Accession Number:

ADP012022

Title:

Rational Ruled Surfaces Passing Through Two Fixed Lines

Descriptive Note:

Conference paper

Corporate Author:

SHUMEN UNIV (BULGARIA) FACULTY OF MATHEMATICS AND INFORMATICS

Personal Author(s):

Report Date:

2000-01-01

Pagination or Media Count:

8.0

Abstract:

For any positive integer n, a rational ruled surface of degree n 1 is constructed which passes through two arbitrary skew lines in the three-dimensional Euclidean space. In the cases of two parallel or intersecting lines, a rational ruled surface of degree 2n 1 is constructed which contains the lines. Any surface is a preimage of a plane under a birational space transformation. This interpretation gives implicit equations and parametric representations of the considered surfaces.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE