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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



... the tedious preliminary steps, for Geometry and Latin, rather than the Rhythme des Doigts and the Ecole de la Velocite, have hitherto engaged her attention; but time ...
— The Story of a Summer - Or, Journal Leaves from Chappaqua • Cecilia Cleveland

... arithmetic is taught him, but only a little. In later life, if he does not become a trader or banker, he will not be ashamed to reckon simple sums upon his fingers or by means of pebbles; although if his father is ambitious to have him become a philosopher, he may have him taught something of geometry. ...
— A Day In Old Athens • William Stearns Davis

... excellent orator, came not among them upon trust, either of figurative speeches, or cunning insinuations, and much less with far-fetched maxims of philosophy, which, especially if they were Platonic, they must have learned geometry before they could have conceived; but, forsooth, he behaveth himself like a homely and familiar poet. He telleth them a tale, that there was a time when all the parts of the body made a mutinous conspiracy against the belly, which they thought devoured the fruits ...
— A Defence of Poesie and Poems • Philip Sidney

... readers for his more serious contributions to our literature, has just completed the printing of an original and very remarkable work, upon which he has been engaged about two years, entitled "New Elements of Geometry," and it will soon be published in this city by Putnam, and in London by Bentley. It will probably produce a sensation in the world of science. Its design is the reconstruction of the entire methods of Geometry. All geometers, from the dawn of the science, have built their ...
— The International Weekly Miscellany, Volume I. No. 8 - Of Literature, Art, and Science, August 19, 1850 • Various

... but from an assumption, and the truth therefore of the conclusions is conditional, not categorical. This suffices to justify, in point of logical propriety, Stewart's use of the term. It is of course needful to bear in mind that the hypothetical element in the definitions of geometry is the assumption that what is very nearly true is exactly so. This unreal exactitude might be called a fiction, as properly as an hypothesis; but that appellation, still more than the other, would fail to point out the close relation which exists between the fictitious point or ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... alert, and he had a feeling of what might properly be called mental extension—it was not exaltation—- which seemed to widen his mental vision enormously. Problems which had puzzled him to desperation suddenly became as obvious as the first axioms of geometry. In short, he felt as though he had become a new man, re-born, or re-incarnated, into another world which contained the one he had so far lived in, but which was infinitely vaster in some undefined way which was not yet ...
— The Mummy and Miss Nitocris - A Phantasy of the Fourth Dimension • George Griffith

... century, although the Greeks had some acquaintance with it; and it reached Western Europe from Italy only in the sixteenth century.[232] It was, no doubt, owing to the absence of a sound system of numeration that the mathematical talent of the Greeks was directed chiefly to geometry, in which science Euclid, Archimedes, and others made such brilliant discoveries. It is, however, during the last three centuries only that the civilised world appears to have become conscious of the ...
— Darwinism (1889) • Alfred Russel Wallace

... some part of the nervous system. Applying this fact to study, it is obvious that when you are performing any of the operations of study, memorizing foreign vocabularies, making arithmetical calculations, reasoning out problems in geometry, you are making changes in your nervous system. The question before us, then, is, What is the nature ...
— How to Use Your Mind • Harry D. Kitson

... you want one corner of the court and fasten the 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." You next ...
— Outdoor Sports and Games • Claude H. Miller

... manners and habits of these people; I cannot help, however, giving my readers a proof of the knowledge which the higher classes among them really possess. I have said that they are good astronomers, and I may add that their intuitive knowledge of geometry is remarkable. I once asked a young chief what he considered the height of a lofty pine. It was in the afternoon, about three o'clock. He walked to the end of the shadow thrown by the pine-tree, and fixed his arrow in the ground, measured the length of the arrow, ...
— Monsieur Violet • Frederick Marryat

... a draftsman at Mezieres originated the methods of descriptive geometry, came to the Ecole Polytechnique as professor of mathematics upon its founding in 1794, the second year of the French Republic. According to Jean Nicolas Pierre Hachette (1769-1834), who was junior to Monge in the ...
— Kinematics of Mechanisms from the Time of Watt • Eugene S. Ferguson

... of work 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 ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird

... Wackford Squeers's Academy, Dotheboys Hall at the delightful village of Dotheboys, near Greta Bridge in Yorkshire, Youth are boarded, clothed, booked, furnished with pocket money, provided with all necessaries, instructed in all languages living and dead, mathematics, orthography, geometry, astronomy, trigonometry, the use of the globes, algebra, single-stick, if required, writing, arithmetic, fortification, and every other branch of classical literature. Terms twenty guineas per annum. No extras, no vacations, and diet unparalleled. Mr. Squeers is in town and attends daily, ...
— Standard Selections • Various

... She mastered 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, Flechier, Bourdaloue, and Massillon. She was vexed by the terrorism of their ...
— Brave Men and Women - Their Struggles, Failures, And Triumphs • O.E. Fuller

... theology, and a rendering in images of the text of Albertus Magnus, who, after rehearsing the perfections of the Virgin, declares that She possessed a perfect knowledge of the seven arts: grammar, rhetoric, dialectic, arithmetic, geometry, astronomy, and music—all the lore of ...
— The Cathedral • Joris-Karl Huysmans

... I have 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

... having been married, when very young, to Publius the son of Crassus, who was lately killed in the Parthian expedition. This woman had many charms beside her beauty. She was well versed in polite literature; she played upon the lyre, and understood geometry; and she had made considerable improvements by the precepts of philosophy. What is more, she had nothing of that petulance and affectation which such studies are apt to produce in women of her age. And her father's family and ...
— The Boys' and Girls' Plutarch - Being Parts of The "Lives" of Plutarch • Plutarch

... 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 ...
— Scientific American Supplement, No. 598, June 18, 1887 • Various

... surrounding country. They played nine- pins in the yard and made a vegetable and flower garden on the surface of the building's wall. For other forms of recreation, they were allowed to organize themselves into classes. This particular group received from Kropotkin lessons in cosmography, geometry, physics, languages and bookbinding. Kropotkin's wife was allowed to visit him daily and to walk with him ...
— Jailed for Freedom • Doris Stevens

... You only sent for a barber: but here, in my person, you have the best barber in Bagdad; an experienced physician, a very profound chemist, an infallible astrologer, a finished grammarian, a complete orator, a subtle logician, a mathematician perfectly conversant in geometry, arithmetic, astronomy, and all the divisions of algebra; an historian fully master of the histories of all the kingdoms of the universe; besides, I know all parts of philosophy, and have all the ...
— The Arabian Nights Entertainments Volume 1 • Anonymous

... of our classic writers; to have a general acquaintance with the history of his own country and with the great laws of social existence; to have acquired the rudiments of the physical and psychological sciences, and a fair knowledge of elementary arithmetic and geometry. He should have obtained an acquaintance with logic rather by example than by precept; while the acquirement of the elements of music and drawing should have been a pleasure ...
— Thomas Henry Huxley; A Sketch Of His Life And Work • P. Chalmers Mitchell

... Method and Language. Being a Manual of Geometry. Compiled from the most important French Works, approved by the University of Paris and the Minister of Public Instruction. Fcap. ...
— Fair Italy, the Riviera and Monte Carlo • W. Cope Devereux

... objects of human reason and inquiry may naturally be divided into two kinds, to wit, relations of ideas and matters of fact. Of the first kind are the sciences of geometry, algebra, and arithmetic, and, in short, every affirmation which is either intuitively or demonstratively certain. That the square of the hypothenuse is equal to the square of the two sides, is a proposition which expresses a relation between these two figures. That ...
— Hume - (English Men of Letters Series) • T.H. Huxley

... 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, ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow

... it to hear the wife say, "Husband, you are my teacher and philosopher and guide in the most beautiful and divine subjects." For such teaching in the first place detaches women from absurdities: for the woman who has learnt geometry will be ashamed to dance, nor will she believe in incantations and spells, if she has been charmed by the discourses of Plato and Xenophon; and if anyone should undertake to draw the moon down from the sky, she will laugh at the ignorance ...
— Plutarch's Morals • Plutarch

... invented a method of solution; to solve a problem in philosophy a method is equally necessary. Well, by how much do the problems of which philosophy treats surpass in the gravity of their results those discussed by geometry! How much more imperatively, then, do they demand for their solution a profound and ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon

... but not well studied; one may call it a witty Picture, tho the Painter in the mean time may be in Danger of being called a Fool. On the other hand, a Picture that is thoroughly understood in the Whole, and well performed in the Particulars, that is begun on the Foundation of Geometry, carried on by the Rules of Perspective, Architecture, and Anatomy, and perfected by a good Harmony, a just and natural Colouring, and such Passions and Expressions of the Mind as are almost peculiar to Raphael; ...
— The Spectator, Volume 2. • Addison and Steele

... Giotto's campanile of Grammar, Astronomy, Geometry, Plato, Aristotle, &c., are anterior to 1445; and even about this date there is uncertainty, some authorities fixing it ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds

... to enter as smoothly as possible into the somewhat artificial curricula of academic studies they have arranged. The Latin professor wishes not to go back and start with the rudiments of his subject, as the professor of mathematics with the beginnings of Algebra and Geometry. The result is they demand of the high school what fits ...
— The Soul of Democracy - The Philosophy Of The World War In Relation To Human Liberty • Edward Howard Griggs

... thing which is worthless without its own spontaneous inspiration, which takes all its charm from the suddenness of its desires, which owes its attractions to the genuineness of its outbursts—this thing we call love, subjugated to a monastic rule, to that law of geometry which belongs to the ...
— The Physiology of Marriage, Part II. • Honore de Balzac

... goes over, and 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 ...
— The Life of the Fields • Richard Jefferies

... I've worked a little, dabbled with geometry some, read Gibbon a little, newspapers less, run some in the woods, and fooled away some of my time," answered Bart, with a ...
— Bart Ridgeley - A Story of Northern Ohio • A. G. Riddle

... the Egyptian city of Naucratis, there was a famous old god, whose name was Theuth; the bird which is called the Ibis is sacred to him, and he was the inventor of many arts, such as arithmetic and calculation and geometry and astronomy and draughts and dice, but his great discovery was the use of letters. Now in those days the god Thamus was the king of the whole country of Egypt; and he dwelt in that great city of Upper Egypt which the Hellenes call Egyptian Thebes, and the god himself is called ...
— Phaedrus • Plato

... the most illustrious American of his age. Looking over the expanse of the ages, we think more earnestly and lovingly of Cadmus, who gave us the alphabet; of Archimedes, who invented the lever; of Euclid, with his demonstrations in geometry; of Faust, who taught us how to print; of Watt, with his development of steam, than of the resonant orators who inflamed the passions of mankind, and the gallant chieftains who led mankind to war. We decorate history ...
— Samuel F. B. Morse, His Letters and Journals - In Two Volumes, Volume II • Samuel F. B. Morse

... years the Athens of Greece; the charms of the Chaldaeans; the observations of the Arabs and Indians; the ceremonies of the Jews; the architecture of the Babylonians; the agriculture of Noah the magic arts of Moses; the geometry of Joshua; the enigmas of Samson; the problems of Solomon from the cedar of Lebanon to the hyssop; the antidotes of Aesculapius; the grammar of Cadmus; the poems of Parnassus; the oracles of Apollo; the argonautics of Jason; the stratagems of Palamedes, and infinite other secrets ...
— The Philobiblon of Richard de Bury • Richard de Bury

... hypothetically, and are graduated by the nature of the evidence. Such modest hesitation is altogether unsuited to the theologian, whose certainty increases with the mystery and obscurity of his matter; his convictions admit of no qualification; his truth is sure as the axioms of geometry; he knows what he believes, for he has the evidence in his heart; if he enquire, it is with a foregone conclusion, and serious doubt with him is sin. It is in vain to point out to him the thousand forms of opinions for each of which the same internal witness is affirmed. The Mayo peasant crawling ...
— Short Studies on Great Subjects • James Anthony Froude

... reason, the teacher prefers to have the game played. To some degree, in a study of such definite practical utility, this is no doubt unavoidable; but as soon as possible, the reasons of rules should be set forth by whatever means most readily appeal to the childish mind. In geometry, instead of the tedious apparatus of fallacious proofs for obvious truisms which constitutes the beginning of Euclid, the learner should be allowed at first to assume the truth of everything obvious, and should ...
— Mysticism and Logic and Other Essays • Bertrand Russell

... of the term, for it expresses conjointly with ethics and religion our whole point of view about man and nature. It is hygiene, for it enforces cleanliness; it is economics, for it shows comfort in simplicity rather than in the complex and costly; it is moral geometry, inasmuch as it defines our sense of proportion to the universe. It represents the true spirit of Eastern democracy by making all its ...
— The Book of Tea • Kakuzo Okakura

... little in books that satisfied him. For 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 ...
— The Negro and the Nation - A History of American Slavery and Enfranchisement • George S. Merriam

... worse than hoping Tantalus? Nor ever died any man more fearfully than he that hoped for a pardon. There are rewards for hawks and dogs when they have done us service; but for a soldier that hazards his limbs in a battle, nothing but a kind of geometry is his ...
— The Duchess of Malfi • John Webster

... 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 ...
— Sketches from Concord and Appledore • Frank Preston Stearns

... Charlemagne at his various residences, at one time working for him at questions he invited them to deal with, at another giving to the regular components of his court, to his children, and to himself lessons in the different sciences called liberal: grammar, rhetoric, logic, astronomy, geometry, and even theology, and the great religious problems it was beginning to discuss. Two men, Alcuin and Eginhard, have remained justly celebrated in the literary history of the age. Alcuin was the principal ...
— The Great Events by Famous Historians, Volume 4 • Various

... physical space in which physical objects have spatial relations corresponding to those which the corresponding sense-data have in our private spaces. It is this physical space which is dealt with in geometry and assumed in ...
— The Problems of Philosophy • Bertrand Russell

... voice and manner—drove him mad; his temperament was like a fuse which a touch will explode, but the bomb did not kill, it hurt the uninitiated but it consumed its own sparks. My papa had no self- control, no possibility of learning it: it was an unknown science, like geometry or algebra, to him; and he had very little imagination. It was this combination—want of self-control and want of imagination—which prevented him ...
— Margot Asquith, An Autobiography: Volumes I & II • Margot Asquith

... share in it would but induce a special, it may seem an exaggerated, humility on his part. Thus, speaking of his early studies, his triumphs in them, not without a certain naivete: 'Whatever was written, either in rhetoric or logic, geometry, music, and arithmetic, by myself without much difficulty or any instruction, I understood, Thou knowest, O Lord my God; because both quickness and understanding and acuteness in discerning is Thy gift.' Or, again, speaking of the youthful excellences ('excellently hadst Thou ...
— Figures of Several Centuries • Arthur Symons

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

... to think consecutively and methodically. It is a mistake to believe this a mental infirmity of the race; for a very large number of the students in college at the present time do as well in mathematics, geometry, trigonometry, mensuration, and conic sections as the white students of the same age; and some ...
— History of the Negro Race in America from 1619 to 1880. Vol. 2 (of 2) - Negroes as Slaves, as Soldiers, and as Citizens • George Washington Williams

... to the moral: Although an ardent republican, Thales alone, of the seven sages, appears to have led a private and studious life. He travelled, into Crete, Asia, and at a later period into Egypt. According to Laertius, Egypt taught him geometry. He is supposed to have derived his astrological notions from Phoenicia. But this he might easily have done without visiting the Phoenician states. Returning to Miletus, he obtained his title of Wise [190]. Much learning has ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton

... Nimroud in the British Museum. 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 rule of ...
— The Religion of Babylonia and Assyria • Theophilus G. Pinches

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

... demonstrated in length of days, as it was by the patriarchs, unless its Science be accurately 283:27 stated. We must receive the divine Principle in the under- standing, and live it in daily life; and unless we so do, we can no more demonstrate Science, than we can teach and 283:30 illustrate geometry by calling a curve a straight line or a straight ...
— Science and Health With Key to the Scriptures • Mary Baker Eddy

... the days at old Browne's very long and tedious, and often enough feel a mortal hatred of Euclid as a tyrant who had invented geometry for the sake of driving boys mad. What distaste, too, we had for all the old Romans who had bequeathed their language to us; just as if English wasn't ten times better, ...
— Burr Junior • G. Manville Fenn

... 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 the laws of the pressure of elastic fluids, the force of vapour as dependent upon temperature, ...
— Consolations in Travel - or, the Last Days of a Philosopher • Humphrey Davy

... of Thought as depicted by Human strivings after the Transcendental in Mediaeval Mysticism." I shall give it in a brief form, touching only on those essential points which require a very slight knowledge of Geometry, but those interested in the subject may refer to Ars Quatuor Coronatorum (vol. xxiii., 1910), where I have given the whole subject, in extenso, ...
— Science and the Infinite - or Through a Window in the Blank Wall • Sydney T. Klein

... minutes past six o'clock, the barometer showed an elevation of 26,400 feet, or five miles to a fraction. The prospect seemed unbounded. Indeed, it is very easily calculated by means of spherical geometry, what a great extent of the earth's area I beheld. The convex surface of any segment of a sphere is, to the entire surface of the sphere itself, as the versed sine of the segment to the diameter of the sphere. Now, in my case, the versed sine—that is to say, the thickness ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe

... bodily senses. In this way the parallelogram of forces becomes an inner experience of our organism at the beginning of our earthly life. What we thus carry in the body's will-region in the form of experienced geometry - this, together with the freeing and crystallizing of part of our will-substance into our conceptual capacity, is transformed into our faculty of forming geometrical concepts, and among them the concept of ...
— Man or Matter • Ernst Lehrs

... or, to use another simile, had been spattered upon her by the full stream which the Doctor poured into the vessel of the boy's intellect. So that she had even some knowledge of the rudiments of Latin, and geometry, and algebra; inaccurate enough, but yet with such a briskness that she was sometimes able to assist Ned in studies in which he was far more deeply grounded than herself. All this, however, was more by sympathy than by any natural taste for such things; being kindly, and ...
— Doctor Grimshawe's Secret - A Romance • Nathaniel Hawthorne

... 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 pink in ...
— New Chronicles of Rebecca • Kate Douglas Wiggin

... of 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

... also, grounded them all in Greek, Latin, grammar, music, and drawing; and then Maestro Antonio Angeli da Barga, a scholar and writer of considerable merit, took them through the higher subjects of composition, poetry, rhetoric, and geometry. ...
— The Tragedies of the Medici • Edgcumbe Staley

... 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

... 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 ...
— Letters on England • Voltaire

... Section XV., in reference to Pythagoras, that he went to Egypt to acquire learning, "that he was there taught by the priests the incredible power of ceremonies, the wonderful commutations of numbers, and the most ingenious figures of geometry; but that, not satisfied with these mental accomplishments, he afterwards visited the Chaldaeans and the Brahmins, and amongst the latter the Gymnosophists. The Chaldaeans taught him the stars, the definite orbits of ...
— On the Antiquity of the Chemical Art • James Mactear

... lecture (July 17), on the science of mechanics. The second, on astronomy, by Mr. Gellibrand, senior: Mr. Hackett, on steam engines; Mr. Giblin, senior, on astronomy; and Dr. Turnbull, on chemistry, completed the course. Mr. James Thomson gave lessons in geometry to a youthful class. These efforts languished during the absence of the secretary in Great Britain; but in September, 1829, the former lecturers reappeared: contributions were increased, and a library and apparatus were obtained from ...
— The History of Tasmania, Volume I (of 2) • John West

... you are wrong there," said the lady, with a little silvery laugh. "They are not a profitless amusement. Why, a man has to keep his brains in good trim when he plays cards, and whist is just as good a mental exercise as geometry and algebra, or any other study where the mind is engaged upon various problems. You see I stand up for cards, for I teach whist myself and I assure you that many of the leading ladies of this city spend their time in little else than whist, which they would ...
— The Strange Adventures of Mr. Middleton • Wardon Allan Curtis

... unfathomable watch-work? Even the simplicities of planetary 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 become incoherent: ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... the notion? This, viz., the sublimity of His moral system. But does the reader imagine that this sublimity is of a nature to be seen intellectually—that is, insulated and in vacuo for the intellect? No more than by geometry or by a sorites any man constitutionally imperfect could come to understand the nature of the sexual appetite; or a man born deaf could make representable to himself the living truth of music, a man born blind could make representable the living truth of ...
— The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols) • Thomas De Quincey

... years of famine, seven years during which K. S.'s T. was in course of erection, seven golden candlesticks, but more particularly the seven liberal arts and sciences, which are Grammar, Rhetoric, Logic, Arithmetic, Geometry, ...
— Masonic Monitor of the Degrees of Entered Apprentice, Fellow Craft and Master Mason • George Thornburgh

... to make his observation from Prospect Heights, taking into consideration its height above the level of the sea—a height which he intended to calculate next day by a simple process of elementary geometry. ...
— The Mysterious Island • Jules Verne

... 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 I must ...
— The Lighthouse • Robert Ballantyne

... 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

... defined by a process analogous "to the rule of three." Sieyes holds history in profound contempt, and believes that he had "perfected the science of politics"[3240] at one stroke, through an effort of the brain, in the style of Descartes, who thus discovers analytic geometry. Destutt de Tracy, in undertaking to comment on Montesquieu, finds that the great historian has too servilely confined himself to history, and attempts to do the work over again by organizing society as it should be, instead ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine

... propositions—No. 8 resting upon 7, that upon 5, 5 upon 3—at length reduced you to the elementary axiom, that Two straight lines cannot enclose a space. Now, if space be subjective originally—that is to say, founded (as respects us and our geometry) in ourselves—then it is impossible that two such lines can enclose a space, because the possibility of anything whatever relating to the determinations of space is exactly co-extensive with (and exactly expressed by) our power to conceive it. Being thus able to affirm its impossibility ...
— The Uncollected Writings of Thomas de Quincey—Vol. 1 - With a Preface and Annotations by James Hogg • Thomas de Quincey

... [10] Geometry (it has been said) would not evade disputation, if a man could find his interest in disputing it: such is the spirit of cavil. But I, upon a very opposite ground, assert that there is not one page of prose that could be selected from ...
— Autobiographic Sketches • Thomas de Quincey

... half in height, which is a huge size. Likewise, in the island of Sicily, there have been found leg-bones and arm-bones so large that their size makes it plain that their owners were giants, and as tall as great towers; geometry puts this fact beyond a doubt. But, for all that, I cannot speak with certainty as to the size of Morgante, though I suspect he cannot have been very tall; and I am inclined to be of this opinion because I find in the history in which his deeds are particularly mentioned, that ...
— Don Quixote • Miguel de Cervantes Saavedra

... bitter. The Dominican Father Caccini preached a sermon from the text, "Ye men of Galilee, why stand ye gazing up into heaven?" and this wretched pun upon the great astronomer's name ushered in sharper weapons; for, before Caccini ended, he insisted that "geometry is of the devil," and that "mathematicians should be banished as the authors of all heresies." The ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White

... book, which ought to please, Stirs up the seeds of dire disease; Greek spoils his eyes, the print's so fine, Grown dim with study, and with wine; Of Tully's Latin much afraid, Each page he calls the doctor's aid; While geometry, with lines so crooked, Sprains all his wits to overlook it. His sickness puts on every name, Its cause and uses still the same; 'Tis toothache, colic, gout, or stone, With phases various as the moon, ...
— A Collection of College Words and Customs • Benjamin Homer Hall

... when he is promenaded on horseback and named a bachelor. He might—indeed he should—follow the career of his protege at the Mhersa, where he studies the principles of arithmetic, the rudiments of history, the elements of geometry, and the theology of Sidi-Khalil, until he emerges in a few years a Thaleb, or lettered man. Perhaps the Thaleb may go farther, and become an Adoul or notary, a Fekky or doctor, nay—who knows?—an Alem or sage. Ah! how pleasant that Moorish squire might be by his ...
— Romantic Spain - A Record of Personal Experiences (Vol. II) • John Augustus O'Shea

... arrangement becomes in a certain degree complicated, it baffles the efforts of the geometer, and refuses to submit to even the most approved methods of investigation. This holds good particularly of bridges, where the principles of mechanics, aided by all the resources of the higher geometry, have not yet gone further than to determine the equilibrium of a set of smooth wedges acting on one another by pressure only, and in such circumstances as, except in a philosophical experiment, can hardly ever be realised. It is, therefore, from men educated in the school of daily practice ...
— The Life of Thomas Telford by Smiles • Samuel Smiles

... 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 by signs is adopted, and these ...
— The Critique of Pure Reason • Immanuel Kant

... they afford us, in conjunction with the vast body of earlier religious and philosophic literature, and with a certain amount of scientific literature dealing with astronomy and astrology, with mathematics and specially with geometry, and with grammar and prosody, sufficient materials for appraising, with a fair measure of accuracy, the stage of progress which the Aryan Hindus had reached in the sixth century B.C. When the world was young, and they ...
— India, Old and New • Sir Valentine Chirol

... policy has been carried may perhaps be suggested by the following instance: A well-known physiological psychologist, attempting to show the absurdity of extreme sexual interpretations, remarked to a well-known psycho-analyst that even the geometry of Euclid would, according to the methods under criticism, be open to the imputation of sexual motive. To this the psycho-analyst replied that he did not feel at all sure that Euclid might not have been inspired to write his Geometry by the sexual ideas which men have, from ...
— The Journal of Abnormal Psychology - Volume 10

... engaged in figuring on a bit of paper, and Ned, who looked over his shoulder, saw a complicated compilation that looked to be a combination of geometry, algebra, differential calculus and other ...
— Tom Swift and his Giant Cannon - or, The Longest Shots on Record • Victor Appleton

... 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 plainly, directly, ...
— The Call of the Twentieth Century • David Starr Jordan

... to the Judge's address to the Queen, which had contained the Heep-like sentence—"Conscious as we are of our own unworthiness for the great office to which we have been called." "Wouldn't it be better to say, 'Conscious as we are of one another's unworthiness'?" Henry Smith, Professor of Geometry, the wittiest, most learned, and most genial of Irishmen, said of a well-known man of science—"His only fault is that he sometimes forgets that he is the Editor, not the Author, of Nature." A great lawyer who is now a great judge, ...
— Collections and Recollections • George William Erskine Russell

... is imperfect. Few of the great feats, the Big Things, have admitted names. If I attempted to catalogue Wade's achievements, this chapter might become an unintelligible rhapsody. A sheet of paper and a pen-point cannot supply the place of a sheet of ice and a skate-edge. Geometry must have its diagrams, Anatomy its corpus to carve. Skating also refuses to be spiritualized into a Science; it remains an Art, and cannot be expressed ...
— The Atlantic Monthly, Volume 09, No. 51, January, 1862 • Various

... occurs to you that a thing may be self- consistent and 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 ...
— Works, V2 • Lucian of Samosata

... Helen, 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. ...
— London and the Kingdom - Volume I • Reginald R. Sharpe

... have had to take his greatness, in this regard, on trust. They have known him at first hand chiefly as author or editor of popular works such as his "Popular Astronomy" (1877); of his text-books on astronomy, algebra, geometry, trigonometry, and calculus; of his books on political economy, which science he was accustomed to call his "recreation"; and of magazine articles on all sorts of subjects not omitting "psychical research," which ...
— A Librarian's Open Shelf • Arthur E. Bostwick

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

... sought to distinguish himself and his family by heroic and resounding deeds, and to increase the patrimony of his ancestors by the acquisition of castles, domains, vassals, and other princely possessions. His recreations were all of a warlike nature; he delighted in geometry as applied to fortifications, and spent much time and treasure in erecting and repairing fortresses. He relished music, but of a military kind—the sound of clarions and sackbuts, of drums and trumpets. Like a true cavalier, he was a protector of the sex on all occasions, and an injured ...
— Chronicle of the Conquest of Granada • Washington Irving

... from the Netherlands in 1521, about the middle of July, and the remaining years of his life were spent in the prosecution of the art of the engraver, in painting, and in the effort to elucidate the sciences of perspective, geometry, and fortification, upon all of which ...
— Great Men and Famous Women, Vol. 8 (of 8) • Various

... the sky is splendidly adorned with 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 and unlike ...
— Amerigo Vespucci • Frederick A. Ober

... 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

... many improvements which men of skill have added to this practice within these few years, it would induce one to believe that the advantages of reflection and speculative knowledge were in no profession more eminent than in that of a naval officer; for, not to mention some expertness in geography, geometry, and astronomy, which it would be dishonourable for him to be without, as his journal and his estimate of the daily position of the ship are founded on particular branches of these sciences, it may well be supposed, that the management and working ...
— A General History and Collection of Voyages and Travels, Volume 11 • Robert Kerr

... translated a fair-sized French volume, and had the wear-and-tear of pleading my case for the custody of my daughter in the Court of Appeal, as well as the case before the Master of the Rolls; and I found it the very greatest relief to turn to algebra, geometry, and physics, and forget the harassing legal struggles in wrestling with formulae and problems. The full access I gained to my children marked a step in the long battle of Freethinkers against disabilities, for, as noted in the National Reformer by Mr. Bradlaugh, it was "won with a pleading ...
— Annie Besant - An Autobiography • Annie Besant

... peevishness inseparable from the pupil's physical feebleness and morbid overwrought mental habit, these hours of lessons must have been irksome to both, and of little benefit. "In the meantime my father taught me orally the Latin tongue as well as the rudiments of Arithmetic, Geometry, and Astrology. But he allowed me to sleep well into the day, and he himself would always remain abed till nine o'clock. But one habit of his appeared to me likely to lead to grave consequences, to wit the way he had of lending to others anything which belonged to him. Part of these ...
— Jerome Cardan - A Biographical Study • William George Waters

... evening, and indeed all day, when she was at home, with a tender punctuality which proved the utmost attention. But even while ministering to him, Esther's head was apt to be running on problems of geometry and ages of history and constructions of language. She was so utterly engrossed with her work that she gave little heed to anything else. She did notice that Pitt Dallas still sent them no reminders of his existence; it sometimes occurred to her that the housekeeping in the hands of Mrs. ...
— A Red Wallflower • Susan Warner

... under the name of Sylvester II., is eulogized by Mosheim as the first great restorer of science and literature. He was a person of an extensive and sublime genius, of wonderful attainments in learning, particularly mathematics, geometry, and arithmetic. He broke the profound sleep of the dark ages, and awakened the torpid intellect of the European nations. His efforts in this direction roused the apprehensions and resentment of the monks; and they circulated, after Gerbert's death, and made the ...
— Salem Witchcraft, Volumes I and II • Charles Upham

... Mullens spoke for it dryly, tediously, and at length. Senator Kinney then arose, and the welkin seized the bellrope preparatory to ringing. Oratory was at that time a living thing; the world had not quite come to measure its questions by geometry and the multiplication table. It was the day of the silver tongue, the sweeping gesture, the decorative apostrophe, ...
— Roads of Destiny • O. Henry

... we put those which are harder than we could face. What you will do just then depends on what you have been doing for the training of the child or youth. Do not expect him to solve problems in moral geometry if you have neglected simple ...
— Religious Education in the Family • Henry F. Cope

... sighs for new worlds to conquer beyond that surprising region in which "geometry, algebra, and the theory of numbers melt into one another like sunset tints, or the colours of a dying dolphin," may be of comparatively little service in the cold domain (mostly lighted by the moon, some ...
— Lay Sermons, Addresses and Reviews • Thomas Henry Huxley

... Ministry, 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, ...
— Atlantic Monthly, Volume 12, No. 73, November, 1863 • Various

... come of all this pother but rustic entertainment, although he demonstrated the truth of his calculations by geometry, and applied Greek names to the things which he had done and hoped to do. All this had eaten up his energies, and his fields had gone but half tilled. Perhaps back of all Peter's futile strivings there had lain the germ of some useful thing which, if properly directed, might have grown into the ...
— The Bondboy • George W. (George Washington) Ogden

... 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 ...
— Atlantic Monthly, Vol. II., November, 1858., No. XIII. • Various

... of it. But not withstanding this possible confusion of all sciences into one, common sense draws lines between them sufficiently distinct for the general purposes of life, and no one is at a loss to understand that a recipe in medicine or cookery, or a demonstration in geometry, is not a lesson in religion. I do not deny that a congregation may, if they please, agree with their preacher that he shall instruct them in Medicine also, or Law, or Politics. Then, lectures in these, from the pulpit, become not only a matter of right, ...
— Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson - Volume I • Thomas Jefferson

... hours travelling those eerie shifting corridors of Space with no hint of another human soul. How could there be? It was a world of pure reason, where human personality had no place. What puzzled me was why he should feel the absence of this. One wouldn't you know, in an intricate problem of geometry or a game of chess. I asked him, but he didn't understand the question. I puzzled over it a good deal, for it seemed to me that if Hollond felt lonely, there must be more in this world of his than we imagined. I began to wonder if there was any truth in fads like psychical research. ...
— The Moon Endureth—Tales and Fancies • John Buchan

... as to the squareness of every part. To make lines perpendicular, and perfectly so, is, indeed, no difficult matter when one knows how to do it; but one must know how to do it, before one can do it at all. If the gardener understand this much of geometry, he will do it without any difficulty; but if he only pretend to understand the matter, and begin to walk backward and forward, stretching out lines and cocking his eye, make no bones with him; send for a bricklayer, ...
— The Mirror of Literature, Amusement, and Instruction, No. 335 - Vol. 12, No. 335, October 11, 1828 • Various

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

... see with astonishment upon their countenances the impression made upon the two sisters by the ardent speeches I poured out to Angela. This metaphysical curve struck me as unnatural, it ought to have been an angle; I was then, unhappily for myself, studying geometry. I was in such a state that, notwithstanding the cold, I was perspiring profusely. At last the light was nearly out, and ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt

... said that to one accustomed to speak only on the abstract quantities of number and space, this was an unusual occasion, and this an unusual audience; and inquired how he could discuss the abstract forms of geometry, when he saw before him, in such profusion, the most beautiful real forms that Providence has vouchsafed to the life of man. He proposed to introduce and develop but a single train of thought—the unchangeable connection between what ...
— The Uses of Astronomy - An Oration Delivered at Albany on the 28th of July, 1856 • Edward Everett

... insisted upon nothing but reading and writing, with just a smattering of arithmetic by way of science. In our secondary schools they have insisted upon nothing but Greek and Latin, with about an equal leaven of algebra and geometry. This mediaeval fare (I am delighted that I can thus agree for once with Professor Ray Lankester) they have thrust down the throats of all the world indiscriminately; so much so that nowadays people seem hardly able at last to conceive of any other than a linguistic education as possible. You ...
— Post-Prandial Philosophy • Grant Allen

... all that fools have to say about the difficulty they have had in explaining love, there are certain principles relating to it as infallible as those of geometry; but in each character these are modified according to its tendency; hence the caprices of love, which are due to the infinite number of varying temperaments. If we were permitted never to see the various effects of light ...
— Analytical Studies • Honore de Balzac

... 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 ...
— A New Philosophy: Henri Bergson • Edouard le Roy

... cycle 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 metaphysical speculation. How do all primary truths verify themselves ...
— A History of French Literature - Short Histories of the Literatures of the World: II. • Edward Dowden

... still the elder sister of art; astrology might be found in every street; alchemists still labored in lonely towers all over England; and witches were still burned to the glory of GOD. The 'Mathematicall Magick, or the Wonders that may be performed by Mechanicall Geometry'—now by chance open before me—by Bishop Wilkins, the brother-in-law of Cromwell, with its disquisitions on 'Perpetuall Motion,' 'Volant Automata,' and 'Perpetuall Lamps,' passed for sound sense, and with it passed much occult nonsense of a darker dye. Manners ...
— The Continental Monthly, Vol 3 No 3, March 1863 - Devoted To Literature And National Policy • Various

... 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

... obtained some inkling of mathematics, whereupon he became so much interested in this branch of science, that he begged to be allowed to study geometry. In compliance with his request, his father permitted a tutor to be engaged for this purpose; but he did so with reluctance, fearing that the attention of the young student might thus be withdrawn from that medical work which was regarded as his primary occupation. The event ...
— Great Astronomers • R. S. Ball

... 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 Marian before going ...
— Her Father's Daughter • Gene Stratton-Porter

... with the proof, what you call things in geometry," argued Joyce, "whether it's angles or angels or caterpillars or coal-scuttles,—it's all the same in the end!" Cynthia ignored this, swallowed her rising wrath, and doggedly ...
— The Boarded-Up House • Augusta Huiell Seaman

... knowledge of 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, in a few cases. As seen, for instance, ...
— Curiosities of the Sky • Garrett Serviss

... of Pa., says: "Here is a proposition in geometry which I would like to see demonstrated theoretically by one of your correspondents. The side of a regular heptagon is equal to half the side of an equilateral triangle inscribed in the same circle. ...
— Scientific American, Vol. 17, No. 26 December 28, 1867 • Various

... world. The Seven Sciences were divided into three of the Trivium, and four of the Quadrivium. The three of the Trivium concerned the use of speech; they were Grammar, Rhetoric, and Logic. The four of the Quadrivium concerned number and measure; they were Arithmetic, Geometry, Music; and Astronomy, which led up straight to God. Advance to Music might be represented in the student's mind by his reaching to a sense of the harmonious relation of all his studies, which, so to speak, lived in his mind as a single ...
— Essays on Mankind and Political Arithmetic • Sir William Petty

... a square gambler, so called. People there were who sneered at this description and considered it a contradiction as absurd as a square circle or an elliptical cube. An elementary knowledge of the principles of geometry and of the retail liquor business proved the non-existence of such a thing as a straight crook, so they maintained. But be that as it may, Ben Miller certainly differed from the usual run of sporting-men, and he professed peculiar ideas regarding the conduct ...
— The Winds of Chance • Rex Beach

... do. She would marry him, he would go into Parliament in the Conservative interest, he would clear up the great muddle of labour and industry. He was so superbly fearless, masterful, he knew that every problem could be worked out, in life as in geometry. And he would care neither about himself nor about anything but the pure working out of the problem. He was very ...
— Women in Love • D. H. Lawrence

... to compute by means of progressive rows of pebbles, bits of bone or ivory, or pieces of silver coin, used as counters. The same board, strewn over with sand, was used for teaching the rudiments of writing and the principles of geometry. The Romans subsequently adopted the Abacus, dividing it by means of perpendicular lines or bars, and from the designation of calculus which they gave to each pebble or counter employed on the board, we have derived our English word to ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles

... friendship! Why, I'm in love with you! That's certainly a bigger thing. Go back to your geometry, child. The greater ...
— The Real Adventure • Henry Kitchell Webster

... had to pull the ear, hard and in the same place and several times, for the 1790 ear was tougher than the 1890 one. But the "great Russian weeper" might have spared us. To Emerson, "unity and the over-soul, or the common-heart, are synonymous." Unity is at least nearer to these than to solid geometry, though geometry may be ...
— Essays Before a Sonata • Charles Ives

... her. "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

... have represented evangelists; apostles; the twenty-four old men of the Apocalypse; saints, prophets, kings, queens, and princes, by the score; the signs of the zodiac, and even the seven liberal arts: grammar, rhetoric, dialectics, arithmetic, geometry, astronomy, and music; ...
— Mont-Saint-Michel and Chartres • Henry Adams

... suppose no one will pretend, that to learn grammar, is to be led to entertain inaccurate notions of the subjects, about which it is particularly conversant. On the contrary, the ideas of grammar are exceedingly clear and accurate. It has, in my opinion, all those advantages, by which the study of geometry is usually recommended, without any of its disadvantages. It tends much to purge the understanding, to render it close in its investigations, and sure in its decisions. It introduces more easily and intelligibly than mathematical science, that most difficult ...
— Four Early Pamphlets • William Godwin

... best of women, 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 people ...
— The Thirteen • Honore de Balzac

... this force was, but by observations and calculations made with the greatest care, he ascertained that its action upon matter was proportional to its mass directly, and to the square of its distance inversely; and, with the requisite data and the principles of pure geometry, he demonstrated that this mysterious force—utterly inapproachable by human conception in its mystery—not only governs and controls the movements of all the mighty masses of matter rolling in space, but transmits its influence—not successively, but instantly and without diminution—to the smallest ...
— Life: Its True Genesis • R. W. Wright

... Councils 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 ...
— Indian speeches (1907-1909) • John Morley (AKA Viscount Morley)

... line or curve can be expressed algebraically. Co-ordinates may also be inclined to each other at any other angles, forming oblique co-ordinates; relations may be expressed partly in angles referred to the origin as a centre, giving polar co-ordinates. For solid geometry or calculations in three dimensions, a third axis, or axis of Z, is used, distances parallel to which if unknown are ...
— The Standard Electrical Dictionary - A Popular Dictionary of Words and Terms Used in the Practice - of Electrical Engineering • T. O'Conor Slone

... have not fewer than a couple of thousand sets of answers to questions in Physiology, mainly from young people of the artisan class, who have been taught in the schools which are now scattered all over great Britain and Ireland. Some of my colleagues, who have to deal with subjects such as Geometry, for which the present teaching power is better organised, I understand are likely to have three or four times as many papers. So far as my own subjects are concerned, I can undertake to say that a great deal of the teaching, the ...
— Science & Education • Thomas H. Huxley

... 1819, d. 1904), like the last mentioned subject, was, at the time of his death, Provost of Trinity College, Dublin. Besides theological writings, he contributed much to mathematical science, especially in the directions of conic sections, analytic geometry, higher plane curves, and the geometry of three dimensions. He was a Fellow of the Royal Society, and received the Copley and Royal medals, as well as distinctions from many ...
— The Glories of Ireland • Edited by Joseph Dunn and P.J. Lennox

... FORM, meanwhile, limned in the wonder of an undecipherable or at least untranslatable geometry, silently roaring, enthroned in the undiscoverable colors beyond the spectrum, swept towards them ...
— The Human Chord • Algernon Blackwood

... perish, but the substance shall remain. The circulation of the blood in man and other animals, is a discovery that shall never be antiquated. And the same may be averred of the fundamental elements of geometry and of some other sciences. Knowledge, in its most considerable branches shall endure, as long as books shall exist to hand it ...
— Thoughts on Man - His Nature, Productions and Discoveries, Interspersed with - Some Particulars Respecting the Author • William Godwin

... published on the Trinity, which brought him into collision with the Arians. But the Doctor seems to have been addicted to views of a controversial nature, for his opinions on infant baptism and the keeping of the Sabbath found many objectors. He was Savilian Professor of Geometry ...
— The Prose Works of Jonathan Swift, Vol. III.: Swift's Writings on Religion and the Church, Vol. I. • Jonathan Swift

... continuity with that of Chaucer, Gower, and Lydgate, to which triad he devotes a chapter of panegyric. Hawes, however, presses into the service of his allegory not only all the Virtues and all the Vices, whom from habit we can tolerate in such productions, but also Astronomy, Geometry, Arithmetic, and the rest of the seven Daughters of Doctrine, whom we CANNOT; and is altogether inferior to the least of his models. It is at the same time to his credit that he seems painfully aware of ...
— Chaucer • Adolphus William Ward

... days, when education had barely reached the lower classes, the instruction given in the primary normal school was still of the most summary. Spelling, arithmetic, and geometry practically exhausted its resources. As for natural history, a poor despised science, almost unknown, no one dreamed of it, and no one learned or taught it; the syllabus ignored it, because it led to ...
— Fabre, Poet of Science • Dr. G.V. (C.V.) Legros



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