Trigonometry ...1866 |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 7
... cosec for cosecant , vers for versed sine , covers for coversed sine . 10. Trigonometrical ratios or functions . Y ( 1 ) P X x Ο M -X M Let the two indefinite straight lines X'X , Y'Y meet at right angles in O , and call X'X the initial ...
... cosec for cosecant , vers for versed sine , covers for coversed sine . 10. Trigonometrical ratios or functions . Y ( 1 ) P X x Ο M -X M Let the two indefinite straight lines X'X , Y'Y meet at right angles in O , and call X'X the initial ...
Σελίδα 10
... in the three other quadrants . Hence also tan ( -A ) sin ( -A ) - sinA cos ( -A ) COSA = tan A , .. cot ( -A ) == cotA , sec ( -A ) = 1 = 1 cos ( 4 ) cos A = = secA , cosec ( -A ) = 1 = 1 sin ( 10 [ 12 . PLANE TRIGONOMETRY .
... in the three other quadrants . Hence also tan ( -A ) sin ( -A ) - sinA cos ( -A ) COSA = tan A , .. cot ( -A ) == cotA , sec ( -A ) = 1 = 1 cos ( 4 ) cos A = = secA , cosec ( -A ) = 1 = 1 sin ( 10 [ 12 . PLANE TRIGONOMETRY .
Σελίδα 11
James M'Dowell. cosec ( -A ) = 1 = 1 sin ( -A ) sin A - - cosecA , vers ( -4 ) = 1 - cos ( -A ) = 1 — cosA , covers ... cosec ( 180 ° - A ) = 1 cos ( 180 ° - A ) = 1 1 secA , - cos A = = cosecД . = 1 sin ( 180 ° - A ) ̄ ̄ sinĀ 14 . To ...
James M'Dowell. cosec ( -A ) = 1 = 1 sin ( -A ) sin A - - cosecA , vers ( -4 ) = 1 - cos ( -A ) = 1 — cosA , covers ... cosec ( 180 ° - A ) = 1 cos ( 180 ° - A ) = 1 1 secA , - cos A = = cosecД . = 1 sin ( 180 ° - A ) ̄ ̄ sinĀ 14 . To ...
Σελίδα 12
... cosec ( 180 ° + A ) = = == cosecД . sin ( 180 ° + A ) sinA 15 . To prove that sin ( 90 ° - A ) = cos A and cos ( 90 ° — A ) = sinA . - Let POX = A and make △ YOP ' = A , so that P'OM ' 90 ° - A. Make OP ' = OP . = The right - angled ...
... cosec ( 180 ° + A ) = = == cosecД . sin ( 180 ° + A ) sinA 15 . To prove that sin ( 90 ° - A ) = cos A and cos ( 90 ° — A ) = sinA . - Let POX = A and make △ YOP ' = A , so that P'OM ' 90 ° - A. Make OP ' = OP . = The right - angled ...
Σελίδα 13
... cosec ( 90 ° -4 ) = sin ( 90 ° A ) 16 . To prove that sin ( 90 ° - A ) cosA sin ( 90 ° + A ) = cos △ and cos ( 90 ° + A ) = − sinA . Let / POX = A , and make YOP ' A , so that = P'OX = 90 ° + A. Also make OP ' = OP , then the right ...
... cosec ( 90 ° -4 ) = sin ( 90 ° A ) 16 . To prove that sin ( 90 ° - A ) cosA sin ( 90 ° + A ) = cos △ and cos ( 90 ° + A ) = − sinA . Let / POX = A , and make YOP ' A , so that = P'OX = 90 ° + A. Also make OP ' = OP , then the right ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
angle POX increases angles terminated Cambridge centre circular measure coincides Conic Sections cos(a cos² cos4 cosB cosB+ cosec cosine cotA cotangent D.D. Dean D.D. Third Edition Dean of Ely decreases numerically Euclid EXAMPLES ON CHAPTER F. A. PALEY Fcap Fellow of St Fellow of Trinity Geometrical given angle given ratio Greek Hence J. R. SEELEY J. W. DONALDSON JONATHAN PALMER Late Fellow less than 90 log(s loga logarithms M.A. Fellow Mathematics negative and decreases P'OM Pembroke College perpendicular positive angle prove r₁ radius recensuit right-angled triangles POM secA secant Second Edition sides sin²A sin³A sinA sinB sine sine and cosine solution solve the triangle St John's College Students subtended subtract tanA tangent triangle ABC TRIGONO Trigonometrical Ratios Trinity College University of Cambridge values W. H. BESANT ОР
Δημοφιλή αποσπάσματα
Σελίδα 2 - The Greek Testament: with a critically revised Text; a Digest of Various Readings; Marginal References to verbal and Idiomatic Usage; Prolegomena; and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers, By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Σελίδα 3 - A Plain Introduction to the Criticism of the New Testament. With 40 facsimiles from Ancient Manuscripts. For the use of Biblical Students. By FH SCRIVENER, MA Trinity College, Cambridge. 8vo. 15*.
Σελίδα 3 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester.
Σελίδα 3 - Pearson on the Creed. Carefully printed from an early edition. With Analysis and Index by E. Walford, MA Post 8vo. 5s. An Historical and Explanatory Treatise on the Book of Common Prayer.
Σελίδα 1 - Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By the Very Rev.
Σελίδα 1 - Newton's Principia. First Three Sections, with Appendix, and the Ninth and Eleventh Sections. By the Rev. JH EVANS, MA Fourth Edition. 8vo. 6».
Σελίδα 4 - Demosthenes. Select Private Orations of. After the text of DINDORF, with the Various Readings of REISKE and BEKKER. With English Notes. For the use of Schools. By 0. T. PENROSE, AM Second Edition. Revised and corrected. 12mo. is. Euripides. Fabulse Quatuor, scilicet, Hippolytus Coronifer, Alcestis, Iphigenia in Aulide, Iphigenia in Tauris.
Σελίδα 4 - Plato. The Gorgias, literally translated, with an Introductory Essay, containing a Summary of the Argument. By EM COPE, MA Fellow of Trinity College, Cambridge. 8vo. 7».
Σελίδα 6 - Progressive Exercises in Greek Tragic Senarii, followed by a Selection from the Greek Verses of Shrewsbury School, and prefaced by a short Account of the Iambic Metre and Style of Greek Tragedy. For the use of Schools and Private Students. Second Edition, altered and revised. 8vo. 8».
Σελίδα 82 - Collection of Elementary Problems in Statics and Dynamics. Designed for Candidates for Honours, first three days. By W. WALTON, MA 8vo. 10».