## Analytical quadrics |

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### Contents

INTRODUCTION 1 Point coordinates | 1 |

Distance between two points | 2 |

Joachimsthals section formula | 3 |

Copyright | |

67 other sections not shown

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### Common terms and phrases

2fyz 2gzx 2hxy Accordingly angle axes axis base curve central quadric centre circle at infinity circular cone circular section coefficients confocal corresponding cos2 degenerate diametral plane direction-cosines direction-ratios discriminating cubic double contact elliptic enveloping cone fixed point focal conics focal parabolae Hence homogeneous coordinates hyperbolic paraboloid hyperboloid Lagrange's identity lies line of intersection locus matrix Miscellaneous examples normals Obtain the equation pair parallel planes passes pencil of planes perpendicular plane at infinity plane section plane Xx plane-pair planes of circular point at infinity points of intersection polar plane pole quadratic equation quadric ax2 quadric cone quadric envelope quadric F ratio reduced equation represents respect roots rotation rotation of axes Show skew lines sphere x2 straight line surface surface of revolution tangent plane tangential equation tetrahedron three planes vertex yields the result z-axis zero