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Sphere Passing Through the Origin and a Given Point
For a sphere:
$$x^2+y^2+z^2+2gx+2fy+2hz=0$$
if it passes through $$P(x_1,y_1,z_1)$$:
$$x_1^2+y_1^2+z_1^2+2gx_1+2fy_1+2hz_1=0$$
Usage
- Used when the sphere is known to pass through the origin and another point.
