Content of the frustum of a simplex

Mir Maswood Ali

Vol. 48 (1973), No. 2, 313–322

DOI: 10.2140/pjm.1973.48.313

Abstract

In the Euclidean space of n dimensions, Rⁿ, the (n − 1)-dimensional content of the portion of an (n − 1)-dimensional simplex contained in a semispace is evaluated. Also, in Rⁿ, the content of the portion of an n-dimensional simplex contained in a semispace is evaluated.

Mathematical Subject Classification 2000

Primary: 52A20

Secondary: 62G30

Milestones

Received: 29 March 1972

Revised: 22 March 1973

Published: 1 October 1973