve the reins, to show you where they are knotted, and how they are fastened round the driver's waist (you recollect how Hippolytus was lost by doing that), but he does not care the least bit about the chariot, and having rather more geometry than he likes in the cross and circle of one wheel of it, entirely omits ...
— The Crown of Wild Olive • John Ruskin

... in the development of Descartes' system of thought preceded the metaphysical. His great achievements in analytical geometry, in optics, in physical research, his explanation of the laws of nature, and their application in his theory of the material universe, belong to the history of science. Algebra and geometry led him towards his method in ...
— A History of French Literature - Short Histories of the Literatures of the World: II. • Edward Dowden

... vested in the hands of the Corporation of London and the Mercers' Company. These public bodies were jointly to nominate seven professors, who should lecture successively, one on every day of the week, on the seven sciences of Divinity, Astronomy, Music, Geometry, Law, Medicine, and Rhetoric. The salaries of the lecturers were defrayed by the profits arising from the Royal Exchange, and were very liberal. The wisdom of my patron is shown by the sciences he directed should be taught. ...
— The Golden Grasshopper - A story of the days of Sir Thomas Gresham • W.H.G. Kingston



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