Locus of Points Equidistant from Two Intersecting Planes
The locus is the pair of angle-bisector planes:
$$\frac{P_1}{\sqrt{A_1^2+B_1^2+C_1^2}}=\pm\frac{P_2}{\sqrt{A_2^2+B_2^2+C_2^2}}$$
Usage
- Used to find all points having equal perpendicular distances from two planes.