Trigonometry ...1866 |
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Σελίδα
... prove them " read prove those in Art . 27 . Page 30 , line 19 , omit " smaller . " PLANE TRIGONOMETRY . CHAPTER I. CONVENTION RESPECTING THE SIGNS +.
... prove them " read prove those in Art . 27 . Page 30 , line 19 , omit " smaller . " PLANE TRIGONOMETRY . CHAPTER I. CONVENTION RESPECTING THE SIGNS +.
Σελίδα 9
... OP2 cos2A + sin'A = + OP2 OP2 = = OP2 1 , sec2A = = OM2 cosec2 A OP2 OM2 + PM2 = OP2 PM2 = OM2 PM2 + OM2 PM2 - 1+ OM = 1 + tan A , OM 2 = 1+ PM2 PM 1+ cot24 . C 12. To prove that sin ( — A ) = 11. ] 9 PLANE TRIGONOMETRY .
... OP2 cos2A + sin'A = + OP2 OP2 = = OP2 1 , sec2A = = OM2 cosec2 A OP2 OM2 + PM2 = OP2 PM2 = OM2 PM2 + OM2 PM2 - 1+ OM = 1 + tan A , OM 2 = 1+ PM2 PM 1+ cot24 . C 12. To prove that sin ( — A ) = 11. ] 9 PLANE TRIGONOMETRY .
Σελίδα 10
James M'Dowell. 12. To prove that sin ( — A ) = — sinA and cos ( -A ) = cos A , and to deduce the other trigonometrical ratios of - A. Let POMA , and POM - A . Y P2 N P1 x = M ' M A -X N ' P P4 So that the right - angled triangles POM ...
James M'Dowell. 12. To prove that sin ( — A ) = — sinA and cos ( -A ) = cos A , and to deduce the other trigonometrical ratios of - A. Let POMA , and POM - A . Y P2 N P1 x = M ' M A -X N ' P P4 So that the right - angled triangles POM ...
Σελίδα 11
... prove that - - sin ( 180 ° -4 ) = sinA and cos ( 180 ° - A ) = — cos A. Let / POX = A and make the P'OX ' = A , then P'OX = 180 ° — A. Make OP = OP , then the right - angled triangles POM and P'OM ' are geometrically equal in all ...
... prove that - - sin ( 180 ° -4 ) = sinA and cos ( 180 ° - A ) = — cos A. Let / POX = A and make the P'OX ' = A , then P'OX = 180 ° — A. Make OP = OP , then the right - angled triangles POM and P'OM ' are geometrically equal in all ...
Σελίδα 12
... 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 triangles POM and P'OM ' are clearly equal in all respects , and P'M ...
... 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 triangles POM and P'OM ' are clearly equal in all respects , and P'M ...
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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.
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