Kevin Wampler wrote in message <3876DA06.B2A9AC10@tapestry.tucson.az.us>...
>Mark Wagner wrote:
>
>> Given the centers and radii of two overlapping spheres, what is the
equation
>> for the circle where the two spheres intersect?  I need this for a
project
>> I'm working on.
>>
>> Mark
>
>What form do you need this equation in?
>
>If r1 and r2 are the radii of the two spheres and d is the distance between
>their centers, then the radius of the circle of their intersection should
be:
>
>sqrt(-(d+r1+r2)*(d-r1+r2)*(d+r1-r2)*(d-r1-r2))/(2*d)
>
>This circle will be centered on the line connecting the centers of the
spheres
>and will be
>
>(d+r1-r2)/2
>
>units away from the center of the first sphere and
>
>(d+r2-r1)/2
>
>units away from the center of the second sphere.  The circle will also be
>oriented so that it is orthogonal to the line connecting the centers of the
>spheres.
>
>I hope that this is helpful.


Thanks!  I should be able to work with this.

Mark

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