## A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric Methods |

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### Contents

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### Common terms and phrases

angle asymptotes axes axis base becomes called centre chord circle circumscribing coefficients coincide common tangents condition conic conjugate considered constant coordinates corresponding curve denote determine diameter difference distance double drawn ellipse equal equation evidently example express extremities figure find the locus fixed line fixed point 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 normal obtain origin pair parabola parallel particular pass perpendicular point of contact polar pole position projection properties proved quantity radical radius ratio reciprocal rectangle reduced regard relation represents respect result right line roots satisfied second degree sides square substituting suppose tangents theorem touch transform triangle values vanish vertex vertices write written

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