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angle asymptotes axes axis base becomes called centre chord circle circumscribing coefficients coincide condition conic conic section conies considered constant coordinates corresponding Crown 8vo curve denote determine difference directrix distance draw drawn ellipse envelope equal equation evidently example express extremities figure find the locus fixed line fixed point foci focus follows four points give given given point Hence hyperbola imaginary infinite infinity inscribed intercept intersection length line joining locus manner meet meet the curve method normal obtain origin pair parabola parallel particular pass perpendicular point of contact polar pole position projection proved quantity radius ratio reciprocal rectangle reduced regard relation represents respect result right angles right line roots satisfied sides square substituting suppose tangents theorem touch transform triangle values vanish vertex vertices write written
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