DTIC_ADP012022
Defense Technical Information Center
2000-01-01
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.
english
texts
DTIC Archive; Gueorguiev, Gueorgui H.; SHUMEN UNIV (BULGARIA) FACULTY OF MATHEMATICS AND INFORMATICS; *LINES(GEOMETRY); *PLANE GEOMETRY; *ANALYTIC GEOMETRY; SURFACES; THREE DIMENSIONAL; TRANSFORMATIONS(MATHEMATICS); BULGARIA.;
DTIC ADP012022: Rational Ruled Surfaces Passing Through Two Fixed Lines
2000
dticarchive
2015-10-31 10:08:24
slaxemulator@gmail.com
2015-10-31 10:08:24
http://archive.org/details/DTIC_ADP012022
ark:/13960/t0ms7fc46
9
300
ABBYY FineReader 11.0
4
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