Trigonometry ...1866 |
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Σελίδα 30
... difference . ( 2 ) The difference of the sines of any two angles is equal to twice the cosine of half their sum into the sine of half their difference . ( 3 ) The sum of the cosines of any two angles is equal to twice the cosine of half ...
... difference . ( 2 ) The difference of the sines of any two angles is equal to twice the cosine of half their sum into the sine of half their difference . ( 3 ) The sum of the cosines of any two angles is equal to twice the cosine of half ...
Σελίδα 64
... difference for 1 ' or 60 " ; but as the difference 812 stands in the Tables opposite L sin 57 ° 17 ' in the column marked D , it was unnecessary to take out I sin 57 ° 18 ' , and this superfluous work will , in future , be avoided . Now ...
... difference for 1 ' or 60 " ; but as the difference 812 stands in the Tables opposite L sin 57 ° 17 ' in the column marked D , it was unnecessary to take out I sin 57 ° 18 ' , and this superfluous work will , in future , be avoided . Now ...
Σελίδα 66
... difference for 60 " , 2539508 = difference for 12 " . 508 must be subtracted from Lcot 42 ° 8 ' , since L cot de- creases as the angle increases . 10.0435306 ) 508 subtract , .. Lcot 42 ° 8 ′ 12 ′′ = 10 · 0434798 ) add , 11-2987523 ...
... difference for 60 " , 2539508 = difference for 12 " . 508 must be subtracted from Lcot 42 ° 8 ' , since L cot de- creases as the angle increases . 10.0435306 ) 508 subtract , .. Lcot 42 ° 8 ′ 12 ′′ = 10 · 0434798 ) add , 11-2987523 ...
Σελίδα 68
... difference for 60 " . = As 3430 : 919 : 60 " : 16 " , .. A = 66 ° 17 ′ 16 ′′ , and A = 132 ° 34 ' 32 " . 20+ log320-4771213 ) log 37 = 1.5682017 ) log 691-8388491 ) add , log 29 = 14623980 ) add , 22.0453230 ) 3.3012471 subtract ...
... difference for 60 " . = As 3430 : 919 : 60 " : 16 " , .. A = 66 ° 17 ′ 16 ′′ , and A = 132 ° 34 ' 32 " . 20+ log320-4771213 ) log 37 = 1.5682017 ) log 691-8388491 ) add , log 29 = 14623980 ) add , 22.0453230 ) 3.3012471 subtract ...
Σελίδα 69
... difference for 60 " . 3872 :: 60 " : 33 " , C = 10 ° 27 ' 33 " , C = 20 ° 55 ′ 6 ′′ . Now A + B + C = 132 ° 34 ' 32 " + 26 ° 30 ′ 22 ′′ + 20 ° 55 ′ 6 ′′ = 180 ° . = We have calculated all the angles for the purpose of verifying the work ...
... difference for 60 " . 3872 :: 60 " : 33 " , C = 10 ° 27 ' 33 " , C = 20 ° 55 ′ 6 ′′ . Now A + B + C = 132 ° 34 ' 32 " + 26 ° 30 ′ 22 ′′ + 20 ° 55 ′ 6 ′′ = 180 ° . = We have calculated all the angles for the purpose of verifying the work ...
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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».