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Trigonometry   Listen
noun
Trigonometry  n.  (pl. trigonometries)  
1.
That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.
2.
A treatise in this science.
Analytical trigonometry, that branch of trigonometry which treats of the relations and properties of the trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those branches of trigonometry in which its principles are applied to plane triangles and spherical triangles respectively.






Collaborative International Dictionary of English 0.48








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"Trigonometry" Quotes from Famous Books



... for places as teachers in our Public Schools will be examined in the following branches of study, or others, the study of which would furnish an equal amount of mental discipline: Arithmetic, Algebra, Geometry, Mensuration, Trigonometry, Mechanical Philosophy, Geography, Physiology, Zoology, Natural Philosophy, Meteorology, Botany, Chemistry, Geology, Astronomy, Orthography, Reading, Penmanship, English Grammar, History, Bookkeeping, Political Science, Moral ...
— The Continental Monthly, Vol 2, No 6, December 1862 - Devoted to Literature and National Policy • Various

... painting. Compare these faculties and note what provision is made here for the sciences and languages. Look at the course of instruction in the college of arts. During the first year the men study higher algebra, conic sections, plane trigonometry, German (Otto's) botany, Gibbon's Rome. In the college of letters the course is similar, but more attention is given to classical studies; to Livy, Xenophon and Horace. During the same years in the female college, they are studying higher arithmetic, ...
— History of Woman Suffrage, Volume III (of III) • Various

... in these days feels that he has the time or the inclination to take a beginner into his office and teach him all of the work from the ground up. On the other hand, a boy who has been grounded well in algebra, geometry and trigonometry may then easily enter the office of a practicing civil engineer and begin with the tools of the profession. Transit manipulation and readings, the use of the plummet line, the level, compass, rod, chain and staking work may all be learned thus and a knowledge of map drawing ...
— The High School Captain of the Team - Dick & Co. Leading the Athletic Vanguard • H. Irving Hancock

... in studies of grammar and advanced grades. The class in trigonometry gave evidence of the practical character of its labors by exhibiting a plat of the college property—some 270 acres in all—drawn to ...
— American Missionary - Volume 50, No. 9, September, 1896 • Various

... are at work with their pupils on different evenings of the week. Monday and Thursday are the Latin days, Monday and Wednesday the Greek,—all taught by graduates of the Universities. The mathematics are Arithmetic, Algebra, Geometry in two classes, and Trigonometry. There was a class in Geology the winter I knew the College,—there had been classes in Botany and Chemistry. There were also classes in French, in German, in English Grammar, in Logic, in Political Economy, ...
— Atlantic Monthly, Volume 8, Issue 45, July, 1861 • Various

... your algebra and your trigonometry?" he one day observed. "I take my John Norie and my Gunter's Scale, and I work out my day's work as well as any man; and what more should I want to know, tell me? Your mathematicians are all humbugs in my ...
— Salt Water - The Sea Life and Adventures of Neil D'Arcy the Midshipman • W. H. G. Kingston

... spyglass. This gave us the parallax of his observation. Breslau, of course, we knew, and so we could place Zitta's, and with these poor data I went to work to construct, if I could, an orbit for this Io-Phoebe mass of brick and mortar. Haliburton, not strong in spherical trigonometry, looked out logarithms for me till breakfast, and, as soon as it would do, went over to Mrs. Bowdoin, to borrow her telescope, ours being left at ...
— The Brick Moon, et. al. • Edward Everett Hale

... the brunt, of course, fell on Lydia. She fretted most about her college work. Sitting by Lizzie's bed, when the old lady dozed in her brief respites from pain, she tried to carry on her lessons alone, but with indifferent success. She was too tired to concentrate her mind. Trigonometry rapidly became a hopeless tangle to her; Ancient History a stupid jumble of unrelated dates. And most of all, as the days went by, she felt the indifference of University folk. Nobody cared that she had dropped out, it seemed ...
— Lydia of the Pines • Honore Willsie Morrow

... moon, as seen from two points very remote from one another on the earth's surface. The ascertainment of these angular distances ascertained their supplements; and since the angle at the earth's centre subtended by the distance between the two places of observation was deducible by spherical trigonometry from the latitude and longitude of those places, the angle at the moon subtended by the same line became the fourth angle of a quadrilateral of which the other three angles were known. The four angles being thus ascertained, and two sides of the quadrilateral being radii ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... fault often, and cautioning him to be more careful in the future. This somewhat perplexed the mate, as he always made his reckoning by rule of thumb, and could no more change his method than work out a problem in trigonometry. The third mate, on the other hand, was quite shy. I noticed what I had failed to note before, and that was the peculiar feminine tone of his voice and manner. He never swung his hands or lounged along the deck like a man used to the sea, and ...
— Mr. Trunnell • T. Jenkins Hains

... containing systematic use of contractions for the words sine, cosine, etc., prefixed to the symbol of the angle. This is so very important a step, simple as it is, that Euler[557] is justly held to have greatly advanced trigonometry by its introduction. Nobody that we know of has noticed that Oughtred was master of the improvement, and willing to have taught it, if people would have learnt. After looking at his dead letter, we naturally turned to his dead book ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... us from persisting at work is evidenced in the longer time we can stick to work that really interests us than to tasks in which we have only a perfunctory or compulsory interest. The college student who is "too dead tired" to stay up studying trigonometry will, though in the same condition, stay up studying football strategy, rehearsing for a varsity show, or getting out the next morning's edition of his college paper. "If each man did the mental work for which he was fit, and which he enjoyed, men would work willingly much longer than they now do."[1*] ...
— Human Traits and their Social Significance • Irwin Edman

... commemorated jointly with Christianity; the dark root together with the golden fruitage; whenever the nature of the case does not presume a contradistinction of the one to the other.] Religion, in the eye of a Pagan, had no more relation to morals, than it had to ship-building or trigonometry. But, then, why was religion honored amongst Pagans? How did it ever arise? What was its object? Object! it had no object; if by this you mean ulterior object. Pagan religion arose in no motive, but in an impulse. Pagan religion aimed ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... commenced in earnest our studies in navigation and seamanship, the naval instructor with his assistants working us up in our mathematics and imparting to us the elements of plane and spherical trigonometry; while the boatswain and his mates gave us practical lessons in the setting up of rigging and making of knots, so that there should be no chance of our mistaking a "sheepshank" for a "cat's paw," or a "Flemish eye" for ...
— Crown and Anchor - Under the Pen'ant • John Conroy Hutcheson

... over mathematics till, in his own phraseology,—still affected in its prose by the classical pedantries caught from Pope by Ramsay,—"the sun entered Virgo, when a charming fillette, who lived next door, overset my trigonometry, and set me off at a tangent from the scene of my studies." We need not detail the story, nor the incessant repetitions of it, which marked and sometimes marred his career. The poet was jilted, went through the usual despairs, and ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... Harvard. Elder man listens to him with a grim and wooden forbearance. "Ez fur languages," the younger man is saying. "I'd undertake to learn any language inside of six months. Fur enstance, I got up Trigonometry in two. You'll tell me that isn't a language, and that's so, but take Latin now, I'd learn Latin—to write and speak—in a year, Italian I'd learn in a fortnight—with constant study, you understand. Then there's ...
— Punch, or the London Charivari, Vol. 102, June 11, 1892 • Various

... and philanthropy. And men write these words in books, and other men write other books trying to explain their meaning. Then, still others divide and subdivide, and science becomes the sciences, and mathematics becomes arithmetic, and algebra, and geometry, and trigonometry, and calculus, and astronomy. Here mathematics and science seem to merge. And, in time, history and geography come together, and sometimes strive ...
— The Vitalized School • Francis B. Pearson

... to his wont, to David's cottage. It was Saturday, and he would stay to supper. After they had given the usual time to their studies, Hugh, setting Margaret some exercises in English to write on her slate, while he helped David with some of the elements of Trigonometry, and again going over those elements with her, while David worked out a calculation—after these were over, and while Janet was putting the supper on the table, Hugh pulled out his volume, and, without any preface, read them the Leech-Gatherer. ...
— David Elginbrod • George MacDonald

... But in trigonometry the Arabians, by the introduction of the use of the sine, or half-chord, of the double arc in the place of the arc itself, made great advancement, especially in the calculations of surveying and astronomy. In the universities and colleges of Spain under Arabian dominion ...
— History of Human Society • Frank W. Blackmar

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

... Geometry and Trigonometry. Church's Descriptive Geometry. French Language...........Bolmar's Levizac's Grammar and Verb Book. Agnel's Tabular System. Berard's Lecons Francaises. *Spier's and Surenne's Dictionary. Tactics of ...
— Henry Ossian Flipper, The Colored Cadet at West Point • Henry Ossian Flipper

... was sufficient to make her understand what he meant when he told her that a fixed star yielded no parallax, and that the earth was consequently the merest speck of dust in the universe. She found his simple trigonometry very, very hard, but to her husband it was easy, and with his help ...
— Miriam's Schooling and Other Papers - Gideon; Samuel; Saul; Miriam's Schooling; and Michael Trevanion • Mark Rutherford

... without lock or ramrod, a belt and cartouch-box, with other matters evincing a decided military taste. Among his books, Plutarch's Lives, and the Histories of Great Commanders, appeared to have been frequently consulted; but the dust had gathered thickly upon the Carpenter's Manual, and a Treatise on Trigonometry and Geometry. Beneath the shelf, containing these books, hung the fine old ballad of 'St. George for England' and a loyal ditty, then much in vogue, called 'True Protestant Gratitude, or, Britain's Thanksgiving for the First of August, Being the Day of His Majesty's ...
— Jack Sheppard - A Romance • William Harrison Ainsworth

... after Commencement I moved my books and desk upstairs, to an empty room where I should be undisturbed, and I fell to studying in earnest. I worked off a year's trigonometry that summer, and began Virgil alone. Morning after morning I used to pace up and down my sunny little room, looking off at the distant river bluffs and the roll of the blond pastures between, scanning the AEneid aloud and committing long passages to memory. Sometimes ...
— My Antonia • Willa Sibert Cather

... opposite. Our common-school system now rejects sewing from the education of girls, which very properly used to occupy many hours daily in school a generation ago. The daughters of laborers and artisans are put through algebra, geometry, trigonometry, and the higher mathematics, to the entire neglect of that learning which belongs distinctively to woman. A girl cannot keep pace with her class if she gives any time to domestic matters, and accordingly she is excused from them all during the whole term of her education. ...
— Household Papers and Stories • Harriet Beecher Stowe

... "In spherical trigonometry," he concluded, "to solve the problem three elements must be known. I know four. Therefore, I can take each of the known, treat it as unknown, and have four ways to check my result. I find that the time might have been either three o'clock, twenty-one minutes and twelve ...
— The Ear in the Wall • Arthur B. Reeve

... negroes from the British Weat Indies, thanks to their good fortune in being ruled over by the world's best colonist, could almost invariably read and write; many of those shoveling in the "cut" have been trained in trigonometry. ...
— Zone Policeman 88 - A Close Range Study of the Panama Canal and its Workers • Harry A. Franck

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

... 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 from one till four, at the ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.

... fine specimens of the gentleman sailor-lad as any Englishman would wish to see. Such neatness and order without nonsense or prim awe. Health and brightness of boyhood, with seamen's smartness and silence: I hope they do not get too much trigonometry. However, for the past week they have been skurrying up aloft "to learn the ropes," skylarking among the rigging for play, and rowing and cricketing to expand muscle and limb; and now on the day of rest they sing ...
— The Voyage Alone in the Yawl "Rob Roy" • John MacGregor

... other Injun, Whitey's pal, was not what you might call eager for knowledge. Reading and writing were all right, and might be put to some practical use, but arithmetic seemed rather useless, and when it came to the "higher branches," geometry and trigonometry, they loomed up to Injun like a bugbear of the future. In his heart Injun pined for his truly loved ...
— Injun and Whitey to the Rescue • William S. Hart

... finally, I was to have for my aide, for my chief of staff as it were, Miss Charlotte Primleigh, a member of our faculty of long standing and a lady in whom firmness of character is agreeably united with indubitable qualities of the mind, particularly in the fields of algebra, geometry and trigonometry. Miss Primleigh ...
— Fibble, D. D. • Irvin Shrewsbury Cobb

... and declination; they knew the obliquity of the ecliptic, and determined the place of the sun's apogee as well as its mean motion. Their calculations on the eccentricity of the moon prove that they had a rectilinear trigonometry and tables of chords. They had an approximate knowledge of parallax; they could calculate eclipses of the moon, and use them for the correction of their lunar tables. They understood spherical trigonometry, and determined the motions of the sun ...
— Beacon Lights of History, Volume III • John Lord

... said Owen, "I am tolerably well acquainted with quadratic equations; I have gone through the first six books of Euclid, and have begun trigonometry, but have not got very far. I am pretty well up in Latin. I have read Caesar and Virgil, and a little of Horace; and in Greek, the New Testament, Xenophon, and two plays of Aeschylus; and my father considered me well acquainted ...
— Owen Hartley; or, Ups and Downs - A Tale of Land and Sea • William H. G. Kingston

... is poor in mathematics can learn something about geometry, algebra, and trigonometry; even he who "has no head for language" can learn to speak a foreign tongue and even to read Latin or Greek. It is not easy for either one of them and perhaps the one can never become a great mathematician nor the other a great linguist, but both can learn something, both can improve their ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... harvest-and hay-fields, accomplishing more without a teacher in a few scraps of time than in years in school before my mind was ready for such work. Then in succession I took up algebra, geometry, and trigonometry and made some little progress in each, and reviewed grammar. I was fond of reading, but father had brought only a few religious books from Scotland. Fortunately, several of our neighbors had brought a dozen or two of all sorts of books, which I borrowed and read, keeping all of ...
— The Story of My Boyhood and Youth • John Muir

... three subjects, trigonometry (represented by Hipparchus, Menelaus, and Ptolemy), mensuration (in Heron of Alexandria), ...
— The Legacy of Greece • Various

... future blew us up to the astonishment of the baronet in praesenti, his famous father. Also, I was a diligent student in the Algebraic class of Dr. Short, afterwards the good Bishop of St. Asaph; and I have before me now a memoria technica of mine in rhyme giving the nine chief rules of trigonometry, but not easily producible here as full of "sines and cosines, arcs, chords, tangents, and radii," though helpful to memory, and humorous at the ...
— My Life as an Author • Martin Farquhar Tupper

... our fellow-travellers in our unending journey round the sun, come at times well within the scope of celestial trigonometry. The orbit of Mars lies at one point not more than thirty-five million miles outside that of the earth, and when the two bodies happen to arrive together in or near the favourable spot—a conjuncture which occurs ...
— A Popular History of Astronomy During the Nineteenth Century - Fourth Edition • Agnes M. (Agnes Mary) Clerke

... Geometry, Cosmography and Trigonometry, with requisite Tables of Longitude and Latitude of Sea-ports, Travers Tables, Tables of Easting and Westing, meridian miles, Declinations, Amplitudes, refractions, use of the Compass, Kalender, measure of the Earth Globe, use of Instruments, ...
— The accomplisht cook - or, The art & mystery of cookery • Robert May

... may be taken to represent the projecting triangles of the five-pointed star. This figure may also be called a kind of regular pentagon (see Todhunter's "Spherical Trigonometry," p. 143). If this interpretation is accepted, the Rasi or sign in question represents the "microcosm." But the "microcosm" or the world of thought is really represented by Vrischika. From an objective point of ...
— Five Years Of Theosophy • Various

... same eagerness to excel. When he could not beat him in wrestling or putting the stone, he was fain to content himself with a display of his superiority in mental calisthenics. The very fact that a charming fillette overset his trigonometry, and set him off at a tangent, is a characteristic ending to this summer of study. Peggy Thomson in her kail-yard was too much for the fiery imagination of a poet: 'it was in vain to think of doing more good ...
— Robert Burns - Famous Scots Series • Gabriel Setoun

... geometry the Arabs added little to Euclid, but algebra is practically their creation. An Arabic treatise on algebra long formed the textbook of the subject in the universities of Christian Europe. Spherical trigonometry and conic sections are Arabic inventions. This mathematical knowledge enabled the Arabs to make considerable progress in astronomy. Observatories at Bagdad and Damascus were erected as early as the ninth ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER

... influences of open air, are relied upon for creating the love of knowledge in the practice of surveying. In this operation so large an aggregate of subsidiary knowledge is demanded,—of arithmetic, for instance—of mensuration—of trigonometry, together with 'the manual facility of constructing maps and plans,' that a sudden revelation is made to the pupils of the uses and indispensableness of many previous studies which hitherto they had imperfectly appreciated; they also 'exercise their discretion ...
— The Uncollected Writings of Thomas de Quincey—Vol. 1 - With a Preface and Annotations by James Hogg • Thomas de Quincey

... experience, fits them somewhere into his four-year course; gives them a numbered time check from his time board; teaches them reading, writing, arithmetic, mechanical drawing, geometry, algebra and trigonometry by means of an ingenious series of blueprints, which constitute their sole text-book; visits them in their shops, giving suggestions and advice about the shop work, and finally sends them out finished craftsmen, ...
— The New Education - A Review of Progressive Educational Movements of the Day (1915) • Scott Nearing

... Our generation demands—and very rightfully, too—that the sphere of knowledge be enlarged, that the sciences of Nature receive sufficient attention. To attempt to undo what has been done, to restore the curriculum to the antiquated cadre of Latin and Greek, trigonometry, mental science and rhetoric, would be a reaction as senseless ...
— Lippincott's Magazine of Popular Literature and Science - February, 1876, Vol. XVII, No. 98. • Various

... new and very interesting, and he felt that it was of greater import than trigonometry, which he never could understand. It was like a window on life that he had a chance of peeping through, and he looked ...
— Of Human Bondage • W. Somerset Maugham

... you with pleasure, as far as I know them myself; but when I'm at fault, my father, who is cleverer than I am, and understands trigonometry, ...
— The Parent's Assistant • Maria Edgeworth

... 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, singlestick (if required), writing, arithmetic, fortification, and every other branch of classical literature. Terms, twenty guineas per annum. No extras, no ...
— Collections and Recollections • George William Erskine Russell

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

... to the Mausoleum Club on just such an evening. Its broad corridors and deep recesses are filled with shepherdesses such as you never saw, dressed in beautiful shimmering gowns, and wearing feathers in their hair that droop off sideways at every angle known to trigonometry. And there are shepherds, too, with broad white waistcoats and little patent leather shoes and heavy faces and congested cheeks. And there is dancing and conversation among the shepherds and shepherdesses, with such brilliant flashes ...
— Arcadian Adventures with the Idle Rich • Stephen Leacock

... valuable paper, which contains most conclusive evidence of the Indian (if not Chinese) origin of our numerals. See also Astronomie Indienne, of M. Bailly; 2d vol. Asiatic Researches, "On the Astronomical Computations of the Hindoos," by Saml. Davis; "Two Dissertations on Indian Astronomy and Trigonometry," by Professor Playfair, in the 2d and 4th vols. of the Edinburgh Philosophical Transactions. And many others might be referred to; but all tending to prove that our numbers came originally from China and India, ...
— Notes and Queries 1850.04.06 • Various

... lot of girls in a sort of hubbub together. With the exception of the Kirklands they were not taking life seriously as yet. They studied and sang, painted, wrote verses, sometimes were caught on trigonometry and occasionally made awful translations in Latin and French. They changed their ideals, they vowed friendship and fell out with each other, they were spiteful and willful and sweet and penitent, and if "a boy's will's the wind's ...
— The Girls at Mount Morris • Amanda Minnie Douglas

... may be used in figuring your return. Personally we employ trigonometry, altho many prefer calculus and a ...
— More Toasts • Marion Dix Mosher

... branches of mathematics. This I also solved; but I found talent was not exactly what they wanted. The little skinny captain seemed rather disappointed that he could not find fault with me. A difficult problem in spherical trigonometry lay before them, carefully drawn out, and the result distinctly marked at the bottom; but this I was not, of course, permitted to see. I soon answered the question; they compared my work with that which had been prepared for ...
— Frank Mildmay • Captain Frederick Marryat

... Restoration. Among his extravagances was a genealogy of his family traced through his f. to Adam, and through his mother to Eve, he himself being the 153rd in descent. He pub. Trissotetras, a work on trigonometry (1645), an invective against the Presbyterians (1652), a scheme for a universal language, Logopandecteision (1653), and a partial translation of Rabelais (1653), a further portion being pub. in 1693. In the last he was assisted by Peter Anthony Motteux, ...
— A Short Biographical Dictionary of English Literature • John W. Cousin

... mind. Yet more—a new orchestration of inquiry is possible by means of the instruments created for him by the electrician, through the advances in method which these instruments effect. With a second and more intimate point of view arrives a new trigonometry of the particle, a trigonometry inconceivable in pre-electric days. Hence a surround is in progress which early in the twentieth century may go full circle, making atom and molecule as obedient to the chemist as brick and stone are ...
— Little Masterpieces of Science: - Invention and Discovery • Various

... to her for instruction—the only pupil she had in that science, in heraldry, which she loved. It is far more pleasant to be describing a shield and settling questions in the queer old language of this queer old science, than in solving and propounding problems in trigonometry and conic sections. And then—how if your pupil begins to talk round the subject and to wander into other things? You cannot very well talk round a branch of mathematics, but heraldry is a subject surrounded by fields, meadows, and lawns, so to speak, all covered with beautiful flowers. ...
— In Luck at Last • Walter Besant

... the enemy on the other, and 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, trigonometry and mathematics generally. ...
— Kelly Miller's History of the World War for Human Rights • Kelly Miller

... college 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 two or ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper

... that was not for sale contains exactly eleven acres. Of course it is not difficult to find the answer if we follow the eccentric and tricky tracks of intricate trigonometry; or I might say that the application of a well-known formula reduces the problem to finding one-quarter of the square root of (4 x 370 x 116) -(370 116 - 74) squared—that is a quarter of the square root of 1936, which is one-quarter ...
— Amusements in Mathematics • Henry Ernest Dudeney

... triangles—trigonometry a subdivision of pure mathematics. Further, the reduction of the doctrine of the sphere to the quantitative form needed for astronomical purposes, required the formation of a spherical trigonometry, which was also achieved by Hipparchus. Thus both plane and spherical trigonometry, which are parts of the highly abstract and simple science of extension, remained undeveloped until the less abstract and more complex science of the celestial motions had need of them. The fact admitted by M. Comte, that since Descartes the progress of the abstract division of mathematics ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer

... interfere in your affairs. You know the primary object of the Phi Sigma Tau is to help one another. We thought that you would be glad to have us coach you in astronomy. You know how thankful Grace was for your help in trigonometry last year." ...
— Grace Harlowe's Senior Year at High School - or The Parting of the Ways • Jessie Graham Flower

... inept; for, not long ago, they condemned as heretical, two books; one of which, entitled "Principes de la Trigonometrie," the censor would not allow to be printed, because the Trinity, which he imagined to be included in trigonometry, was not permitted to be discussed: and the other, on the "Destruction of Insects," he insisted had a covert allusion to the Jesuits, who, he conceived, were thus ...
— Curiosities of Literature, Vol. II (of 3) - Edited, With Memoir And Notes, By His Son, The Earl Of Beaconsfield • Isaac D'Israeli

... may be called, from no mere Grundyite point of view, the drawback that they are all studies of "the triangle." They are quite decently, and in fact morally, though not goodily, handled. But it certainly may be objected that trigonometry[267] of this kind occupies an exorbitant place in French literature, and one may be a little sorry to see a neophyte of talent taking to it. However, though Sandeau in these books showed his ability, his way did not ...
— A History of the French Novel, Vol. 2 - To the Close of the 19th Century • George Saintsbury

... not hitherto of large emolument; and on his education money had been spent freely, for in these days a young man cannot get into the Petty Bag Office without knowing at least three modern languages; and he must be well up in trigonometry too, in Bible theology, or in one dead language—at his option. And the doctor had four daughters. The two elder were married, including that Blanche with whom Lord Lufton was to have fallen in love at the vicar's wedding. A Devonshire squire had done this in the lord's place; ...
— Framley Parsonage • Anthony Trollope

... of the first book of Euclid is unanimously ascribed to him by the ancients. Dr. Wotton, in his Reflections upon Ancient and Modern Learning, says, "It is indeed a very noble proposition, the foundation of trigonometry, of universal and various use in those curious speculations about ...
— Cicero's Tusculan Disputations - Also, Treatises On The Nature Of The Gods, And On The Commonwealth • Marcus Tullius Cicero

... of the rejection of a candidate, James Martineau, for the chair of logic, on account of his religious opinions; wrote treatises on almost every department of mathematics, on arithmetic, algebra, trigonometry, differential and integral calculus, the last pronounced to be "the most complete treatise on the subject ever produced in England"; wrote also "Formal ...
— The Nuttall Encyclopaedia - Being a Concise and Comprehensive Dictionary of General Knowledge • Edited by Rev. James Wood

... that he did not know well what politics meant and that he did not know where the universe ended. He felt small and weak. When would he be like the fellows in poetry and rhetoric? They had big voices and big boots and they studied trigonometry. That was very far away. First came the vacation and then the next term and then vacation again and then again another term and then again the vacation. It was like a train going in and out of tunnels ...
— A Portrait of the Artist as a Young Man • James Joyce

... (La Ascuncion) of elementary and superior branches, directed by French, English and Spanish mothers, which teaches French, English literature, arithmetic, algebra, trigonometry, topography, physics, geology, universal history, geography, designing, music, dress-making and needle-work. The capital has besides a municipal school of primary instruction and the following colleges: Santa Ysabel, ...
— History of Negro Soldiers in the Spanish-American War, and Other Items of Interest • Edward A. Johnson

... line C E perpendicular to the radius O A, this line will divide the radius O A into two parts, O E and E A. Now we have the three interior lines, or the three lines within the circle, which are fundamental in trigonometry. C E is the sine, O E is the cosine, and E A is the versed sine of the angle A O C. Respecting these three lines there are many things to be observed. I will call your ...
— Scientific American Supplement, Vol. XXI., No. 531, March 6, 1886 • Various

... accustomed interval of alarm that always followed examinations. Everyone knew that the contest was close; no one could conjecture as to whom the honor would fall, for, though one student be a wizard in trigonometry, he might have failed dismally in the simple requirement of ...
— Highacres • Jane Abbott

... given the whole of the first year in which to qualify in simple algebra; in the second year he takes up plane geometry; in the third he comes upon solid geometry; in the fourth year of high school work the young man masters plane trigonometry ...
— Dick Prescott's First Year at West Point • H. Irving Hancock

... established it on a firm basis, solving equations of no inconsiderable difficulty, (of the fourth degree, it is said,) and enriched our arithmetic with various rules derived from this source, Single and Double Position among others. Trigonometry became a distinct branch of study with them; and then, as suddenly as they had appeared, they passed away. The Moorish cavalier had no longer a place in the history of the coming days; the sage had done his duty and departed, ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various

... there, which Michelson has been able to measure. He has, at least, succeeded in measuring the angle at the eye that Betelgeuse subtends, so that after estimating its parallax as given by a heliometer, it's merely a matter of trigonometry to work out the size of the star. And he estimated Betelgeuse to be two hundred and sixty million miles in diameter. That means it would take twenty-seven million of our suns to equal it in bulk. So that this big world of ours, which takes so many weeks to crawl about ...
— The Prairie Child • Arthur Stringer

... intelligence of the whole future community in that place. He is opening to fifty or a hundred minds stores of knowledge which they will go on exploring for years to come. What a descent now from such a work as this to the mere hearing of the recitation of two or three boys in Trigonometry! ...
— The Teacher • Jacob Abbott

... of trigonometry was invented by Copernicus, and we see that early in his twenties he was well on the heels of it, for he had then arranged a quadrant to measure the height of standing trees, steeples, buildings or mountains. For rest and ...
— Little Journeys to the Homes of the Great - Volume 12 - Little Journeys to the Homes of Great Scientists • Elbert Hubbard

... in the thing," added the malcontent, softening his tone. "We shall have the ship all to ourselves. We needn't trouble ourselves anything about Latin and Greek, and trigonometry and algebra. We shall go in ...
— Outward Bound - Or, Young America Afloat • Oliver Optic

... I said, "but what I mean is that college, after all, is a pretty hard grind. Things like mathematics and Greek are no joke, are they? In my day, as I remember it, we used to think spherical trigonometry about the hardest stuff of ...
— Frenzied Fiction • Stephen Leacock

... unintelligible to him. It must be a sketch or lineation of something—but of what? or of what kind of thing? It might be of the fields constituting a property; it might be of the stones in a wall; it might be of an irregular mosaic; or perhaps it might be only a school-boy's exercise in trigonometry for land-measuring. It must mean something; but it could hardly mean anything of consequence to anybody! Still it had been the old captain's probably—or perhaps the old lord's: he would replace it also where ...
— Warlock o' Glenwarlock • George MacDonald

... learn how to expand the limbs, and play rounders, and leap over the frog, and fly kites, Than to acquire in a school-room elementary education, consisting of algebra and Assyrian hieroglyphics, spelling, Greek, Italian, and advanced trigonometry. Allons, then! Esperanza! Also cui bono! Go to your Home Secretary, your Postmaster in General, and tell them that no Post Office or School shall be built on this spot, Because I, WALT, hailing hoarsely from Manhattan, have spotted it, And Punch, the lustrous ...
— Punch or the London Charivari, Vol. 93, September 3, 1887 • Various

... or the distance South the ship has sailed, we shall have the difference of latitude, and if we can get the length of the line BC, we shall have the Departure and from it the difference of longitude. This is a simple problem in trigonometry, i.e., knowing the angle and the length of one side of a right triangle, what is the length of the other two sides? But you do not have to use trigonometry. The whole problem is worked out for you in ...
— Lectures in Navigation • Ernest Gallaudet Draper

... from Monte Carlo, where he had been spending a few days in the interests of science, and presented your letter of introduction. Said he still couldn't understand just how it happened, because he had figured it out by logarithms and trigonometry and differential calculus and a lot of other high-priced studies that he'd taken away from Harvard, and that it was a cinch on paper. Was so sure that he could have proved his theory right if he'd only had a little more money that it ...
— Old Gorgon Graham - More Letters from a Self-Made Merchant to His Son • George Horace Lorimer

... one of the common schools of the province, in which little was taught beyond reading, writing, and accounts. He left it before he had completed his sixteenth year; the last two years of his attendance had been devoted to the study of geometry, trigonometry, and surveying. He had learned to use logarithms. It is doubtful whether he ever received any instruction in the grammar of his own language; and although, when the French officers under Rochambeau were ...
— Great Men and Famous Women. Vol. 4 of 8 • Various

... learnt to fill my glass, and to mix without fear in a drunken squabble, yet I went on with a high hand with my geometry, till the sun entered Virgo, a month which is always a carnival in my bosom, when a charming fillette, who lived next door to the school, overset my trigonometry, and set me off at a tangent from the spheres of my studies. I, however, struggled on with my sines and co-sines for a few days more; but stepping into the garden one charming noon to take the sun's altitude, ...
— The Complete Works of Robert Burns: Containing his Poems, Songs, and Correspondence. • Robert Burns and Allan Cunningham

... principal mathematical works were The Elements of Algebra (1835), a valuable but somewhat dry elementary treatise; the Essay on Probabilities (1838), forming the 107th volume of Lardner's Cyclopaedia, which forms a valuable introduction to the subject; and The Elements of Trigonometry and Trigonometrical Analysis, preliminary to the Differential Calculus (1837). Several of his mathematical works were published by the Society for the Diffusion of Useful Knowledge, of which De Morgan was at one time an active member. Among these may be mentioned the Treatise ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various

... criticism of these marriages which are deemed "unequal." If a woman holds an assistant professorship of mathematics in a university, it is a foregone conclusion that she should fall in love with someone who is proficient in trigonometry and holds his tangents and cosines in high esteem. Happy evenings could then be spent with a book of logarithms and sheets of paper specially cut ...
— The Spinster Book • Myrtle Reed

... breakfast-time. What was to be done? It was getting terribly lonesome. I felt like one who had been to a theatre and seen all the performances. Zoega had promised to be back by eight o'clock; but eight o'clock in Iceland, on the 21st of June, is a late hour of the day. A treatise on trigonometry might be written between sunrise and that unapproachable hour. The only thing I could do was to make some more tea and eat a preliminary breakfast. When that was done nothing remained but to go to work in front of my little tent and finish up my rough sketches. This is a very absorbing business, ...
— The Land of Thor • J. Ross Browne

... technical to appeal to the general public among his countrymen, who 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 was one of the numerous by-paths into which he strayed. He held at one time ...
— A Librarian's Open Shelf • Arthur E. Bostwick



Words linked to "Trigonometry" :   trig, pure mathematics, trigonometrician, maths



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