Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 89
the ellipse and hyper-bola the numerical value ofthe semi-parameter p is a(l-e^);hence the polar equation ofellipse and hyperbola is 1 — e cos 0 In the ellipse e is less thanunity, and r is therefore Fig. 07. . -^ always positive. For ^ = 0,r — a(l + e), showing that the pole is at the left-hand… … cos~ - in the first quadrant toe quadrant, again positive fromrant to ^ = 3G0 ,^il cos^^ - in the fourth quad-e 1 r becomes infinite for 6 = cos ^ -; hence lines 1 through the focus making angles whose cosine is - with the axis of the hyperbola are parallel to the asymptotes of thehyperbola.…
Geometry, Analytic
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