Parallel bundles in planar map geometries

Details Parallel bundles in planar map geometries Parallel bundles in planar map geometries

2005-06-20

arxiv.org/abs/math/0506386v1

Mathematics

General Mathematics

16pages

Scientific paper

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.

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