## Modern pure solid geometry |

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### Contents

PRELIMINARY | 1 |

THE TRIHEDRAL ANGLE | 29 |

THE SKEW QUADRILATERAL | 47 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

altitude bimedians bisecting planes centers of similitude centroid circumcenter circumsphere coaxal pencil coincides collinear coplanar Corollary corresponding DABC diameter dihedral edges BC Euler line external bisectors face angles Find the locus four given spheres four spheres given line given point given tetrahedron harmonic conjugate hedron hence the proposition homothetic hyperbolic group isoclinal lines isodynamic points isodynamic tetrahedron isogonal isosceles tetrahedron Lemoine point line of centers line of intersection lines joining medians meet mid-point Monge point opposite edges opposite faces orthic orthocentric group orthocentric tetrahedron orthogonal spheres pairs of opposite parallel parallelepiped pencil of spheres plane ABC plane determined plane passing point with respect points of contact polar plane radical axis radical plane radii radius ratio S-abc segment skew lines skew quadrilateral sphere of similitude spheres of antisimilitude squares symmedian tangent planes tetra tetrahedron ABCD three lines three spheres triangle ABC trihedral angle trihedron vertex