Trigonometry ...1866 |
Inni boken
Resultat 1-5 av 16
Side 1
... perpendicular to X'X and P , N , and P , N ' to Y'Y , then OM or PN is positive , and also ON or PM ; whilst OM ' or P , N ' and ON ' or PM ' are negative . In other words , perpendicular distances from XX and above it are positive ...
... perpendicular to X'X and P , N , and P , N ' to Y'Y , then OM or PN is positive , and also ON or PM ; whilst OM ' or P , N ' and ON ' or PM ' are negative . In other words , perpendicular distances from XX and above it are positive ...
Side 3
... perpendicular to A'B ' and AB . Then from the similar triangles AOB , A'OB ' we have AB A'B ' = AO A'O ' that is therefore AB A'B ' 2 n . AB n . A'B ' r r ' Now , n . AB and n . A'B ' are the perimeters of the two polygons , and when n ...
... perpendicular to A'B ' and AB . Then from the similar triangles AOB , A'OB ' we have AB A'B ' = AO A'O ' that is therefore AB A'B ' 2 n . AB n . A'B ' r r ' Now , n . AB and n . A'B ' are the perimeters of the two polygons , and when n ...
Side 8
... perpendicular to X'X ; then if we put the angle POX = A , we have the following definitions : PM sin A = OP ' PM tan A = OM ' OP secA = OM ' versA = 1 - cosA , OM cos A = OP ' OM cotA = = PM ' ОР cosecД = PM ' covers A1 - sinA . cos A ...
... perpendicular to X'X ; then if we put the angle POX = A , we have the following definitions : PM sin A = OP ' PM tan A = OM ' OP secA = OM ' versA = 1 - cosA , OM cos A = OP ' OM cotA = = PM ' ОР cosecД = PM ' covers A1 - sinA . cos A ...
Side 21
... perpendicular to AB , and = BC , and join AD . AB AB = BD BC ' = AB = AB BD BC Then cotA = and tanD = cot A AB Hence , if the cotangent be given = BO A is the required AB - BC ' D is the required angle ; and if the tangent be given ...
... perpendicular to AB , and = BC , and join AD . AB AB = BD BC ' = AB = AB BD BC Then cotA = and tanD = cot A AB Hence , if the cotangent be given = BO A is the required AB - BC ' D is the required angle ; and if the tangent be given ...
Side 24
... perpendicular to OX and PQ perpendicular to OC ; draw QN perpendicular to OX and QR perpendicular to PM . X- P R Q B X MN Then the angle QPR 90 ° - PQR = RQO = A . = PM RM + PR QN + PR Now sin ( A + B ) = = = ОР OP OP cos ( A + B ) * ом ...
... perpendicular to OX and PQ perpendicular to OC ; draw QN perpendicular to OX and QR perpendicular to PM . X- P R Q B X MN Then the angle QPR 90 ° - PQR = RQO = A . = PM RM + PR QN + PR Now sin ( A + B ) = = = ОР OP OP cos ( A + B ) * ом ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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*.
Side 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.
Side 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.
Side 1 - Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By the Very Rev.
Side 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».
Side 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.
Side 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».
Side 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».
Side 82 - Collection of Elementary Problems in Statics and Dynamics. Designed for Candidates for Honours, first three days. By W. WALTON, MA 8vo. 10».