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From: colonel@gloria.UUCP
Newsgroups: net.math
Subject: Re: no more volume of a tetrahedron
Message-ID: <811@gloria.UUCP>
Date: Sat, 8-Jun-85 14:06:21 EDT
Article-I.D.: gloria.811
Posted: Sat Jun  8 14:06:21 1985
Date-Received: Tue, 11-Jun-85 03:54:57 EDT
References: <758@gloria.UUCP> <5847@ucla-cs.ARPA>
Distribution: net
Organization: SUNY-Buffalo Computer Sci.
Lines: 17

["Mathematicians are a kind of Frenchmen ... "]

>                         For this particular problem, all you
> need to find is M, which transforms the standard tetrahedron to
> whatever tetrahedron you want.  For the tetrahedron P,Q,R,S:
> 
>          1  |   [P-S 0]|    1  |   [P 1]|
>     V = --- |det[Q-S 0]| = --- |det[Q 1]|
>          6  |   [R-S 0]|    6  |   [R 1]|
>             |   [ S  1]|       |   [S 1]|

I asked for the volume in terms of the lengths of the edges, not the
positions of the vertices!  Anyway, it's been answered, so please, no
more.
-- 
Col. G. L. Sicherman
...{rocksvax|decvax}!sunybcs!colonel