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December 11th, 2012, 11:59 PM   #1
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sphere equation formulation

Hi to all;
I want to ask that does any one know how to make sphere equation
(x-x1)^2 + (y-y1)^2 + (z-z1)^2 = R^2;

or from where it comes..?
If you know answer then tell me, or if you know any link then please suggest me..?
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December 12th, 2012, 12:27 AM   #2
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Re: sphere equation formulation

It comes from the distance formula in 3 dimensions. The surface of a sphere is the locus of all points equidistant from come central point (the center).

If we let the center be and the radius be , then by the distance formula, we have:



and we now have the locus of all points whose distance from is .
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