Parallel bundles in planar map geometries
General Mathematics
2009-09-29 v1
Abstract
Parallel lines are very important objects in Euclid plane geometry and its behaviors can be gotten by one's intuition. But in a planar map geometry, a kind of the Smarandache geometries, the sutation is complex since it may contains elliptic or hyperbolic points. This paper concentrates on the behavior of parallel bundles, a generazation of parallel lines in plane geometry and obtains characteristics for for parallel bundles.
Keywords
Cite
@article{arxiv.math/0506386,
title = {Parallel bundles in planar map geometries},
author = {Linfan Mao},
journal= {arXiv preprint arXiv:math/0506386},
year = {2009}
}
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16pages