Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 233
6, y = p sin <f> sin 0, [8] z — p cos <|>. Note. — Spherical coordinates have usually been called polar coordi-nates. But the application of the system described in Art. 6 is morenearly analogous to the uses of polar coordinates in two dimensions. 8. Angle between two lines. — Let uv… … Then by [1] Fig. 7. *VY = Oi - ^)2 + (jfi - y*y + Oi - *2)2> or by [6] = (px cos ax — p2 cos «2)2~l~G0i cos ^i~p2 cos ^)2 + 0>icos71-/?2cos72)2,or by [7] = Pi+p^ — 2 pxp2 (cos ax cos a 2 + cos /3X cos fi2 -f- cosyj cos72). Ch. I, § 8] COORDINATE SYSTEMS. THE POINT 217 But by the law of the…
Geometry, Analytic
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