Spherical Trigonometry ...Macmillian and Company, limited, 1859 - 275 páginas |
Dentro del libro
Resultados 1-5 de 19
Página 18
... formula in Art . 37 becomes when c = π 2 . ( 4 ) Suppose that both the sides which contain the angle A are quadrants . The formula then becomes cos a = cos A ; and this is obviously true , for A is now the pole of BC , and thus A = a ...
... formula in Art . 37 becomes when c = π 2 . ( 4 ) Suppose that both the sides which contain the angle A are quadrants . The formula then becomes cos a = cos A ; and this is obviously true , for A is now the pole of BC , and thus A = a ...
Página 23
... formula of Art . 37 we may , by Art . 28 , change the sides into the supplements of the corresponding angles and the angle into the supplement of the corresponding side ; thus - COS ( π - A ) = COS ( π – В ) cos ( π — C ) + sin ( π −В ) ...
... formula of Art . 37 we may , by Art . 28 , change the sides into the supplements of the corresponding angles and the angle into the supplement of the corresponding side ; thus - COS ( π - A ) = COS ( π – В ) cos ( π — C ) + sin ( π −В ) ...
Página 27
... formulæ in Art . 47 were obtained ; but these formulæ may be deduced analytically from those in Art . 39 , and thus the whole subject may be made to depend upon the formulæ of Art . 39 . For from Art . 39 we obtain expressions for cos A ...
... formulæ in Art . 47 were obtained ; but these formulæ may be deduced analytically from those in Art . 39 , and thus the whole subject may be made to depend upon the formulæ of Art . 39 . For from Art . 39 we obtain expressions for cos A ...
Página 28
... formula in Art . 39 to each triangle , supposing b , c , and A the same in the two triangles ; then the remaining two formulæ of Art . 39 will shew that B and C are the same in the two triangles . It should be observed that the two ...
... formula in Art . 39 to each triangle , supposing b , c , and A the same in the two triangles ; then the remaining two formulæ of Art . 39 will shew that B and C are the same in the two triangles . It should be observed that the two ...
Página 33
... formula in ( 2 ) and the first that the sacos B tan c tan a sin A sin c ... equations ; and thus we can case of right - angled triangles . For every one of ... Art . 39 , ( 2 ) from Art . 41 , from the fourth and fifth equations of Art ...
... formula in ( 2 ) and the first that the sacos B tan c tan a sin A sin c ... equations ; and thus we can case of right - angled triangles . For every one of ... Art . 39 , ( 2 ) from Art . 41 , from the fourth and fifth equations of Art ...
Otras ediciones - Ver todas
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1949 |
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1929 |
Términos y frases comunes
A+B+C ambiguity angular points approximately bisecting Cambridge centre circular measure cloth cos b cos cos² cos³ cosine Crown 8vo deduce denote drawn equal angles equilateral example expressed Fcap formulæ formulæ of Art greater Hence hypothenuse inscribed Legendre's Theorem less Let ABC lune meet middle point Napier's analogies Napier's Rules obtained octahedron opposite angle opposite sides parallelopiped perpendicular plane angles plane triangle Plane Trigonometry polar triangle pole polygon preceding article primitive triangle prove quadrant R₁ r₂ radius regular polyhedron respectively right angle right-angled triangles Second Edition shew shewn sides and angles Similarly sin b cos sin b sin sin² sin³ sine solid angle sphere spherical excess spherical triangle Spherical Trigonometry subtended Suppose surface tangent tetrahedron Treatise triangle ABC Trigono Trinity College values π π
Pasajes populares
Página 16 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 23 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Página 20 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Página 8 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Página 13 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Página 109 - Life of John Milton, narrated in -Connexion with the Political, Ecclesiastical, and Literary History of his...
Página 15 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Página 14 - Prize Essay for 1877. 8vC. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Página 5 - And an Introduction, explanatory of his position in the Church, with reference to the Parties which divide it. 3 vols. 8vo.
Página 28 - If two triangles have two sides of the one equal to two sides of the...