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Trigonometry, surveying and navigation (1903)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 147

An illustration from Trigonometry, surveying and navigation, 1903, leaf 147
is a regular spherical quadrilateral.Find the angle .4 of the square, having given the side a. CHAPTER VIIITHE OBLIQUE SPHERICAL TRIANGLE SECTION LIV FUNDAMENTAL FORMULAS Let ABC (Fig. 99) be an oblique spherical triangle, a, b, cits three sides, A, B, C the angles opposite a, b, c, respectively.… … and sin p = sin a sin B,sin p = sin b sin A. Therefore,similarly,and sin a sin B = sin b sin Asin a sin C = sin c sin Asin b sin C = sin c sin B [44] These equations may also be written in the form ofproportions : sin a : sin b : sin c = sin A : sin B : sin C. That is, the sines of the sides of a…

Trigonometry · Surveying · Navigation

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