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Sphere formula

• To: mathgroup at smc.vnet.net
• Subject: [mg109432] Sphere formula
• From: "S. B. Gray" <stevebg at ROADRUNNER.COM>
• Date: Tue, 27 Apr 2010 04:05:16 -0400 (EDT)
• Reply-to: stevebg at ROADRUNNER.COM

1. The center of a sphere through 4 points has a very nice determinant 
form. (http://mathworld.wolfram.com/Sphere.html) What I want is a nice 
formula for the center of a sphere through 3 points, where the center is 
in the plane of the three points. I have a formula but it's a horrible 
mess of hundreds of lines, even after FullSimplify.

2. (Unlikely) Is there a way to get Mathematica to put a long formula into a 
matrix/determinant form if there is a nice one?

Any tips will be appreciated.

Steve Gray