topics in hyperbolic geometry math410 csusm spring 2008 professor aitken 1 introduction wedened hyperbolic geometry in the last handout and considered a list of hyperbolic conditions each of which is ...
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...Topics in hyperbolic geometry math csusm spring professor aitken introduction wedened the last handout and considered a list of conditions each which is theorem this we explore further two types parallels there are parallel lines those who diverge from other both directions type that one direction but come arbitrarily close to rst have minimum positive distance at points on common perpendicular second no tends zero here formal denition if l m such exists line t then say with wewill state some results about however will only prove statements short proofs rest take faith let be previous established has three distinct equal rectangles exist since do not cannot it possible for proposition suppose p equidistant corollary any dierent distances proof just contrapositive so need drop q its foot observe pqqp sacchari quadrilateral showed midpoint pp n qq mn thus date version may perpen dicular unique otherwise could construct rectangle lare chosen pq b ap pb by sas paq pbq particular aq bq aqp ...