CROSEC Computational Manual I (NRL APT System): Equations for Intersections Between Planes and Cylinders (Infinite and Bounded), Planes and Spheres.
Abstract
The report is the second in a series devoted to the development of a cross-sectional plotting capability for the numerical control APT (Automatically programmed tools) system in use at NRL. The report covers the development of equations in a computational form for the plotting of intersections between a plane and a cylinder, and a plane and a sphere. Initially, a local coordinate system for a cylinder is established in one of twelve possible ways. Subsequently, the intersection of the cylinder with a plane is considered in the general (infinite) case, in a bounded situation, and in the degenerate condition when the cross-sectional plane is parallel to the axis of the cylinder. The development for the sphere concludes the equation presentation and is obviously less complicated than the cylinder case because of the symmetry, but similar to the extent that a circular intersection and one degenerate case, a tangent point, can be obtained. Computer-generated plots illustrating the types of intersections developed in the report are included. These plots were made using a program that was written to implement the equations developed in this report. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 26, 1971
- Accession Number
- AD0721330
Entities
People
- Kingsley P. Thompson
Organizations
- United States Naval Research Laboratory