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Plane and solid analytic geometry (1921)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 109

An illustration from Plane and solid analytic geometry, 1921, leaf 109
takethe axis of x perpendicular to Dand passing through F. Let us dothis, choosing the positive sensefrom A toward F. Eor the axis of y three simplechoices present themselves, namely: (a) through A; (b) along D; (c) through F. Perhaps (p) seems most natural;but (a) has the advantage that thecurve… … Fig. 4 m EF=m, AF = ~, and ^^=?. V THE PARABOLA 91 By Ch. I, § 3, ^^=\/(--^T+2/ On the other hand, the distance of P from D is X -\ 2 By definition, these two distances are equal, or: Square each side of the equation, so as to remove the radical,and expand the binomials : (2) x^ - mx -j- — + y^ =…

Geometry, Analytic -- Plane · Geometry, Analytic -- Solid

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