"Geometry" Quotes from Famous Books
 ... new theories as to the bonding of atoms to form molecules, and of the continuity between solution and electrical dissociation. However much these hypotheses may be modified as more light is shed on the geometry and the journeyings of the molecule, they have for the time being recommended themselves as finder-thoughts of golden value. These speculations of the chemist carry him back perforce to the days of his childhood. As he then joined together his black and white bricks he found that ...
— Little Masterpieces of Science: - Invention and Discovery • Various
... the mere 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, to the tune of "This is the house that Jack built." The sic Deo placitum est we all ...
— Biographia Literaria • Samuel Taylor Coleridge
... 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; this ...
— The Spectator, Volumes 1, 2 and 3 - With Translations and Index for the Series • Joseph Addison and Richard Steele
... geometrical problem, he 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 ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... world's university; where Moses and Pythagoras, Herodotus and Plato, all philosophers and lawgivers, went to school. The Egyptians knew the length of the year and the form of the earth; they could calculate eclipses of the sun and moon; were partially acquainted with geometry, music, chemistry, the arts of design, medicine, anatomy, architecture, agriculture, and mining. In architecture, in the qualities of grandeur and massive proportions, they are yet to be surpassed. The largest buildings elsewhere erected by man are smaller than their pyramids; which ...
— Ten Great Religions - An Essay in Comparative Theology • James Freeman Clarke
... For I had my back to the light, and my face to the things enlightened; whence my face, with which I discerned the things enlightened, itself was not enlightened. Whatever was written, either on rhetoric, or logic, geometry, music, and arithmetic, by myself without much difficulty or any instructor, I understood, Thou knowest, O Lord my God; because both quickness of understanding, and acuteness in discerning, is Thy gift: yet did I not thence sacrifice to Thee. ...
— The Confessions of Saint Augustine • Saint Augustine
... seclusion," said the prisoner; "and that which makes me believe so, above all, now, is the care that was taken to render me as accomplished a cavalier as possible. The gentleman attached to my person taught me everything he knew himself—mathematics, a little geometry, astronomy, fencing and riding. Every morning I went through military exercises, and practiced on horseback. Well, one morning during the summer, it being very hot, I went to sleep in the hall. ...
— The Man in the Iron Mask • Alexandre Dumas, Pere
... It is an elaborate and lucid exposition of the principles which lie at the foundation of pure mathematics, with a highly ingenious application of their results to the development of the essential idea of Arithmetic, Geometry, Algebra, Analytic Geometry, and the Differential and Integral Calculus. The work is preceded by a general view of the subject of Logic, mainly drawn from the writings of Archbishop Whately and Mr. Mill, and closes ...
— Harper's New Monthly Magazine, Volume 1, No. 3, August, 1850. • Various
... Lord Roberts in the war then being waged against the Boers. He conducted the opening of the determining battle of Paardeberg, and was typically systematic in covering the half-conquered country with a system of block-houses and enclosures like a diagram of geometry. But to-day, and for many reasons, Englishmen will think first of the last scene of that war. When Botha and the Boer Generals surrendered to Kitchener, there was the same goodwill among the soldiers to contrast with the ill-will of the journalists. Botha also became almost a friend; ...
— Lord Kitchener • G. K. Chesterton
... books. He knew the Bible, Shakespeare, and Burns, Aesop's "Fables," Bunyan's "Pilgrim's Progress," and "Robinson Crusoe." He read a history of the United States and a life of Washington, and he learned by heart the statutes of the State of Indiana. Moreover, he studied without guidance algebra and geometry. It is said that later in life, when his political career was beginning, he continued his studies even more seriously and attempted ...
— The French in the Heart of America • John Finley
... musical instruments, giving a softer and more pleasurable effect, took the place of the seven-stringed lyre, and complicated music replaced the simple Doric airs of the earlier period. Education became much more individual, literary, and theoretical. Geometry and drawing were introduced as new studies. Grammar and rhetoric began to be studied, discussion was introduced, and a certain glibness of speech began to be prized. The citizen-cadet years, from sixteen to twenty, formerly devoted to rather rigorous physical training, were now ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY
... ground plan, or a side view; also a view of the material laid flat, with dotted lines to indicate where creases or folds will occur. Models may be made from stiff paper and will prove as interesting to the kindergartner in geometry as to the old campaigner in camping. In most of the tents a ring for suspension is fastened at the centre of one side. This may be supported by a pole or hung by means {165} of a rope from any convenient fastening; both methods are shown in the sketches. Guy ropes are required ...
— Boy Scouts Handbook - The First Edition, 1911 • Boy Scouts of America
... received the inspiration and training that started him on the road to success in life. His biographer says: "When he was twenty-one years of age a Mr. Robert King came into the district to take charge of the school, and under his care young Monro studied in the winter evenings geometry, algebra and land surveying. Mr. King possessed a surveying compass, and gave him practical instruction in land surveying, leading him to decide ...
— The Chignecto Isthmus And Its First Settlers • Howard Trueman
... "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
... hang this arch in air, or weave this tracery across the clouds? And the catastrophe was instant and irrevocable. Architecture became in France a mere web of waving lines,—in England a mere grating of perpendicular ones. Redundance was substituted for invention, and geometry for passion; tho Gothic art became a mere expression of wanton expenditure, and vulgar mathematics; and was swept away, as it then deserved to be swept away, by the severer pride, and purer learning, of the ...
— The Two Paths • John Ruskin
... as rational, 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 work with perfect accuracy, ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot
... mathematics. For certainly the 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
... strongest and quickest mind it is far easier to learn than to invent. The principles of arithmetick and geometry may be comprehended by a close attention in a few days; yet who can flatter himself that the study of a long life would have enabled him to discover them, when he sees them yet unknown to so many nations, whom he cannot suppose less liberally endowed with natural ...
— The Works of Samuel Johnson, LL.D, In Nine Volumes - Volume the Third: The Rambler, Vol. II • Samuel Johnson
... drawing the first thing to do was to observe what points were vertically under what points, and what points horizontal with what points. He seemed to see the whole secret of draughtsmanship in this priceless counsel, which, indeed, with an elementary knowledge of geometry acquired at school, and the familiarity of his fingers with a pencil, constituted the whole of his technical equipment. All the rest was mere desire. Happily the architectural nature of the subject made it more amenable than, say, a rural landscape ...
— Clayhanger • Arnold Bennett
... open to the bright girl who was so anxious to learn. She finished studies similar to those taught in the eight grades of our schools and began to prepare for college. Miss Sullivan was still with her and, although she had for a tutor a kind, patient man who taught her algebra, geometry, and Greek, it was Miss Sullivan who sat beside her and talked into the girl's hands the tutor's explanations and made it possible for her to enter Radcliffe College ...
— Modern Americans - A Biographical School Reader for the Upper Grades • Chester Sanford
... newspaper, or whatever other light reading may happen to be at hand, with the hope of luring the truants back, you will be disappointed. Nothing but stern and decided measures will answer. I would advise you to resort at once to geometry or conic sections, or some other equally inexorable discipline to settle the business. I have myself often called in the aid of Euclid for a few moments, and always with good success. A little wholesome schooling of the mind upon lines and angles and proportions, ...
— The Atlantic Monthly, Volume 20, No. 121, November, 1867 • Various
... he has just said, madame, for the wanderings of a madman," whispered the doctor; "he handles in this way sometimes the most difficult questions of geometry or astronomy, with an acuteness which would do honor to the most illustrious learned men. His knowledge is great. He speaks all the living languages, but he is, alas! a martyr to his thirst for erudition and pride of learning. He imagines that he ...
— Mysteries of Paris, V3 • Eugene Sue
... which is only a particular system of symbols." With the same light touch, more destructive in its artistic measure than the heaviest-handed brutality of Englishmen or Germans, he went on to upset relative truth itself: "How should I answer the question whether Euclidian Geometry is true? It has no sense! . . . Euclidian Geometry is, and will remain, the ...
— The Education of Henry Adams • Henry Adams
... 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 Church authorities gave ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White
... It was "revealed" truth. But the flash of revelation having once made the path apparent, the light of reason carries us through all the winding ways. Our knowledge of the ether is not guess-work or fancy, any more than our geometry is, because it is based on axioms our reason cannot prove. In both cases the basic axioms are obtained from intuition; the structural work from reason. Our knowledge of the ether may be as absolute and exact as our knowledge ...
— Ancient and Modern Physics • Thomas E. Willson
... I can't understand a geometry in which the crookedest line between any two given points is the best line. Let's ...
— The Galaxy Primes • Edward Elmer Smith
... your royal highness has given me many opportunities of knowing, that the work which I now presume to offer will not partake of the usual security. For as the knowledge which your royal highness has already acquired of GEOMETRY extends beyond the limits of an introduction. I expect not to inform you; I shall be happy if I merit ...
— Notes and Queries 1850.02.23 • Various
... reason like Euclid," said Paresi admiringly. "But don't forget that geometry is an artificial school, based on arbitrary axioms. It just doesn't work where the shortest distance is not a straight line.... I'd suggest we gather ...
— Breaking Point • James E. Gunn
... inflections may reproduce all the figures of geometry. We shall confine ourselves to a description of the primary and ...
— Delsarte System of Oratory • Various
... was over, and he had helped to dry the dishes, Paul nervously asked his father whether he could go to George's to get some help in his geometry, and still more nervously asked for car-fare. This latter request he had to repeat, as his father, on principle, did not like to hear requests for money, whether much or little. He asked Paul whether he could not go to some boy who lived nearer, and told him that he ought ...
— Youth and the Bright Medusa • Willa Cather
... maxim universally admitted in geometry, and indeed in every branch of knowledge, that, in the progress of investigation, we should proceed from known facts to what is unknown. In early infancy, our ideas spring from our wants; the sensation ...
— Elements of Chemistry, - In a New Systematic Order, Containing all the Modern Discoveries • Antoine Lavoisier
... of 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
... bodies, and determine the orbits of the planets, while it is ignorant of the elements of mathematics, and makes its calculations by the help of vertical arithmetical tables, like those used by the shop-keepers in Russia, and who are ignorant both of analysis and geometry?—Timkowski's ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 10, Issue 266, July 28, 1827 • Various
... serious. The light spirit that makes it a joyous festival to many was not in him. Of the myrtle and ivy of sweet two-and-twenty he knew nothing. He distinguished himself in mathematics (especially in geometry, which is the most logical of studies) and in the students' debating-societies. He was also ...
— Sketches from Concord and Appledore • Frank Preston Stearns
... by saying that these two emotions may be generated only by personal relations, and not by relations of persons and things. I was thinking of my emotion of subjection in the presence of an original problem in geometry, but this college person tells me that this negative self-feeling, according to psychology, is experienced only in the presence of another person. Well, I have had that experience, too. In fact, my negative self-feeling is of frequent occurrence. Jacob must have had a rather ...
— Reveries of a Schoolmaster • Francis B. Pearson
... 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
... Miss Cram asked me, as I was going by, to show you the geometry lesson, as you were ...
— The Green Satin Gown • Laura E. Richards
... soul; and Plato considered this as particularly effected by the 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 the fabricator of all things, and contemplating ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor
... of the Stephani[3] is a heavy book. He seems to have been a puzzle-headed man, with a large share of scholarship, but with little geometry or logick in his head, without method, and possessed of little genius. He wrote Latin verses from time to time, and published a set in his old age, which he called 'Senilia;' in which he shews so little learning or taste in writing, as to make Carteret a dactyl[4]. ...
— Life Of Johnson, Volume 4 (of 6) • Boswell
... like Modern astronomy, had its two sides,—the instrumental and the mathematical. On the instrumental side was the invention of graduated instruments for the determination of the positions of the heavenly bodies; on the mathematical, the development of geometry and trigonometry for the interpretation of those positions when thus determined. Amongst the great names of this period are those of Eudoxus of Knidus (B.C. 408-355), and Hipparchus of Bithynia, who lived rather more than two centuries later. Under its first leaders astronomy in the Classical age ...
— The Astronomy of the Bible - An Elementary Commentary on the Astronomical References - of Holy Scripture • E. Walter Maunder
... Roman counselor, Cassiodorus (d. 575), to whose letters we owe a great part of our knowledge of the period, busied himself in his old age in preparing text-books of the liberal arts and sciences,—grammar, arithmetic, logic, geometry, rhetoric, music, and astronomy. His manuals were intended to give the uninstructed priests a sufficient preparation for the study of the Bible and of the doctrines of the Church. His absurdly inadequate and, to us, silly treatment of these seven important ...
— An Introduction to the History of Western Europe • James Harvey Robinson
... list of the different 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 ...
— The Memoirs of Napoleon Bonaparte • Bourrienne, Constant, and Stewarton
... probably even larger—they were forced to wear pressure suits even on that large world, and could jump all over, you said. On so huge a sphere as their native world seems to be, the gravity would be so intense as to distort space. Geometry, such as yours seems to be, and such as ours was, could never be developed, for you assume the existence of a straight line, and of an absolute plane surface. These things cannot exist in space, but on small worlds, far from the central sun's mass, the conditions ...
— Invaders from the Infinite • John Wood Campbell
... the thing to die a natural death for all that. Eyes apart, you know." When people begin to make so very few words serve their purpose it shows that their circumferences have intersected—no mere tangents now. A portion of the area of each is common to both. Forgive geometry this intrusion on the story, ...
— When Ghost Meets Ghost • William Frend De Morgan
... knowledge. History, in fact, should elaborate the concept of a personage such as Charlemagne or Napoleon; of an epoch, like the Renaissance or the Reformation; of an event, such as the French Revolution and the Unification of Italy. This it is held to do in the same way as Geometry elaborates the concepts of spatial form, or Aesthetic those of expression. But all this is untrue. History cannot do otherwise than represent Napoleon and Charlemagne, the Renaissance and the Reformation, the French ...
— Aesthetic as Science of Expression and General Linguistic • Benedetto Croce
... largely) fine professors and readers, that is to say, of divinity, of the civil law, physic, the Hebrew and the Greek tongues. And for the other lectures, as of philosophy, logic, rhetoric, and the quadrivials (although the latter, I mean arithmetic, music, geometry, and astronomy, and with them all skill in the perspectives, are now smally regarded in either of them), the universities themselves do allow competent stipends to such as read the same, whereby they are sufficiently ...
— Chronicle and Romance (The Harvard Classics Series) • Jean Froissart, Thomas Malory, Raphael Holinshed
... may be objected that this is true only of 'conceptual space' (that is, the space of Geometry), but not of 'perceptual space,' i.e. space as it presents itself in a child's perception of an object. The distinction is no doubt from many points of view important, but we must not speak of 'conceptual space' and 'perceptual space' as if they had nothing to do with one another. If the relations ...
— Philosophy and Religion - Six Lectures Delivered at Cambridge • Hastings Rashdall
... at school, I took Cocker's book of arithmetic, and went through the whole by myself with great ease. I also read Seller's and Shermy's books of navigation, and became acquainted with the little geometry they contain; but never proceeded far in that science. And I read about this time Locke On Human Understanding, and the Art of Thinking, ...
— Children's Literature - A Textbook of Sources for Teachers and Teacher-Training Classes • Charles Madison Curry
... man who systematizes Baconian materialism. Knowledge based upon the senses loses its poetic bloom, and Becomes the abstract experience of the mathematician. The physical movement is sacrificed to the mechanical or mathematical; geometry is proclaimed as the chief science. Materialism takes to misanthropy. In order to overcome misanthropic, fleshless spiritualism on the latter's own ground, materialism must mortify its own flesh and turn ascetic. It reappears as an intellectual entity, ...
— Selected Essays • Karl Marx
... had been elected Pope under the title of Leo X. He did not, however, work for the Pope, although he resided in the Vatican, his time being occupied in studying acoustics, anatomy, optics, geology, minerals, engineering, and geometry! ...
— Leonardo da Vinci • Maurice W. Brockwell
... into, of over-writing and over-talking themselves on such Subjects, has done and is doing such harm in the World, that I wonder it has not been hist out of it; but there are some Persons so fond of haranguing, declaiming and setting out their Noise to the Crowd, that if they wrote on Geometry or Algebra, they would flourish and use Tropes and Figures to shew their Parts and their Eloquence, and so in spite of all Advice and Experience, Divinity and Religion must be bother'd out of their Senses by Praters and Scriblers ...
— A Dialogue Between Dean Swift and Tho. Prior, Esq. • Anonymous
... between different kinds of evidence and different degrees of consequent assent. He points out that neither Natural Religion nor Christianity can be proved true by demonstration like a conclusion in geometry, or in any kind of mathematical reasoning; that in default of this inference from self-evident premises to propositions of equal cogency, we must, in a matter of paramount practical importance, be content to judge, ...
— The Life and Times of John Wilkins • Patrick A. Wright-Henderson
... is the highest principle!" Reason! Never do I hear this word without recalling Dr. Saul Ascher, with his abstract legs, his tight-fitting transcendental-grey long coat, his forbidding icy face, which could have served as frontispiece for a textbook of geometry. This man, deep in the fifties, was a personified straight line. In his striving for the positive, the poor man had, by dint of philosophizing, eliminated all the splendid things from life, such as sunshine, religion, and flowers, so that there remained nothing for him but the cold ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VI. • Editor-in-Chief: Kuno Francke
... combined in greater complexity. Thus, too, each science rests on the truths of the sciences that precede it, while it adds to them the truths by which it is itself constituted. Comte's series or hierarchy is arranged as follows:—(1) Mathematics (that is, number, geometry, and mechanics), (2) Astronomy, (3) Physics, (4) Chemistry, (5) Biology, (6) Sociology. Each of the members of this series is one degree more special than the member before it, and depends upon the facts of all the members preceding it, and cannot be fully understood without them. It follows ...
— Critical Miscellanies (Vol. 3 of 3) - Essay 10: Auguste Comte • John Morley
... 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
... must study, and the art of two forms of his language—the written and the spoken: likewise, of course, he must learn native history and native morals. Besides these Oriental studies, his course includes foreign history, geography, arithmetic, astronomy, physics, geometry, natural history, agriculture, chemistry, drawing, and mathematics. Worst of all, he must learn English—a language of which the difficulty to the Japanese cannot be even faintly imagined by anyone unfamiliar with the construction of the native tongue—a language so different from ...
— Glimpses of an Unfamiliar Japan • Lafcadio Hearn
... attendants were Boris Galitsyne and other young nobles with whom he played at soldier. He pressed the palace servants into the ranks and had them drilled in European tactics. Peter took lessons in geometry and fortification; he constructed small forts which were besieged and defended by the young players. Sometimes the game became earnest; blows were given and received, when Peter took his share without a murmur, even when he was ...
— The Story of Russia • R. Van Bergen
... 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 ...
— A Village Stradivarius • Kate Douglas Wiggin
... philosopher. The person who wishes to understand the higher departments of 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 ...
— Consolations in Travel - or, the Last Days of a Philosopher • Humphrey Davy
... Euclid's 'Elements' (1570) is naturally a rare book, as is John Blagrave's 'Mathematical Jewel,' a folio issued in 1585. It is one of the earliest English books upon mathematics. Blagrave[84] was the author of a number of works on Geometry, Navigation, ...
— The Book-Hunter at Home • P. B. M. Allan
... 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 knew little or ...
— The Recitation • George Herbert Betts
... third place, the term 'prior' is used with reference to any order, as in the case of science and of oratory. For in sciences which use demonstration there is that which is prior and that which is posterior in order; in geometry, the elements are prior to the propositions; in reading and writing, the letters of the alphabet are prior to the syllables. Similarly, in the case of speeches, the exordium is prior in order to ...
— The Categories • Aristotle
... 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
... of Wastdale, with its little chapel and half a dozen neat dwellings scattered upon a 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 ...
— The Prose Works of William Wordsworth • William Wordsworth
... 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 ...
— The Golden Grasshopper - A story of the days of Sir Thomas Gresham • W.H.G. Kingston
... those with which we set out, and to bring a person to perceive and acknowledge the full force of that which he has admitted,' he does not, I think, meet the real difficulty requiring to be explained; namely, how it happens that a science like geometry can be all 'wrapt up' in a few definitions and axioms. Nor does this defence of the syllogism differ much from what its assailants urge against it as an accusation, when they charge it with being of no use except to those who seek to press the consequence of an admission ...
— Blackwood's Edinburgh Magazine, No. CCCXXXVI. October, 1843. Vol. LIV. • Various
... to doubt. Thus because our senses sometimes deceive us, I would suppose that there was nothing which was such as they represented it to us. And because there are men who mistake themselves in reasoning, even in the most simple matters of Geometry, and make therein Paralogismes, judging that I was as subject to fail as any other Man, I rejected as false all those reasons, which I had before taken for Demonstrations. And considering, that the same thoughts which we have waking, ...
— A Discourse of a Method for the Well Guiding of Reason - and the Discovery of Truth in the Sciences • Rene Descartes
... to signify the beautiful variety of things and the firmament, his coat of stars,—was but the representative of thee, O rich and various man! thou palace of sight and sound, carrying in thy senses the morning and the night and the unfathomable galaxy; in thy brain, the geometry of the City of God; in thy heart, the bower of love and the realms of right and wrong.... Every star in heaven is discontent and insatiable. Gravitation and chemistry cannot content them. Ever they woo and court the eye of the beholder. Every man who ...
— Emerson and Other Essays • John Jay Chapman
... Dixon had a freshman class, Whose minds were soft like snow. He tried to teach them geometry, But he could not make it go. He scolded them in class one day; He shocked the entire school. The tears ran down one sweet girl's face, When he ...
— Hester's Counterpart - A Story of Boarding School Life • Jean K. Baird
... thus accounted for. Such are the capacity to form ideal conceptions of space and time, of eternity and infinity—the capacity for intense artistic feelings of pleasure, in form, colour, and composition—and for those abstract notions of form and number which render geometry and arithmetic possible. How were all or any of these faculties first developed, when they could have been of no possible use to man in his early stages of barbarism? How could "natural selection," or survival ...
— Contributions to the Theory of Natural Selection - A Series of Essays • Alfred Russel Wallace
... offers a rare example of the verification of algebraic calculation by direct demonstration. In general, we may employ geometry, which gives a graphic representation of calculation and furnishes a valuable control. Sometimes we have practical application, which is a very important verification in some respects, but only approximate ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various
... learned in all the learning of his time. Is this a real anticipation of the use of raised letters for the blind? What would be the use of a knowledge of the alphabet so acquired in obtaining that skill in geometry, rhetoric, arithmetic, and music for which he was famous? He owed to Athanasius his position as head of the Catechetical School ...
— Game and Playe of the Chesse - A Verbatim Reprint Of The First Edition, 1474 • Caxton
... 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 are ...
— The Thirteen • Honore de Balzac
... of Stanford's department of mathematics. In the second place, he was a Quaker, and a man who liked the right sort of boys. And so a candidate who was a little weak in the languages, but was strong in arithmetic and geometry—and was a brave Quaker boy, besides—was not to be ...
— Herbert Hoover - The Man and His Work • Vernon Kellogg
... medium and what is attained thereby belong to different habits: as the first indemonstrable principles belong to the habit of the intellect; whereas the conclusions which we draw from them belong to the habit of science. And so it happens that from the principles of geometry we draw a conclusion in another science—for example, perspective. But the power of the reason is such that both medium and term belong to it. For the act of the reason is, as it were, a movement from one thing to another. But the same movable ...
— Summa Theologica, Part I (Prima Pars) - From the Complete American Edition • Thomas Aquinas
... sort of drudgery with which other Sophists are in the habit of insulting their pupils; who, when they have just escaped from the arts, are taken and driven back into them by these teachers, and made to learn calculation, and astronomy, and geometry, and music (he gave a look at Hippias as he said this); but if he comes to me, he will learn that which he comes to learn. And this is prudence in affairs private as well as public; he will learn to order his own house in the best manner, and he will be able to speak and act for the best ...
— Protagoras • Plato
... specimen of Mr. Leacock's humour, 'Boarding-House Geometry,' has long been treasured on ...
— Winsome Winnie and other New Nonsense Novels • Stephen Leacock
... GEOMETRY is one of the sciences by which an entrance is made into things rational, which are the ...
— The Delights of Wisdom Pertaining to Conjugial Love • Emanuel Swedenborg
... going to live with a military man; nay, to become one, for it was concluded I should begin with being a cadet. I already fancied myself in regimentals, with a fine white feather nodding on my hat, and my heart was inflamed by the noble idea. I had some smattering of geometry and fortification; my uncle was an engineer; I was in a manner a soldier by inheritance. My short sight, indeed, presented some little obstacle, but did not by any means discourage me, as I reckoned to supply that defect by coolness and intrepidity. ...
— The Confessions of J. J. Rousseau, Complete • Jean Jacques Rousseau
... situated in one city—and no city can have more than that number of stores or even so many—we shall then find that the sixty-fourth and last square gives sixteen thousand three hundred and eighty-four cities. Now, you know that there is not in the world a greater number of cities than that, for geometry informs us that the circumference of the globe is eight thousand parasangs; so that, if the end of a cord were laid on any part of the earth, and the cord passed round it till both ends met, we should ...
— A Boswell of Baghdad - With Diversions • E. V. Lucas
... other things, he thought in heaven we should study chemistry, and geometry, and conic sections. Southey thought that in heaven he would have the pleasure of seeing Chaucer and Shakespeare. Now, Doctor Dick may have his mathematics for all eternity, and Southey his Shakespeare. Give me Christ and my old friends—that is all the heaven I want, ...
— New Tabernacle Sermons • Thomas De Witt Talmage
... readin' the Bible carefully. You would not laugh at a schoolboy for reading his books carefully, would you? Yet the learnin' of the way of salvation is of far more consequence to me than book learnin' is to a schoolboy. An astronomer is never laughed at for readin' his books o' geometry an' suchlike day an' night—even to the injury of his health—but what is an astronomer's business to him compared with the concerns of my soul to me? Ministers tell me there are certain things I must know and believe if I ...
— The Lighthouse • R.M. Ballantyne
... they may be miles apart, yet the gunner must be able to get the range. His efforts are directed by observers in aeroplanes or balloons, and the range is established by calculations, so that the gunner must be proficient in geometry, ...
— Kelly Miller's History of the World War for Human Rights • Kelly Miller
... better." "But play is only meant for babies and kittens, Rudolph: it is unworthy of a being who can think. I know you have great talents, and I am the one to develop them. I mean to teach you mineralogy and chemistry, natural philosophy and history, astronomy and geology, botany and geometry. You shall be wise, and shall learn to look beyond the surface of things into their natures and constituent parts. You shall know why every thing was made just as it is, and shall understand the exact proportions of all things to each other, and to the universe, so that the ...
— Holidays at the Grange or A Week's Delight - Games and Stories for Parlor and Fireside • Emily Mayer Higgins
... to reason upon the assumption of a perfectly frictionless fluid as geometers in general are entitled to assume perfect lines without breadth and perfect surfaces without thickness. Perfect lines and surfaces do not exist within the region of our experience; yet the conclusions of geometry are none the less true ideally, though in any particular concrete instance they are only approximately realized. Just so with the conception of a frictionless fluid. So far as experience goes, such a thing has no more real existence than a line without breadth; and hence an atomic theory ...
— The Unseen World and Other Essays • John Fiske
... shinbones, that the final purpose of such boys (one of whom lately had the audacity nearly to ride down the Duke of Wellington) seems to be— not the translation of mutton, which would certainly find its way into human mouths even if riding boys were not,—but the improved geometry of transcendental curves. They ought to be numbered, ought these boys, and to wear badges—X 10, &c. And exactly the same evil, asking therefore by implication for exactly the same remedy, affects the Comets. A respectable planet is known everywhere, and responsible for any mischief that ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
... 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 ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow
... accomplished a work of civilization whose splendour redeemed the brutalities of their acts of reprisal. It was from Egypt and Chaldaea that the knowledge and the arts of antiquity—astronomy, medicine, geometry, physical and natural sciences—spread to the ancestors of the classic races; and though Chaldaea yields up to us unwillingly, with niggard hand, the monuments of her most ancient kings, the temples and tombs of Egypt still exist to prove what signal advances the earliest ...
— History Of Egypt, Chaldaea, Syria, Babylonia, and Assyria, Volume 8 (of 12) • G. Maspero
... told 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 remember ...
— The Lost Valley • J. M. Walsh
... because it has had no employment. Mediaeval conditions kept it in slumber: science refuses to accept it. We are taught to employ our minds, and furnished with materials. The mind has its logic and exercise of geometry, and thus assisted brings a great force to the solution of problems. The soul remains untaught, and ...
— The Story of My Heart • Richard Jefferies
... the enigmatical response. And Mr. Starr muttered something about women and geometry and went away, shaking his head. And Aunt Grace ...
— Prudence Says So • Ethel Hueston
... son of Chisma, said, "sacrifices of doves and observance of times are important constitutions. Astronomy and geometry are ...
— Hebrew Literature
... Professor of Engineering in the University of Edinburgh intends at the close of the scholastic year to hold examinations in the following subjects: (1) For boys in the fourth class of the Academy - Geometry and Algebra; (2) For boys at Mr. Henderson's school - Dictation and Recitation; (3) For boys taught exclusively by their mothers - Arithmetic and Reading.' Prizes were given; but what prize would be so conciliatory as this boyish little joke? It may read thin here; it would smack racily ...
— Memoir of Fleeming Jenkin • Robert Louis Stevenson
... 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 be instructed in the demonstrations ...
— Mysticism and Logic and Other Essays • Bertrand Russell
... mathematics be presented as a series of subjects, e.g., algebra (advanced), solid geometry, trigonometry, analytical geometry, calculus, etc.? Would it be better to present the subject as a single and unified whole in ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper
... his mind matures. A doctrine is a 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 new ...
— The Warriors • Lindsay, Anna Robertson Brown
... 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 intelligence in arts ...
— Scientific American magazine, Vol. 2 Issue 1 • Various
... excellent tract on trades' union written by M. Agricole Perdignier, and published in 1841, Paris. This author, a joiner, founded at his own expense an establishment in the Faubourg St. Antoine, where some forty or fifty of his trade lodged, and were given, after the day's work, a course of geometry, etc., applied to wood carving. We went to one of the lectures, and found as much clearness in the professor as attention and intelligence in the audience. At ten, after reading selections, all the lodgers retire, forced by their scanty wages to sleep, perhaps, four in a room. M. Perdignier informed ...
— The Wandering Jew, Complete • Eugene Sue
... of artillery at Berne, Monsieur Louis Bonaparte; you have necessarily a smattering of algebra and geometry. Here are certain axioms of which you have, probably, ...
— Napoleon the Little • Victor Hugo
... directions, as for example in a ball-room or conversazione—must be of a nature to task the angularity of the most intellectual, and amply justify the rich endowments of the Learned Professors of Geometry, both Static and Kinetic, in the illustrious University of Wentbridge, where the Science and Art of Sight Recognition are regularly taught to large classes of the ELITE ...
— Flatland: A Romance of Many Dimensions (Illustrated) • Edwin A. Abbott
... the University of Glasgow 13th July, 1577, in the minority of James VI, made provision for the appointment of three Regents, or Professors, along with the Principal. The first Regent was required to teach Rhetoric and Greek, the second Logic, Ethics, and the principles of Arithmetic and Geometry, and the third, who was also sub principal, Physiology, Geography, Astrology, and Chronology (See Copy of the Nova Erectio in Evidence for University Commissioners for Scotland vol. 8. p. 241 London, 1837). In the year 1581, the Archbishop of Glasgow gifted to the University the customs of ...
— The Works of the Rev. Hugh Binning • Hugh Binning
... 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 ...
— A New Philosophy: Henri Bergson • Edouard le Roy
... 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 ...
— South Wind • Norman Douglas
... Bishop with comprehension. "Dick Fielding. Then Dick is my friend, too. And people that are friends to the same people should be friends to each other—that's geometry, Eleanor, though ...
— The Militants - Stories of Some Parsons, Soldiers, and Other Fighters in the World • Mary Raymond Shipman Andrews
... 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
... of those irresistible afternoons—radiant with the sun-washed geometry of three architectural renaissances, a monastic-fronted fur emporium, a Parthenon of a library, a Doric-columned bank—that Lilly and Zoe lumbered their omnibus way through the daily carnival of the most ...
— Star-Dust • Fannie Hurst
... kind: he 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 ...
— Chronicle of the Conquest of Granada • Washington Irving
... American history, for instance, it is inevitable that our knowledge becomes congested in certain important epochs, or around the character and life of a few typical persons. The same seems to be true also of other studies, as geography and even geometry. The failure to acquire proper habits of thinking is also exposed by the experience of practical life. In life we are compelled to see and respect the causal relations between events. We must calculate the ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... get, for Major Billy had a host of friends in his native State, and an old chum at the Point assured him he could coach young Sandy through the preliminary, and indeed he did. Sandy scraped in after six months' vigorous work, managed to hold his own through the first year's tussle with algebra and geometry, which he had studied hard and faithfully before, was a pet in his class, and the pride and joy of his mother's and sister's heart in yearling camp, where he blossomed out in corporal's chevrons and made as natty and active a first sergeant as could ...
— Ray's Daughter - A Story of Manila • Charles King
... children. He was one of the gravest specimens of literary genius—a man who can scarcely be said to have ever been a child himself; for as the story goes, he was found one day, when only twelve years old, inventing geometry, and his father only saved him from trouble, by putting the great book of Euclid into his hands; and, at sixteen, he wrote a treatise on Conic Sections, which was the wonder of all the learned men of the day. I have not a very clear idea of what Conic Sections are myself; but I tell you this ...
— The History of a Mouthful of Bread - And its effect on the organization of men and animals • Jean Mace
... Academy would have furnished abundant occupation to any ordinary teacher; and although usually relieved of elementary drudgery by his assistant, the main burden of instruction fell on Doddridge himself. He taught algebra, geometry, natural philosophy, geography, logic, and metaphysics. He prelected on the Greek and Latin classics, and at morning worship the Bible was read in Hebrew. Such of his pupils as desired it were initiated in French; and besides an extensive course ...
— The International Monthly, Volume 3, No. 1, April, 1851 • Various
... stands to man's power over Nature, that is, to his power of being useful to himself and to mankind, in the same relation as do geography, grammar, arithmetic, geometry, political economy; none of them, perhaps, bearing directly on his future business in life; but all training his mind for his business, all giving him the rudiments of laws which he will hereafter work out and apply to his profession. And even at home, be sure that such studies will ...
— Scientific Essays and Lectures • Charles Kingsley
... functions are 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 ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton
... 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 fait des points en leur supposant une couleur differente de celle du fond. Restituez ...
— Essays Towards a Theory of Knowledge • Alexander Philip
... It is a place also for profound mathematical meditation. It was in the left hand try-pot of the Pequod, with the soapstone diligently circling round me, that I was first indirectly struck by the remarkable fact, that in geometry all bodies gliding along the cycloid, my soapstone for example, will descend from any point in precisely the ...
— Moby Dick; or The Whale • Herman Melville
... numbers and of navigation, and the art of 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, as ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... pure act of the sensuous imagination—that is, in the production of the forms of space and time abstracted from all corporeity, and likewise of the inherent forms of the understanding itself abstractedly from the consideration of particulars, as in the case of geometry, numeral mathematics, universal logic, and pure metaphysics. The discursive faculty then becomes what our Shakespeare, with happy precision, calls ...
— Confessions of an Inquiring Spirit etc. • by Samuel Taylor Coleridge
... 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 ...
— Reincarnation and the Law of Karma - A Study of the Old-New World-Doctrine of Rebirth, and Spiritual Cause and Effect • William Walker Atkinson
... narrative? Is it content to describe, or does it aspire to explain? In common fairness these questions must be asked and answered, before we heave our critical half-bricks at strange poets. One task is of necessity more difficult than another. Students of geometry, who have pushed their researches into that fascinating science so far as the fifth proposition of the first book, commonly called the Pons Asinorum (though now that so many ladies read Euclid, it ought, in common ...
— Obiter Dicta • Augustine Birrell
... order to turn his son's whole force on the 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. ...
— Classic French Course in English • William Cleaver Wilkinson
... geometry has been ascribed to the Egyptians, who were annually obliged to ascertain the extent to which their lands had been affected by the inundations of the Nile, and to renew the obliterated boundaries. A similar necessity led to like proficiency amongst the people ...
— Ceylon; an Account of the Island Physical, Historical, and • James Emerson Tennent
... Vineyards? Can the drunken old Poets make up my Vines? (I know they can drink 'em) or your excellent Humanists sell 'em the Merchants for my best advantage? Can History cut my Hay, or get my Corn in? And can Geometry vend it in the Market? Shall I have my sheep kept with a Jacobs-staff now? I wonder you will magnifie this madman, you that are old, and ...
— The Works of Francis Beaumont and John Fletcher - Vol. 2 of 10: Introduction to The Elder Brother • Francis Beaumont and John Fletcher
... was always 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 whole ...
— Syd Belton - The Boy who would not go to Sea • George Manville Fenn
... Wackford Squeers' Academy, Dotheboys Hall, at the delightful village of Dotheboys, in Yorkshire, youths are boarded, clothed, booked, furnished with pocket-money, instructed in all languages living or dead, mathematics, orthography, geometry, trigonometry, the use of the globes, algebra, single-stick (if required), writing, arithmetic, fortification, and every other branch of classic literature. Terms, twenty guineas per annum. No extras, no vacations, and diet unparalleled. Mr. Squeers is in town, and attends daily ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.
... the minds of living men. For the same reason they say that the Pythagoreans never reduced their maxims to writing, but implanted them in the memories of worthy men; and when some of their difficult processes in geometry were divulged to some unworthy men, they said that Heaven would mark its sense of the wickedness which had been committed by some great public calamity; so that, as Numa's system so greatly resembled that of Pythagoras, we can easily pardon those who endeavour to establish ...
— Plutarch's Lives, Volume I (of 4) • Plutarch
... was to bear fruit in no measured amount. And Boethius is the name associated with the scheme of higher education that preceded the University teaching, called the quadrivium, or quadruple group of subjects, namely, Arithmetic, Geometry, Music and Astronomy. This, together with the trivium, or preparatory group of three subjects—Grammar, Rhetoric, and Logic—constituted what was known as the seven liberal arts; but, in the darkest ages, the quadrivium was ...
— Practical Essays • Alexander Bain
... bequeathed to the City of London and the Mercers' Company, all the profits arising from these and other premises in Cornhill, in trust to pay salaries to four lecturers in divinity, astronomy, music, and geometry; and three readers in civil law, physic, and rhetoric, who read lectures ...
— Real Life In London, Volumes I. and II. • Pierce Egan
... memory and look at them in an almost material way, although the same knowledges serve the truly intelligent in forming their understanding. By sciences the various kinds of experimental knowledge are meant, such as physics, astronomy, chemistry, mechanics, geometry, anatomy, psychology, philosophy, the history of kingdoms and of the literary world, criticism, and languages. [2] The clergy who deny the Divine do not raise their thoughts above the sensual things of the external man; and regard the things of the Word in the same ...
— Heaven and its Wonders and Hell • Emanuel Swedenborg
... poor Wentworth. And sailed away, with their sad Siege finished in such fashion. Strenuous Siege; which, had the War-Sciences been foolishness, and the Laws of Nature and the rigors of Arithmetic and Geometry been stretchable entities, might have succeeded better!" [Smollett's Account, Miscellaneous Works (Edinburgh, 1806), iv. 445-469, is that of a highly intelligent Eye-witness, credible and intelligible in ...
— History of Friedrich II. of Prussia, Vol. XII. (of XXI.) • Thomas Carlyle
... Form subjects proved their extreme toughness. She was not nearly up to the standard of the rest of the girls. Her Latin grammar was shaky, her French only a trifle better, she had merely a nodding acquaintance with geometry, and had not before studied chemistry. Her teacher seemed to expect her to understand many things of which she had hitherto never heard, and was apparently astounded at her ignorance. Winona puzzled over her text-books ...
— The Luckiest Girl in the School • Angela Brazil
... 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 to fact, their adaptation to the plain ...
— The Negro and the Nation - A History of American Slavery and Enfranchisement • George S. Merriam
... the round table, where Stephen had been doing his geometry last night, twirling a pair of pencil compasses about on a sheet of paper, while this was saying. She lifted up her eyes a little, cornerwise, without moving her head, and gave a twinkle of mischief over at mother and Ruth. ...
— We Girls: A Home Story • Mrs. A. D. T. Whitney
... sense-data which we see when we look at the houses. Thus we may assume that there is a 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 ...
— The Problems of Philosophy • Bertrand Russell
... Romance; it is the most wonderful example of what I will call "the Evolution 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
... faculties of moral intuition, active emotions responding to right and wrong conduct, which have no apparent basis in the individual experiences of utility. I also hold that, just as the space intuition responds to the exact demonstrations of geometry, and has its rough conclusions interpreted and verified by them, so will moral intuitions respond to the demonstrations of moral science, and will have their rough conclusions interpreted and ...
— On the Genesis of Species • St. George Mivart
... 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 the planets, and the various effects ...
— On the Antiquity of the Chemical Art • James Mactear
... were found to 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 prepared by Peshtimaljian. A high school for ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume I. • Rufus Anderson
... compare the art of mensuration which is used in building with philosophical geometry, or the art of computation which is used in trading with exact calculation, shall we say of either of the pairs that it is one ...
— Philebus • Plato
... desire to manipulate a language in teaching it, he cannot change the words in it, or the inflections of the declensions and conjugations. And the same restriction is laid upon our inclinations in the different divisions of Natural History, in the theorems of Arithmetic, Geometry, &c. The theorem of Pascal remains still the theorem of Pascal, and ...
— Pedagogics as a System • Karl Rosenkranz
... 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 ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
... 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 regarded as individual Sciences, and in ...
— Continental Monthly, Vol. 5, Issue 2, February, 1864 • Various
... are nine), and possibly the shortest proof of the practical (Seidel) formulae. A. Gullstrand (vide supra, and Ann. d. Phys., 1905, 18, p. 941) founded his theory of aberrations on the differential geometry of ...
— Project Gutenberg Encyclopedia
... 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 he ...
— Great Men and Famous Women, Vol. 8 (of 8) • Various
... 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
... rational wisdom also 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 Delights of Wisdom Pertaining to Conjugial Love • Emanuel Swedenborg
... horrified at any man who does not believe there is a God, are yet absolutely indifferent to what their Lord tells them to do if they would be His disciples? But may not I be in like case without knowing it? Do I meet God in my geometry? When I so much enjoy my Euclid, is it always God geometrizing to me? Do I feel talking with God every time I dwell upon any fact of his world of lines and circles and angles? Is it God with me, every time that the joy of ...
— The Elect Lady • George MacDonald |
