The volumes of simplices, or, find the penguin
- 1 October 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 47 (2), 263-268
- https://doi.org/10.1017/s1446788700031694
Abstract
Given the equations for the n + 1 hyperplanes that bound an n-simplex in Rn, simple formulae are derived for the contents of the n − r simplices (0 ≦ r < n) embedded in it. For example, when n = 3, the formulae include the volume of the tetrahedron, the areas of its faces and the lengths of its edges.Keywords
This publication has 1 reference indexed in Scilit:
- Sur quelques applications de déterminants à la Géométrie.Journal für die reine und angewandte Mathematik (Crelles Journal), 1850