Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 31
her hand, a given point has many sets of polar coor-dinates. For example, the point P in Fig. 9 is (—5, —30°),(5, 150°), (-5, 330°), (5, -210°), etc. It is always possible,however, and usually most convenient, to choose the polar coor-dinates of a point so that the radius vector shall be a… … r = OF and XOP. Fig. 10 Let OX and OF be theX- and y-axes, respec-tively, so that the rec-tangular coordinates ofP are X = OB and y = DP. Now, wherever the point P may be located in the plane, we always have oc = r cos 6 and ?/ = r sin 6. (1) Art. 9] RELATION BETWEEN COORDINATES 15 From equations…
Geometry, Analytic
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