Different definitions of conic sections in hyperbolic geometry
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🧮 math.MG
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definitionsconicequivalentgeometryhyperbolicsectionsanaloguesclassical
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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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