Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 26
, ft, y are direction angles, they are not independent, since by equation (1) cos^ a + cos^ ft -f cos^ 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 determined when itsdirected distance from a… … point P is referred to the rectangularaxes X, y, z, and the fixed plane is takenas 2 = 0 and the a;-axis for polar axis,we may write (Fig. 9) x= p cos 6, y = p sin 6, z = z, in which p, 0, z are the cylindrical coordi-nates of P. 9. Spherical coordinates. Let OX, 0 Y, OZ, and P be chosen asin Art.…
Geometry, Analytic
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