On a question of H. A. Schwarz

Abstract

This work described here is part of a project to document the life and work of Kurt Heegner (1893–1965) whose papers have been deposited in the Handschriftenabteilung of the SUB Göttingen. The question with which this paper is concerned is the rationality of the variety which describes the connection of the volume of a tetrahedron with its side-lengths (Cayley–Menger formula).

This work described here is part of a project to document the life and work of Kurt Heegner (1893–1965) whose papers have been deposited in the Handschriftenabteilung of the SUB Göttingen. The question with which this paper is concerned is the rationality of the variety which describes the connection of the volume of a tetrahedron with its side-lengths (Cayley–Menger formula).