## A History of the Conic Sections and Quadric Surfaces |

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algebraic angles Apollonius appears assume asymptotes axes axis called central centre chapter circle common complete condition cone confocal conjugate connecting construction coordinates corresponding cubic curve dealing dependent Desargues determine developed diameter differential direction discussion distance double draw ellipse envelope equal equation expressed fixed focal follows four geometry given given point gives Greek harmonic Hence homogeneous hyperbola infinite infinity interesting intersection introduction invariant involution length limiting line conic linear linearly locus mathematics matter means meet method moving normal notation original pairs Paperbound parabola parallel pass pencil perpendicular plane point conic polar pole problem projective proof properties prove quadratic quadric ratio regard relation roots self-conjugate shows sides space sphere square straight Suppose surface tangent Theorem theory third touch transformation triangle twice variable vertex vertices write