Re: caculating the center of the sphere



"sal028" <shirinlakhani@xxxxxxxxx> writes in article <1143742963.526334.259030@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> dated 30 Mar 2006 10:22:43 -0800:
I want to find the center of a sphere with radius R and the coordinates
of the point on the sphere are (x,y,z) How can I calculate the center
with this information

You need 4 points on the surface of the sphere which do not all lie in a
single plane.

The center of the sphere is equidistant from all 4 points. Choose any 2
points and there is a plane between them which is the set of equidistant
points. Any 3 of these planes intersect in a single point, which is the
center of the sphere.

--Keith Lewis klewis {at} mitre.org
The above may not (yet) represent the opinions of my employer.
.



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