Sphere Through Four Points

Sphere Through Four Points

A general sphere can be written as:

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

For four given non-coplanar points, substituting their coordinates gives four equations that determine $$g,f,h,c$$.

Usage

- Used to obtain the equation of the unique sphere through four non-coplanar points.