# Pohlke-Schwarz theorem

From Encyclopedia of Mathematics

Any complete plane quadrilateral can serve as the parallel projection of a tetrahedron similar to a given one.

The theorem was first stated in a different form by K. Pohlke (1853), and was generalized by H.A. Schwarz (1864).

#### References

[1] | P.S. Alexandroff [P.S. Aleksandrov] (ed.) et al. (ed.) , Enzyklopaedie der Elementarmathematik , 4. Geometrie , Deutsch. Verlag Wissenschaft. (1967) (Translated from Russian) |

**How to Cite This Entry:**

Pohlke-Schwarz theorem.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Pohlke-Schwarz_theorem&oldid=22909

This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article