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Elements of analytic geometry (1884)

Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 132

An illustration from Elements of analytic geometry, 1884, leaf 132
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… … Diameters of a Parabola. 101, Def. The diameter of a parabola is the locus ofthe middle points of any system of parallel chords. Pkoblem. To find the equation of any diameter. Let X, y be the co-ordinates of P, the middle point of anychord CG\ x, y the co-ordinates of C; r = PC, half thelength of…

Geometry, Analytic

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