Revision as of 07:59, 19 April 2006 edit Gene Ward Smith (talk \| contribs) Extended confirmed users 3,261 edits →Construction of ultraparallel lines in the Klein model ← Previous edit		Revision as of 08:01, 19 April 2006 edit undo Gene Ward Smith (talk \| contribs) Extended confirmed users 3,261 edits →Proof in the Poincaré half-plane model Next edit →
Line 16: :<math>a < b < c < d</math> 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~~Poincaré half-plane model]] HP, <math>p</math> and <math>q</math> represent '''ultraparallel lines'''. Compose the following two [[hyperbolic motion]]s:

Ultraparallel theorem: Difference between revisions