Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 78
n. Let 0 be a fixed point on thesurface of a sphere of radius r, and let TT be the plane tangent tothe sphere at the opposite end of the diameter passing through0. The intersection with w of the line joining 0 to any point Plon the surface is called thestereographic projection ofPI (Fig. 24). To… … 60 THE SPHERE [CHAP. V. The equations of the line joining 0 = (0, 0, 2 r) to P^ = fa, ylt zjon the sphere are (Art. 19) ?_=y_ = z — 2r ci y\ ~ % - 2 r To determine the coordinates fa y, 0) of P, the point in whichOPl intersects TT, we make the equations of the line simultaneouswith z = 0. On…
Geometry, Analytic
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