Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 296
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… … 279 Fig. 153. By projecting OP on the three axes, we get, X = p cos a, ^y = pGos 13,1Z = p cos y. j .. X^ ■^f -\-Z^ ^ p^ (COS^ a + C0S2 /? + C0S2 y)..-. COS^ a + COS^ ^ -h COS^ y = 1.Note. — The co-ordinates of a point are its projections on the axes.Again, the direction cosines of the radius…
Geometry, Analytic
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