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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



... mathematics, a science Mr. Hardinge rightly enough thought there was no danger of my acquiring too thoroughly. We mastered arithmetic, of which I had a good deal of previous knowledge, in a few weeks, and then I went through trigonometry, with some of the more useful problems in geometry. This was the point at which I had arrived when ...
— Afloat And Ashore • James Fenimore Cooper

... of the American Missionary Association (Congregational), and is equal to many of our lesser colleges. Mathematics is carried through trigonometry and surveying. Latin and music are taught, also, as well as the ordinary studies of the common and high schools. Above one hundred and fifty pupils, from a dozen different States, were on the roll of the past term. The teachers are of the highest order and their efficiency was emphatically demonstrated ...
— The American Missionary — Volume 48, No. 7, July, 1894 • Various

... Colegio de San Mateo had been suppressed by a government which was the sworn enemy of every form of enlightenment. The new seminary, however, continued the work of the old with little change: While there Jos carried his mathematical studies through higher algebra, conic sections, trigonometry, and surveying, and continued Latin, French, English, and Greek. If we may judge from later results, a course in rhetoric and poetics must have been of ...
— El Estudiante de Salamanca and Other Selections • George Tyler Northup

... the cook-book. Eggs a la reine seemed as difficult as trigonometry, or conic sections, or differential calculus—and much more expensive. Certainly the eight giggling cooks in the kitchen, now at the very height of their exhilaration, worried themselves little ...
— The Wit and Humor of America, Volume I. (of X.) • Various

... 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 a ...
— American Missionary - Volume 50, No. 9, September, 1896 • Various

... of marines was examining the lock of an aged musket. The third and fourth lieutenants were helping each other to untangle one of their Bay-of-Biscay reckonings, which had set both plane and spherical trigonometry at defiance, by a lamp of their own; and the chaplain was hurrying the steward and the boys along with the breakfast—his usual occupation at that "witching time" ...
— The Two Admirals • J. Fenimore Cooper

... 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 he had found it. Once more he unscrewed the horse from the stick, opened ...
— Warlock o' Glenwarlock • George MacDonald

... account in the 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 ...
— The Spinster Book • Myrtle Reed

... Americans; a dry middle-aged man, and a talkative young fellow who informs him he was at 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 German. Well. I cann't read German—not in their German text, I cann't, and ...
— Punch, or the London Charivari, Vol. 102, June 11, 1892 • Various

... 786-l. Square, being the second perfection, does not represent God, 631-l. Square, Compass, Plumb, Level, have peculiar meanings to a Judge, 826-u. Square containing an equilateral triangle a symbol of the Divine and Human, 858-m. Square, definition of; belongs to plane trigonometry, 11-l. Square held in the hand on the male side of the Hermetic figure, 850-m. Square is the symbol of the four elements of the triangle, 629-m. Square, Level, Plumb, Balance used to prepare the rough Ashlar, 787-m. Square of the Form united to ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike

... 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 in the evening ...
— My Antonia • Willa Sibert Cather

... owes a large debt to the Saracens. They preserved and transmitted much that was valuable in the science of the Greeks and the Persians (see p. 472). They improved trigonometry and algebra, and from India they borrowed the decimal system of notation and introduced it into ...
— A General History for Colleges and High Schools • P. V. N. Myers

... A Treatise on Plane Trigonometry. For the use of Colleges and Schools. With numerous Examples. Second edition, revised. ...
— The Works of William Shakespeare [Cambridge Edition] [9 vols.] - Introduction and Publisher's Advertising • William Shakespeare

... he's true to his first love. Culture came to him first, while yet he abode in Philistia, under the playful disguise of a conic section. He scaled his way out of Gath by means of a treatise on elementary trigonometry, and evaded Askelon on the wings of an undulatory theory of light. It is different with us, you know, who have emerged from the land of darkness by the regular classical and literary highway. We feed upon ...
— Philistia • Grant Allen

... for 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 opinion, and ...
— Salt Water - The Sea Life and Adventures of Neil D'Arcy the Midshipman • W. H. G. Kingston

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

... describes it as being "the happiest inspiration of mankind, a thing as specious as a statue at the first glance, yet, on examination, as lively and interesting as a forest in detail. The height of its spires cannot be taken by trigonometry: they measure absurdly short, but how tall they are to the admiring eye.... I sat outside of my hotel and the sweet groaning thunder of the organ floated out of the church like a summons";—and much more of the same sort, all of ...
— The Cathedrals of Northern France • Francis Miltoun

... relations and meanings than with particular objects, images naturally play a smaller part in reasoning than in memory and imagination. Yet they have their place here as well. Students of geometry or trigonometry often have difficulty in understanding a theorem until they succeed in visualizing the surface or solid involved. Thinking in the field of astronomy, mechanics, and many other sciences is assisted at certain points by the ability to form ...
— The Mind and Its Education • George Herbert Betts

... acids, alkalies, new uses for them are borne into his 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 to ...
— Little Masterpieces of Science: - Invention and Discovery • Various

... and as 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 beautifully to the well-played harmonium, then quietly ...
— The Voyage Alone in the Yawl "Rob Roy" • John MacGregor

... love for the beautiful. Inspiring them to love trees generally means more than teaching them to know trees. Mere facts about trees taught in an academic way are often no more lasting than the formulae in trigonometry which most of us have long ago forgotten. The important thing is that permanent results be left and nothing else will produce such lasting impressions as the study of trees out ...
— Studies of Trees • Jacob Joshua Levison

... girl's school (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: ...
— History of Negro Soldiers in the Spanish-American War, and Other Items of Interest • Edward A. Johnson

... do. But the captain quickly informed them that to be able to take observations accurately, and then figure them out, required long and close application. Some mariners never were really good at theoretical navigation. Nor had Harriet, as yet, mastered the principles of trigonometry, which ...
— The Meadow-Brook Girls by the Sea - Or The Loss of The Lonesome Bar • Janet Aldridge

... territory; and no seer of modern times has had his eyes more clearly purged with euphrasy and rue. Poetry is with him, in the language of Mr. E. Paxton Hood ('Eclectic and Congregational Rev.', Dec., 1868), "no jingle of words, or pretty amusement for harpsichord or piano, but rather a divine trigonometry, a process of celestial triangulation, a taking observations of celestial places and spheres, an attempt to estimate our world, its place, its life amidst the boundless immeasurable sweeps of space and time; or if describing, then describing the animating stories of the giants, how they fought ...
— Introduction to Robert Browning • Hiram Corson

... plann'd— Whereof the proof shall be at hand. I see the sun: its dazzling glow Seems but a hand-breadth here below; But should I see it in its home, That azure, star-besprinkled dome, Of all the universe the eye, Its blaze would fill one half the sky. The powers of trigonometry Have set my mind from blunder free. The ignorant believe it flat; I make it round, instead of that. I fasten, fix, on nothing ground it, And send the earth to travel round it. In short, I contradict ...
— The Fables of La Fontaine - A New Edition, With Notes • Jean de La Fontaine

... body, which do not depend upon belief. I kept saying to myself, "There is nothing! I do not believe a word of it! 'Tis naught but old wives' fables!" But, all the same, I took with a great deal of thankfulness the dressing-down I had got from my father for being late for home lessons on a trigonometry night. You see, I was born and reared in Galloway, and I suppose it was just what they have come to call in these latter days "the influence ...
— The Dew of Their Youth • S. R. Crockett

... 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 century. ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER

... but her advice to me was, not to omit anything because I did not like it. I had a natural distaste for mathematics, and my recollections of my struggles with trigonometry and conic sections are not altogether those of a conquering heroine. But my teacher told me that my mind had need of just that exact sort of discipline, and I think ...
— A New England Girlhood • Lucy Larcom

... great as one-quarter of a minute will be made in the position of the meridian as determined in the summer months. If winter observations are made, the distance in January should be used. The formula for computing the angle of elongation is easily made by any one understanding spherical trigonometry, and ...
— Scientific American Supplement, No. 344, August 5, 1882 • Various

... applying for admission to the class in trigonometry, the instructor doubtfully admitted her, as so many of the High School pupils had found the subject very hard and preferred a review of other mathematics. She entered the class, however, on trial, ...
— Twentieth Century Negro Literature - Or, A Cyclopedia of Thought on the Vital Topics Relating - to the American Negro • Various

... 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

... I was not strong; and my father found it necessary to oversee my methods of studying. Incidentally, I think, he influenced the choice of some of our text-books, and I remember that, with the exception of Greek and trigonometry—thought, in those days, to be beyond the scope of the feminine intellect—we pursued the same curriculum that our brothers did at college. In some cases we had teachers who were then, or afterwards, college professors in their specialties; in ...
— McClure's Magazine, Volume VI, No. 3. February 1896 • Various

... accepted," proclaimed Elfreda, screwing her face into a startling resemblance to a fussy instructor in freshman trigonometry and using his ...
— Grace Harlowe's Second Year at Overton College • Jessie Graham Flower

... foe to every liar and thief. He was well informed, for he had, as a boy, been solidly instructed; he was polite, refined, for he had been well educated. His life was a story often told: mercantile parent, very wealthy; son sent to college; talent for art, developed at the expense of trigonometry and morning-prayers; mercantile parent fails, and falls from Fifth avenue to Brooklyn, preparatory to embarking for the land of those who have failed and fallen—wherever that is. Son wears long hair, and believes he looks like ...
— The Continental Monthly, Vol. 2, No 3, September, 1862 - Devoted to Literature and National Policy. • Various

... 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 of wit and repartee about ...
— Arcadian Adventures with the Idle Rich • Stephen Leacock

... do any thing rash, dear. We are not trying in the least to 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 ...
— Grace Harlowe's Senior Year at High School - or The Parting of the Ways • Jessie Graham Flower

... 199. On any convenient scale draw a similar section of strata with a dip of 30 degrees outcropping along a horizontal line normal to the strike one thousand feet in length, and measure the thickness of the strata by the scale employed. The thickness may also be calculated by trigonometry. ...
— The Elements of Geology • William Harmon Norton

... to give me an exercise in trigonometry, it always took the shape of measuring heights. When I was a lad I worked out every tree and ...
— Memoirs of Sherlock Holmes • Sir Arthur Conan Doyle

... acres, a somewhat bewildering course of study is given. The list of subjects begins well. First, a lad is here taught his duties as the head of a family, a citizen, and a man of business. Then come geography, history, arithmetic, book-keeping, trigonometry, linear drawing, mechanics, chemistry, physics, natural history, botany, geology, agrologie, or the study of soils, irrigation, political economy. Whilst farming generally is taught, the speciality of the school is fruit and flower ...
— In the Heart of the Vosges - And Other Sketches by a "Devious Traveller" • Matilda Betham-Edwards

... 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 ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... books aside as she announced to her friends;—"Thank goodness it is all over, I have nothing more to learn. I know Latin and Greek, French and German, Spanish and Italian; I have gone through Algebra, Geometry, Trigonometry, Conic Sections and the Calculus; I can interpret Beethoven and Wagner, and—but why enumerate?—in short, ...
— Marvels of Modern Science • Paul Severing

... it by decimals and by compound interest. He tried it by square root and by cube root. He tried it by addition, simple and otherwise, and he tried it by mixed examples in vulgar fractions. But it was all of no use. Then he tried to do the sum by algebra, by simple and by quadratic equations, by trigonometry, by logarithms, and by conic sections. But it would not do. He got an answer every time, it is true, but it was always a different one, and he could not feel ...
— The Book of Dragons • Edith Nesbit

... oriel[Arch], coign[obs3]. right angle &c. (perpendicular) 216a, 212; obliquity &c. 217; angle of 45x, miter; acute angle, obtuse angle, salient angle, reentering angle, spherical angle. angular measurement, angular elevation, angular distance, angular velocity; trigonometry, goniometry; altimetry[obs3]; clinometer, graphometer[obs3], goniometer; theodolite; sextant, quadrant; dichotomy. triangle, trigon[obs3], wedge; rectangle, square, lozenge, diamond; rhomb, rhombus; quadrangle, quadrilateral; parallelogram; quadrature; polygon, pentagon, hexagon, heptagon, octagon, ...
— Roget's Thesaurus

... "gaping," as he called it, he taught Miriam so much of geometry as 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 ...
— Miriam's Schooling and Other Papers - Gideon; Samuel; Saul; Miriam's Schooling; and Michael Trevanion • Mark Rutherford

... surveying are, compass, measuring tape, draughtsman's scale, protractor, drawing materials and a small home-made transit. The leader should, if possible, become familiar with some good textbook on surveying, such as Wentworth's Plane Trigonometry and Surveying. He should also get some civil engineer to give him a little instruction in the rudiments. It is well also to get some practice before going to camp. Any vacant lot or gymnasium floor will be suitable. ...
— Camping For Boys • H.W. Gibson

... Algebra would follow naturally Mick's Arithmetic, Mick's Euclid, Mick's Trigonometry. Twenty years hence I should have an income of thousands—thousands! I would then cease to teach (resign my professorship—that is to say, for of course I should be professor), and devote myself to a great work on Probability. Many a man has begun the best of his life at sixty—the most ...
— The Odd Women • George Gissing

... instruction of this, his second and last teacher, George got a little insight into English grammar, read some history, became well acquainted with geography, completely mastered arithmetic, and made handsome progress in geometry and trigonometry; which, as you must know, are higher branches of mathematics than arithmetic, and far more difficult to comprehend. In connection with the two latter, he studied surveying; by which is taught, as you must continue to bear ...
— The Farmer Boy, and How He Became Commander-In-Chief • Morrison Heady

... right-angled triangle, if the right angle were uppermost. It so happened that the year before I had to sit for my examinations, a young University student in his first year, who had been only one class in front of the rest of us, offered us afternoon instruction in trigonometry and spherical geometry gratis, and all who appreciated the help that was being offered to them streamed to his lessons. This young student, later Pastor Joergen Lund, had a remarkable gift for mathematics, ...
— Recollections Of My Childhood And Youth • George Brandes

... paths were-some of them, at any rate—roads so wide that several wagons might have been driven abreast on them—as wide as the double-track railroads. So the Indian farther west had his highways prepared for him by the instincts of these primitive engineers that knew nothing of trigonometry or the sextant or the places of the stars. [Footnote: Hulbert, "Historic Highways," ...
— The French in the Heart of America • John Finley

... average in merit, there is what 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 ...
— A History of the French Novel, Vol. 2 - To the Close of the 19th Century • George Saintsbury

... analytic treatment of the elements of Plane and Spherical Trigonometry and their practical applications to Surveying, Geodesy, and Astronomy, with convenient and accurate "five place" tables for the use of the student, engineer, and surveyor. Designed for High Schools, Colleges, and ...
— First Book in Physiology and Hygiene • J.H. Kellogg



Words linked to "Trigonometry" :   triangulation, maths, mathematics, math, trigonometric, trig, spherical trigonometry, pure mathematics, trigonometrician



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