The plane section of the surface of revolution

Abstract

In this paper a procedure for determining a plane section of the surface of revolution was described. The surface of revolution is given by an axis of the revolution and a meridian which is coplanar with the axis. The axis of revolution is parallel to the z axis of the coordinate system. The intersecting plane is given by its three points; these are the points where the plane intersects axes x, y and z. For the determination of a plane section of the surface of revolution we can use horizontal planes which intersect the surface of revolution on parallel circles and each auxiliary plane intersects the intersecting plane on the horizontal line. Two points of the intersecting space curve are given as intersecting points between the horizontal line and the circle and new points of the intersecting curve have been determined by using several auxiliary planes.

Keywords

• the surface of revolution
• the plane section
• computer geometry