Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 302
n § 48, Part I, for the coordinates of the point inthe plane, and for tliat reason need not be given here, thoughthe student is advised to write out the proof for himself. 11. Relation between Rectangular and Polar Coordinates. If the lines OX and OZ used in defining the polar coordi-nates of a… … Fig. 12. For if, in Fig. 12, the polar coordinates of P (x, y, z) arer, (j>, and 0, and PM is drawn parallel to OZ, it is readily seenthat OP = r, Z ZOP = </>, and Z XOM = 0, since Z XOM isthe plane angle of the diedral angle between the planes XOZand MONP. Thereforeandalsoand ON = OP cos…
Geometry, Analytic
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