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The volumes of simplices, or, find the penguin
Published online by Cambridge University Press: 09 April 2009
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1989
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