# Orthologic Tetrahedra with Intersecting Edges

@inproceedings{Schrocker2009OrthologicTW, title={Orthologic Tetrahedra with Intersecting Edges}, author={Hans-Peter Schrocker}, year={2009} }

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

#### References

SHOWING 1-10 OF 13 REFERENCES

Discrete Differential Geometrie

- Integrable Structure, volume 98 of Graduate texts in mathematics. American Mathematical Society
- 2008

Discrete Differential Geometrie

- Integrable Structure , volume 98 ofGraduate texts in mathematics . American Mathematical Society
- 2008

Pure Solid Geometry, Chelsea Publishing Company, New York, 2 edition

- 1964

Un group de trois tétraèdres

- Acad. Roy. Belg. Bull. Cl. Sci. (5) 5(9)
- 1923