The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 102
extremities of these diameters passes through the other pointof intersection, and is parallel to the line joining their centres.Prove this for the circles given in § 45, Ex. 9. 53. We will close this chapter by finding the polar equationof the circle. Let Ox be the initial line, and O the pole. Let… … Now C P-^ O C-V OP- 2 OCX OPx cos COP. . (i) OP^r. CP=a, OC=r, From the figure and § 3, we have C O P= XOP-XOC = {y - x%. Substituting these values in (i), we obtain a^ = 7-^ _|_ r^ — 2 ^c r cos {& — &q\ which must be the required equation.This may be written in the form r — 2 r^ r cos…
Geometry, Analytic -- Plane
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