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bbangerter

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Tangent line to a sphere

I have a arbitrary point on a sphere.  The sphere has an arbitrary radius.

I want to find a tanget line to the point on the sphere, or perhaps more correctly put, I want to find the tangent plane and from the tanget plane obtain any arbitrary line within the plane that touches the point on the sphere.
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ozo
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bbangerter

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Thanks ozo and thanks PointyEars for giving me that connection between ozos formula and the standard plane equation.