Corpus ID: 12753039

Orthologic Tetrahedra with Intersecting Edges

  title={Orthologic Tetrahedra with Intersecting Edges},
  author={Hans-Peter Schrocker},
Two tetrahedra are called orthologic if the lines through vertices of one and perpendicular to corresponding faces of the other are intersecting. This is equivalent to the orthogonality of non-corresponding edges. We prove that the additional assumption of intersecting non-corresponding edges (“orthosecting tetrahedra”) implies that the six intersection points lie on a sphere. To a given tetrahedron there exists generally a one-parametric family of orthosecting tetrahedra. The orthographic… Expand

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