Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 29
d the polar coordinatesof P. As a, ft, y are direction angles, they are not independent, since by equation (1) cos2 a + cos2 ft -f- cos2 y = 1. If the rectangular coordinates of P are x, y, z, then (Art. 3) ^ ? x = p cos a, y = p cos ft, z = p cos y. 8. Cylindrical coordinates. A point is… … FlG- 8- ARTS. 8, 9] SPHERICAL COORDINATES 11 point P is referred to the rectangularaxes x, y, z, and the fixed plane is takenas z = 0 and the ic-axis for polar axis,we may write (Fig. 9) x = p cos 0, y = p sin = z, in which p, 0, z are the cylindrical coordinates of P. w FIG. 9. 9. Spherical…
Geometry, Analytic
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