Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 131
, we haveFP = JVP = OA + AM,or r= i^ + X, (3) which, being of the first degree, is sometimes called the lin-ear equation of the parabola. 100. Polar Equation of the Parabola. Problem. To find the polar equation of the parabola,the focus being the pole. Let FP = r, XFP = 6. Then, from the figure, we… … 1 + cos 0 2 cos^ ^ (5) which is the form of the polar equation generally used. Cor. The polar equation may also be easily deduced fromthe linear equation of the curve. Thus, when the vertex isthe origin, the linear equation is r^ip-\- x;and transferring the origin to the focus by writing x -\- ^p…
Geometry, Analytic
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