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Different definitions of conic sections in hyperbolic geometry

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1603.09285
Source
arXiv
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Abstract

In classical Euclidean geometry, there are several equivalent definitions of conic sections. We show that in the hyperbolic plane, the analogues of these same definitions still make sense, but are no longer equivalent, and we discuss the relationships among them.

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