## A history of the conic sections and quadric surfaces |

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### Contents

THE GREEKS | 1 |

Pappus of Alexandria | 8 |

Properties of tangents harmonic property of the polar | 14 |

Copyright | |

28 other sections not shown

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### Common terms and phrases

algebraic angles Apollonius Archimedes asymptotes axes axis central conic central quadric centre chapter Chasles chords circle circular sections circumscribed coefficients collinear complete quadrangle complete quadrilateral conic sections conjugate diameters conjugate with regard corresponding counted twice cross ratios cubic Desargues diagonal differential equations distance double contact droites ellipse ellipsoid envelope foci four points geometers geometry given conic given points gives Greek harmonically separated homogeneous hyperbola Index infinite number infinity inscribed intersection invariant involution line at infinity line conic line connecting linear transformation linearly dependent lines of curvature locus mathematics Menaechmus method mutually perpendicular normal notation Paperbound Pappus parabola parallel pass pencil point conic points of contact polar plane pole Poncelet problem projective proof properties quadratic quadric cone quadric surfaces self-conjugate with regard sides sphere straight line Suppose system of conics tangent planes tetrahedron theory touch triangle variable vertex vertices write