Ultraparallel theorem: Difference between revisions

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Why speak about specific models? Right angles can be recognized in every model, or synthetically without any model
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In [[hyperbolic geometry]], two lines may intersect, be '''ultraparallel''', or be [[limiting parallel]].
 
In conformal models of the [[hyperbolic plane]], such as the Poincaré models, [[right angle]]s may be recognized between intersecting lines. In such models, theThe '''ultraparallel theorem''' states that every pair of (distinct) ultraparallel lines has a unique common [[perpendicular]] (a hyperbolic line which is perpendicular to both lines).
 
==Hilbert's construction==