## Modern Pure Solid Geometry |

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### Contents

PRELIMINARY | 1 |

THE TRIHEDRAL ANGLE | 27 |

THE SKEW QUADRILATERAL | 42 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

altitude axis base belonging bimedians bisecting planes called centers of similitude centroid circle circular circumcenter coaxal pencil coincides collinear common cone considered Construct contains Converse coplanar Corollary corresponding cuts DABC Definition determined diameter dihedral distances divides drawn equal external faces Find fixed follows four given line given point given spheres harmonic conjugate hence the proposition homothetic imaginary internal intersection inverse isogonal Lemoine lies line of centers lines joining locus medians meets mid-point opposite edges orthocentric orthocentric tetrahedron orthogonal pairs pairs of opposite parallel passing perpendicular point with respect points of contact polar plane principal problem projections proof proved radical plane radii radius ratio relative remaining Remark respect segment Show sides Similarly square symmetric tangent tangent plane tetrahedron ABCD Theorem three spheres trace triangle trihedral angle trihedron vertex vertices