Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 295
, o),etc.? 278 ANALYTICAL GEOMETRY 4. Polar co-ordinates. — The point P may also be deter-mined in space as follows : Draw OP, and througli it pass a plane ± to the xy plane and cutting the latter inthe line OM. The positionof P is then known if theline OP, the radius vector,and the angles… … Fig. 752. X = O^N = OM cos <^ = OP sin 6 cos <j> = p sin 6 cos ^.Similarly, we get y and z. X = p sin ^cos <^,^2/ = p sin ^ sin <^, I 2 = p cos 9. Also, P= ^x + y + z,^ tan </)=:—, X tan 0 — \lx + 5. Direction angles. Relation among them. — The angleswhich the radius vector of a…
Geometry, Analytic
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