Ultraparallel theorem: Difference between revisions

Revision as of 18:23, 6 January 2006

Revision as of 00:20, 7 January 2006

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be four distinct points on the [[abscissa]] of the [[Cartesian plane]]. Let <math>p</math> and <math>q</math> be semicircles above the abscissa with diameters <math>ab</math> and <math>cd</math> respectively. Then in the [[hyperbolic motion|upper half-plane model]] HP, <math>p</math> and <math>q</math> represent '''ultraparallel lines'''.

Compose the following two [[hyperbolic motionsmotion]]s:

:<math>x \to x-a\,</math>