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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CAT Formulas
Three Dimensional Geometry
Point on a Sphere
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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