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From: colonel@gloria.UUCP (Col. G. L. Sicherman)
Newsgroups: net.math
Subject: volume of a tetrahedron
Message-ID: <771@gloria.UUCP>
Date: Fri, 24-May-85 11:04:13 EDT
Article-I.D.: gloria.771
Posted: Fri May 24 11:04:13 1985
Date-Received: Mon, 27-May-85 06:11:07 EDT
Distribution: net
Organization: North American Veeblefetzer, Inc.
Lines: 16

To save time, here's the old (ugly) formula:

            2        2  2  2  2  2        2  2  2  2  2        2  2  2  2  2
       432 V = 3[(Aa) (B +b +C +c ) + (Bb) (A +a +C +c ) + (Cc) (A +a +B +b )]

                         2       2       2       2
		- 6[(ABC) + (Abc) + (aBc) + (abC) ]

                       2  2  2        2  2  2        2  2  2
		- [(Aa) (A +a ) + (Bb) (B +b ) + (Cc) (C +c )]

          __      __      __      __      __      __
where A = OA, B = OB, C = OC, a = BC, b = AC, c = AB.
-- 
Col. G. L. Sicherman
...{rocksvax|decvax}!sunybcs!colonel