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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



... and body, 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 all departments I think ...
— McClure's Magazine, Volume VI, No. 3. February 1896 • Various

... 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

... according 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. All listened very intently, ...
— David Elginbrod • George MacDonald

... invention of the planosphere, an instrument for the representation of the mechanism of the heavens. His computations of the properties of the spheres led him also to what was virtually a discovery of the method of trigonometry, giving him, therefore, a high position in the field of mathematics. All in all, then, Hipparchus is a most heroic figure. He may well be considered the greatest star-gazer of antiquity, though he cannot, without injustice to his great precursors, be ...
— A History of Science, Volume 1(of 5) • Henry Smith Williams

... glee, she cast her 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, 'I ...
— Marvels of Modern Science • Paul Severing

... 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 branch of ...
— The Meadow-Brook Girls by the Sea - Or The Loss of The Lonesome Bar • Janet Aldridge

... would be the same difference between the rules by which it might be effected, and Political Economy, which there is between the art of gunnery and the theory of projectiles, or between the rules of mathematical land-surveying and the science of trigonometry. ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill

... 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" ...
— Crown and Anchor - Under the Pen'ant • John Conroy Hutcheson

... (1585-7.)] What next? Why, "having thus passed the principles of Arithmetic, Geometry, Astronomy, and Geography, with a general compact of Physics, they may descend, in Mathematics, to the instrumental science of Trigonometry, and from thence to Fortification, Architecture, Enginry, or Navigation; and, in Natural Philosophy, they may proceed leisurely from the History of Meteors, Minerals, Plants, and Living Creatures, as far as Anatomy. Then also ...
— The Life of John Milton Vol. 3 1643-1649 • David Masson

... 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 ...
— Household Papers and Stories • Harriet Beecher Stowe

... in western Europe the awkward Roman numerals. In 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. Some of the astronomical ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER

... 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

... attention to 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 my ...
— Afloat And Ashore • James Fenimore Cooper

... pleasurable 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 in choosing ...
— The Uncollected Writings of Thomas de Quincey—Vol. 1 - With a Preface and Annotations by James Hogg • Thomas de Quincey

... 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 sure which answer ...
— The Book of Dragons • Edith Nesbit

... 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, ...
— The accomplisht cook - or, The art & mystery of cookery • Robert May

... sometimes disguised by affected languor, always well kept under by the laws of good-breeding,—but still it loves abundant life, opulent and showy organizations,—the spherical rather than the plane trigonometry of female architecture,—plenty of red blood, flashing eyes, tropical voices, and forms that bear the splendors of dress without growing pale beneath their lustre. Among these you will find the most delicious women you will ever meet,—women whom dress and flattery and the round of city gayeties ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

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

... little trigonometry and how to cross top-gallant yards. He was generally liked. He had the third place in navigation and pulled stroke in the first cutter. Having a steady head with an excellent physique, he was very smart aloft. His station was ...
— Lord Jim • Joseph Conrad

... 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

... 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

... "In spherical trigonometry," he concluded, "to solve the problem three elements must be known. I knew four. Therefore I could take each of the known, treat it as unknown, and have four ways to check my result. I find that the time ...
— The Poisoned Pen • Arthur B. Reeve

... "I'm aghast at what an exacting government expects and demands that we shall know. Just look over the list—mechanical drawing and mechanical processes, analytical geometry, calculus, physics, chemistry, English literature, French and Spanish, integral calculus, spherical trigonometry, stereographic projection and United States Naval history! David, my boy, by the end of this year we'll know more ...
— Dave Darrin's Second Year at Annapolis - Or, Two Midshipmen as Naval Academy "Youngsters" • H. Irving Hancock

... 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 Science, Mental Philosophy, Logic, ...
— The Continental Monthly, Vol 2, No 6, December 1862 - Devoted to Literature and National Policy • Various

... even for those who are in need of algebra the subject is not at present organized in desirable ways. It is thought that, on the one hand, it should be knit up in far larger measure with practical matters, and on the other, it should be developed in connection with geometry and trigonometry. The technical high schools of Cleveland have adopted this form of organization. Their mathematics is probably greatly in advance of ...
— What the Schools Teach and Might Teach • John Franklin Bobbitt

... 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 at no distant prize ahead: it fled from a danger immediately ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... above them, Sylvia bent over a problem in trigonometry, and rapidly planned a new evening-dress. After a time she got up and opened her box of treasures from Aunt Victoria. The yellow chiffon would do—Jerry had said he liked yellow—she could imagine how Mrs. ...
— The Bent Twig • Dorothy Canfield

... matter of angles when it was desirable to come down to a close calculation, and the young commander found his trigonometry very useful, and fortunately not forgotten. With an apparatus for taking ranges he had procured the bearing of the highflyer accurately as soon as the last course was given out, perhaps half an hour before. He took the range again, and found there was a slight difference, which was, however, ...
— A Victorious Union - SERIES: The Blue and the Gray—Afloat • Oliver Optic

... genius as an engineer; which appeared even in the planning and construction of the paper in his hand! The professional ability of the Master-general shone as conspicuously there, as it could upon our coasts. He had made it an argument of posts; and conducted his reasoning upon principles of trigonometry, as well as logic. There were certain detached data, like advanced works, to keep the enemy at a distance from the main object in debate. Strong provisions covered the flanks of his assertions. His very queries were in casements. No impression, therefore, was to be made on ...
— Memoirs of the Life of the Rt. Hon. Richard Brinsley Sheridan V1 • Thomas Moore

... 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 ...
— My Antonia • Willa Cather

... purely astronomical labours, he had to invent that branch of mathematical science by which alone the problems he proposed could be solved. It was for this purpose that he devised the indispensable method of calculation which we now know so well as trigonometry. Without the aid rendered by this beautiful art it would have been impossible for any really important advance in astronomical ...
— Great Astronomers • R. S. Ball

... 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. ...
— History of Human Society • Frank W. Blackmar

... 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 ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... sensibility. She was, however, in Eastthorpe before the new education, as it is called, had been invented. There was no elaborate system of needle points, Roman and Greek history, plain and spherical trigonometry, political economy, ethics, literature, chemistry, conic sections, music, English history, and mental philosophy, to draw off the electricity within her, nor did she possess the invaluable privilege of being able, after studying a half-crown handbook, to unbosom herself to ...
— Catharine Furze • Mark Rutherford

... "Ichthyosaurus" James, a very fine old ruin, whom Hogboom hated with a frenzy worthy of a better cause, but who, it seemed, had worked up a great regard for Hogboom through having him for three years in the same trigonometry class. ...
— At Good Old Siwash • George Fitch

... angle is subtended by the arc A C. If from the point O we let fall the 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

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

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

... upon their accuracy with much freedom, finding 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 ...
— Mr. Trunnell • T. Jenkins Hains

... Algebra 2 Geometry 2 Trigonometry 2 Analytical geometry and calculus 1 Mathematical problems involving physics and mechanics 2 Descriptive geometry 4 Bookkeeping 2 Physics 4 Mechanics 2 Electro-technics 4 Chemistry 4 Chemistry and pharmacy 4 ...
— The Condition and Tendencies of Technical Education in Germany • Arthur Henry Chamberlain

... 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 ...
— The Dew of Their Youth • S. R. Crockett

... expense of his idol. "Ne lude cum sacris," ecclesiastically rendered, signifies, do not make fun of the clergy; but among lovers it means, do not speak of my love with levity or contempt. I remember when I was in love for the third or fourth time—I was then studying trigonometry and navigation—my passion being unable to expend itself in sonnets to my mistress's eyebrow, I gave way to geometrical flights of fancy, and took the altitude of every apple-tree and well-pole in the neighborhood, and made my advances to her ...
— An Old Sailor's Yarns • Nathaniel Ames

... friend, Clarence, blew in 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 ...
— Old Gorgon Graham - More Letters from a Self-Made Merchant to His Son • George Horace Lorimer

... 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 ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various

... a 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: Santa Ysabel, Santa Catolina, La Concordia, Santa Rosa ...
— History of Negro Soldiers in the Spanish-American War, and Other Items of Interest • Edward A. Johnson

... 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 with a ...
— Of Human Bondage • W. Somerset Maugham

... Take a case in Trigonometry—a Complement is what remains after subtracting an angle from one right-angle. Take 60 degrees from 90 degrees, and we have the complement 30 degrees—a Supplement is what remains after subtracting an ...
— Assimilative Memory - or, How to Attend and Never Forget • Marcus Dwight Larrowe (AKA Prof. A. Loisette)

... 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 view the "microcosm" is represented by the human body. Makaram may be ...
— Five Years Of Theosophy • Various

... is very great, and often cannot be overcome until we have learned how to "erase all previous impressions." The concentration which enables us all through life to be intent upon the one thing we are doing, whether it is tennis or trigonometry, and drop what we have in hand at once and entirely at the right time, free to give out attention fully to the next duty or pleasure, is our saving health in mind and body. The trouble is we are afraid. We have no trust. A child is afraid to stop thinking of a lesson after it is learned,—afraid ...
— Power Through Repose • Annie Payson Call

... 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 with ...
— Owen Hartley; or, Ups and Downs - A Tale of Land and Sea • William H. G. Kingston

... 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, ...
— Punch, or the London Charivari, Vol. 102, June 11, 1892 • Various

... the age. 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 ...
— Lippincott's Magazine of Popular Literature and Science - February, 1876, Vol. XVII, No. 98. • Various

... man employs to obtain the foreknowledge of an eclipse, or of any thing else relating to the motion of the heavenly bodies, are contained chiefly in that part of science that is called trigonometry, or the properties of a triangle, which, when applied to the study of the heavenly bodies, is called astronomy; when applied to direct the course of a ship on the ocean, it is called navigation; when applied to the construction ...
— The Writings Of Thomas Paine, Complete - With Index to Volumes I - IV • Thomas Paine

... angle &c (perpendicular) 216.1, 212; obliquity &c 217; angle of 45 degrees, miter; acute angle, obtuse angle, salient angle, reentering angle, spherical angle. angular measurement, angular elevation, angular distance, angular velocity; trigonometry, goniometry; altimetry^; clinometer, graphometer^, goniometer; theodolite; sextant, quadrant; dichotomy. triangle, trigon^, wedge; rectangle, square, lozenge, diamond; rhomb, rhombus; quadrangle, quadrilateral; parallelogram; quadrature; polygon, pentagon, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... quite 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 he had found it. Once more he unscrewed ...
— Warlock o' Glenwarlock • George MacDonald

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

... 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, ...
— The World's Greatest Books, Vol III • Arthur Mee and J.A. Hammerton, Eds.

... 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 is this: ...
— Scientific American Supplement, No. 344, August 5, 1882 • Various

... 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, and gave his instruction with a lucidity, a fire, ...
— Recollections Of My Childhood And Youth • George Brandes

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

... a thoroughly liberal Education. The general School Course comprises Biblical History, Ancient History, the History and Literature of our own Country; the Greek, Latin and French Languages; Geometrical, Isometrical, Architectural and Landscape Drawing; Euclid, Algebra and Trigonometry; Navigation, Geography and Mapping; the use of the Globes, both table and high-standing; Land Surveying, Mensuration, Book-keeping, English Grammar, Composition with Precis-writing and Analysis; and such branches of Natural Science as it may be practicable from time to time ...
— Witchcraft and Devil Lore in the Channel Islands • John Linwood Pitts

... 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 ...
— A General History for Colleges and High Schools • P. V. N. Myers

... Algebra. Davies' Legendre's 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 Artillery......Practical Instruction in the and Infantry Schools of the Soldier, Company, ...
— Henry Ossian Flipper, The Colored Cadet at West Point • Henry Ossian Flipper

... nationality and 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 ...
— The New Education - A Review of Progressive Educational Movements of the Day (1915) • Scott Nearing

... 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 ...
— Framley Parsonage • Anthony Trollope

... the Pont d'Austerlitz. By this time I had ranged up abeam of the commodore, and I proposed that we should follow the river up as far as the wall again, in order to do our work honestly; but to this he objected that he had no wish to puzzle himself with spherical trigonometry; that plane sailing was his humour at the moment; and that he had, moreover, just discovered that one of his boots pinched his foot. Accordingly we proceeded straight from the bridge, not meeting the wall again until we were beyond the abattoir. ...
— Recollections of Europe • J. Fenimore Cooper

... 36.5% were women, while of those enrolled in general science courses, but 17.2% were women. In 1,511 public and private high schools and seminaries, reporting to the Bureau of Education in 1909-1910, a larger percentage of boys than of girls was enrolled in algebra, geometry, trigonometry, physics, chemistry, physical geography, civil government and rhetoric, which is a scientific study of language. A larger proportion of girls enrolled in Latin, French, German, English literature and history, and there was a slightly ...
— Woman in Modern Society • Earl Barnes

... geographical knowledge. A vast number of facts which are much inquired about, but little known, are taken up and explained. Simple formulas are given so that a student unacquainted with geometry or trigonometry may calculate the heights and distances of objects, the latitude and longitude of a place, the amount any body is lightened by the centrifugal force due to rotation, the deviation of a plumb-line from a ...
— General Science • Bertha M. Clark

... divided into four classes—topography, trigonometry, naval construction and drawing. The reasons for these you will see from my missions. My tutors were all experts in the Imperial Service. A Secret Service agent sent out to investigate and report on the condition, ...
— The Secrets of the German War Office • Dr. Armgaard Karl Graves

... they did not do so well, on account of the lack of training to think consecutively and methodically. It is a mistake to believe this a mental infirmity of the race; for a very large number of the students in college at the present time do as well in mathematics, geometry, trigonometry, mensuration, and conic sections as the white students of the same age; and some of them excel ...
— History of the Negro Race in America from 1619 to 1880. Vol. 2 (of 2) - Negroes as Slaves, as Soldiers, and as Citizens • George Washington Williams

... common type than Vivienne if he went home to Carnaby. Still, if you look a little more closely, there is literature which might throw a slightly different light upon the man's character. I notice a bulky volume on soft-wooded trees, somebody on trigonometry, geology in relation to mining, and what I recognize as a standard work on finance ...
— Alton of Somasco • Harold Bindloss

... 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 ...
— Cicero's Tusculan Disputations - Also, Treatises On The Nature Of The Gods, And On The Commonwealth • Marcus Tullius Cicero

... 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 ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... the short intervals between the end of dinner and the afternoon start for the 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

... 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

... PROCESSES.—Since logical thinking deals more with 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 ...
— The Mind and Its Education • George Herbert Betts

... better to 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 ...
— Punch or the London Charivari, Vol. 93, September 3, 1887 • Various

... position of the stars by right ascension 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, ...
— Beacon Lights of History, Volume III • John Lord

... clear to the reader familiar with trigonometry that this ratio of the two sines is nothing else but the ratio of the two distances which served us as a measure for the respective apertures of the cone. But whereas the measurement of these two distances is concerned with ...
— Man or Matter • Ernst Lehrs

... Betelgeuse up 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 ...
— The Prairie Child • Arthur Stringer

... 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 Table 2 of Bowditch. Find the angle of the course SSW, i.e., S 22 deg. ...
— Lectures in Navigation • Ernest Gallaudet Draper

... good girl, and knows altogether too much for poor Pathfinder, who is a reasonable man and an experienced man in his own way; but who has no more idea of the main chance than you have of spherical trigonometry, Sergeant." ...
— The Pathfinder - The Inland Sea • James Fenimore Cooper

... originals to this unconscious humorist—and are still. One lady, it has been declared, is not unknown in society, who has held forth to a surprised circle of her acquaintances on the operation of "trigonometry" (tracheotomy)—who, when she imparted a bit of scandal would add, "but that, you know, as the lawyers say, is inter alias"—and who wished that people would always say what they meant, and not talk ...
— The History of "Punch" • M. H. Spielmann

... Sidhanta," generally assigned to the fifth or sixth century, contains a system of Hindu trigonometry, which not only goes beyond anything known to the Greeks, but involves theorems that were not discovered in Europe till the sixteenth century.—MOUNT-STUART ELPHINSTONE'S India, b. iii. ch. ...
— Ceylon; an Account of the Island Physical, Historical, and • James Emerson Tennent

... perhaps they had a 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 ...
— The Brick Moon, et. al. • Edward Everett Hale

... of Destiny." He was one of those who had found, as he thought, what he could do, and was sensible enough to do it. Let the poor fellows, who gave themselves to science, trouble their twisted minds with trigonometry and the formula of some grotesque chemical combination; let the dull people rub their noses in the ink of Greek and Latin, which was no use for everyday consumption; let the heads of historians ache with the warring ...
— The Judgment House • Gilbert Parker

... drawing and 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 ...
— History of Woman Suffrage, Volume III (of III) • Various

... the Theory of Trigonometry and Logarithms, including Practical Geometry, Surveying, Measuring of Timber, Cask and Malt Gauging, Heights, and Distances. By THOMAS KENTISH. In one ...
— Mechanical Drawing Self-Taught • Joshua Rose

... was equal to the squares of the other two sides of a right-angled triangle. He was ashamed, however, to fail in his undertaking, and persevered with great industry, until he had finished the first four books, acquired plane trigonometry, with the method of algebraical calculation, and made himself well acquainted with the principles of surveying. But no consideration could prevail upon him to extend his inquiries farther in this science; and he returned with double relish to his former avocations, like a stream, which, being dammed, ...
— The Adventures of Peregrine Pickle, Volume I • Tobias Smollett

... 1,081 stars. He discovered the Precession of the Equinoxes, and determined the motions of the Sun and Moon, and also the length of the year, with greater precision than any of his predecessors. He invented the sciences of plane and spherical trigonometry, and was the first to use right ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard

... altogether new principles, hitherto undiscovered by any excepting himself, and for which he expects a Patent from Trinity College, Dublin; or, at any rate, from Squire Johnston, Esq., who paternizes many of the pupils; Book-keeping, by single and double entry—Geometry, Trigonometry, Stereometry, Mensuration, Navigation, Guaging, Surveying, Dialling, Astronomy, Astrology, Austerity, Fluxions, Geography, ancient and modern—Maps, the Projection of the Sphere—Algebra, the Use of the Globes, Natural and Moral Philosophy, Pneumatics, Optics, Dioptics, Catroptics, ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton

... 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 the rise in Wabash and the fall in ...
— Arcadian Adventures with the Idle Rich • Stephen Leacock

... conception of womankind resolves itself into the ministering angel? Harry certainly could not have told you if this were so; for an inquiry into the precise nature of his sensations would have posed him at any time quite as completely as a question in hydrostatics or plane trigonometry. At any rate, the consumption of The Cigar was a very important ceremony with him; not conducted in the thoughtless and improvident spirit of men who smoke a dozen or so a day, but partaking rather of the character ...
— Sword and Gown - A Novel • George A. Lawrence

... 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 Rabelais ...
— Philistia • Grant Allen

... ordinary 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 ...
— The Land of Thor • J. Ross Browne

... conciliate the good will of his jailer. From analogous observations I can credit the account in all its details, and I believe that the conduct of the captive four-hander can be traced to a mental process as utterly beyond the brain-scope of a horse, a dog, or an elephant as a problem in spherical trigonometry. ...
— Lippincott's Magazine, October 1885 • Various



Words linked to "Trigonometry" :   trigonometrician, math, spherical trigonometry, triangulation



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