The term cutting plane has several meanings in mathematics .
The cutting plane as a result
- To calculate the circle of intersection of two balls , the cutting plane in which the circle of intersection lies is determined in order to then intersect with the straight line connecting the ball centers in order to determine the center of the circle of intersection.
- Alternatively, this formula can also be used to determine the center point of the intersection circle from the radii and the distance between the center points of the given spheres without having to set up a cutting plane or connecting line.
= Center of the first sphere
= Center of the second sphere
= Distance between and
The center of the cutting circle is also a point on the cutting plane and the vector between the two centers also represents the normal vector of the cutting plane, so that the cutting plane can be set up from it.