Trigonometry ...1866 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 39
... determine the signs of both expressions sinA + cos sin 4 - cos4 . and Now for values of A from -45 ° to + 45 ° , that is , through the angle HOE , cos4 is greater than sin ; therefore for those limits of A sin + cos and sin - cost ...
... determine the signs of both expressions sinA + cos sin 4 - cos4 . and Now for values of A from -45 ° to + 45 ° , that is , through the angle HOE , cos4 is greater than sin ; therefore for those limits of A sin + cos and sin - cost ...
Σελίδα 41
... sin ( a - - 0 0 ) = m - n m + n sin 20 m - n or sin 2a m + n ' m n ... sin 20 = m + n sin 2a , which determines 0 . Hence a + and a- are known . G Geometrical Solution . In the straight line BC take BD 46. ] 41 PLANE TRIGONOMETRY .
... sin ( a - - 0 0 ) = m - n m + n sin 20 m - n or sin 2a m + n ' m n ... sin 20 = m + n sin 2a , which determines 0 . Hence a + and a- are known . G Geometrical Solution . In the straight line BC take BD 46. ] 41 PLANE TRIGONOMETRY .
Σελίδα 42
... determines 0 . Hence a + and a ( See fig . Art 46. ) - 0 are known . Geometrical Solution . Make BAC equal to the given angle , and AE : AF in the given ratio . Draw ED perpendicular to AB , and FD per- pendicular to AC , meeting in D ...
... determines 0 . Hence a + and a ( See fig . Art 46. ) - 0 are known . Geometrical Solution . Make BAC equal to the given angle , and AE : AF in the given ratio . Draw ED perpendicular to AB , and FD per- pendicular to AC , meeting in D ...
Σελίδα 43
... determines 0 . Hence a + and a - 0 are known . ( See fig . Art . 46. ) Geometrical Solution . Make the angle EDF equal to the supplement of the given angle , and DE : DF in the given ratio . Draw EA perpen- dicular to DE , and FA ...
... determines 0 . Hence a + and a - 0 are known . ( See fig . Art . 46. ) Geometrical Solution . Make the angle EDF equal to the supplement of the given angle , and DE : DF in the given ratio . Draw EA perpen- dicular to DE , and FA ...
Σελίδα 44
... determined , or the triangle can be constructed . This can be easily shewn Geometrically , but it is the object of the present chapter to shew it Trigonometrically by solving the following PROBLEM . Given any three parts of a triangle ...
... determined , or the triangle can be constructed . This can be easily shewn Geometrically , but it is the object of the present chapter to shew it Trigonometrically by solving the following PROBLEM . Given any three parts of a triangle ...
Άλλες εκδόσεις - Προβολή όλων
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».