Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 214
ig. 118, let OD=r, the angle XOD = (f>, and DP = z; (?•, <^, z) are the cylindrical coordi-nates of P. Again, let a,P, y denote the angles which 2 OP = r makes with the X-,Y-, and Z-axes, respec-tively ; then (r, «, /3, y) arethe polar coordinates of P. Spherical coordinates andcylindrical… … EXERCISES 1. Using Fig. 118, show that the rectangular coordinates of P and thespherical coordinates of P are connected by the following formulas: x = r s\nd cos 0, y = r sin 6 sin 0, z = r cos 0. Conversely, show that r^ = x^ + y- -\- z^,tan^g=^ + y, tan (p — 2. What are the formulas connecting…
Geometry, Analytic
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