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 December 11th, 2012, 11:59 PM #1 Newbie   Joined: Dec 2012 Posts: 1 Thanks: 0 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..?
 December 12th, 2012, 12:27 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,193 Thanks: 504 Math Focus: Calculus/ODEs 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 $$$x_1,y_1,z_1$$$ and the radius be $r$, then by the distance formula, we have: $$$x-x_1$$^2+$$y-y_1$$^2+$$z-z_1$$^2=r^2$ and we now have the locus of all points $(x,y,z)$ whose distance from $$$x_1,y_1,z_1$$$ is $r$.

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### Parametric equation of sphere

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