Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 242
e co-ordi-nates of any point P; {h, h), the co-ordinates of the focus F\and r = GD, the distance from the origin to the directrixDK, Join PP, and draw PE perpendicular to DK, and 218 PLANE ANALYTIC GEOMETRY. FH i)arallel to OX. Then, by the definition of a conic sectiongiven in § 181, Chapter VIL,… … Expanding and collecting terms, we have (1 — e cos^a:)^;^ + (1 — e dna)y — 2e sin a cos a xy-\- (2er cos a — 2h)x + (J^ei sin a — 2k)y+ {h + F - er) = 0. (21) To compare this with the general equation, we must divideboth it and the general equation by their absolute terms, inorder that the two may…
Geometry, Analytic
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