Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página 18
... to the tangent of half their difference . By the preceding prop . AC : BC :: sin B : sin A , .. by comp , and div . AC + BC : AC - BC :: sin B + sin a : sin B sin A. But , ( prop . 11 ) sin B + 18 Plane Trigonometry .
... to the tangent of half their difference . By the preceding prop . AC : BC :: sin B : sin A , .. by comp , and div . AC + BC : AC - BC :: sin B + sin a : sin B sin A. But , ( prop . 11 ) sin B + 18 Plane Trigonometry .
Página 22
... preceding figures , that is , 0002908882 may be regarded as the sine of 1 ' ; and in fact the sine given in the tables which run to seven places of figures is 0002909. By chap . i . art . 19 , we have , for any arc , COS = ( sin2 ) ...
... preceding figures , that is , 0002908882 may be regarded as the sine of 1 ' ; and in fact the sine given in the tables which run to seven places of figures is 0002909. By chap . i . art . 19 , we have , for any arc , COS = ( sin2 ) ...
Página 23
... preceding operations , will ma- nifestly establish the correctness of both . The sines and cosines of the degrees and minutes up to 30 ° , being determined by these or other processes ( some of which will be indicated in the 4th chapter ) ...
... preceding operations , will ma- nifestly establish the correctness of both . The sines and cosines of the degrees and minutes up to 30 ° , being determined by these or other processes ( some of which will be indicated in the 4th chapter ) ...
Página 28
... preceding operation , instead of adding to- gether the logs . of the second and third terms , and sub- tracting that of the first from their sum , the work has been performed thus : -The right hand figure of the upper line was taken ...
... preceding operation , instead of adding to- gether the logs . of the second and third terms , and sub- tracting that of the first from their sum , the work has been performed thus : -The right hand figure of the upper line was taken ...
Página 32
... preceding chapter ; and the remaining angles either by a repetition of the same rule , or by the relation of sides to the sines of their opposite angles . Example I. 11. The three sides of a triangle are 32 Plane Trigonometry .
... preceding chapter ; and the remaining angles either by a repetition of the same rule , or by the relation of sides to the sines of their opposite angles . Example I. 11. The three sides of a triangle are 32 Plane Trigonometry .
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith