Point on a Sphere

Rarely Tested

Point on a Sphere

A point $$P(x_1,y_1,z_1)$$ lies on:

$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$

if:

$$x_1^2+y_1^2+z_1^2+2gx_1+2fy_1+2hz_1+c=0$$

Usage

- Used to verify whether a given point lies on a sphere.

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