Definition If A, B, C and D are points of D0 with no three on an h-line, then the h-quadrilateral ABCD consists of the h-segments AB, BC, CD and DA.
The CabriJava window on the right allows you to experiment. The three types are illustrated below.
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The first type is called convex.
It is characterized by the fact that the h-segments AC and BD (the diagonals) intersect. Note that hyperbolic transformations preserve incidence, so that convex h-quadrilaterals map to convex h-quadrilaterals.
For a convex h-quadrilateral, either diagonal divides the
The h-quadrilateral Theorem |
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