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picture1_Geometry Pdf 168101 | Handout6


picture2_Geometry Pdf 168101 | Handout6 picture3_Geometry Pdf 168101 | Handout6

 83x       Filetype PDF       File size 0.05 MB       Source: www.math.brown.edu


File: Geometry Pdf 168101 | Handout6
Basics of Hyperbolic Geometry Rich Schwartz October 8, 2007 Thepurpose of this handout is to explain some of the basics of hyperbolic geometry. I’ll talk entirely about the hyperbolic ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 1 year ago
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...Basics of hyperbolic geometry rich schwartz october thepurpose this handout is to explain some the i ll talk entirely about plane model let c denote complex numbers as a set consists x iy with y denoted by h another name for number form in other words just real line geodesics are either circles that meet at right angles vertical rays count see figure b d and points exercise prove any two distinct point determine unique geodesic contains these be p not on there innitely many through do contain failure parallel postulete angle between intersection de ned usual curves it tangent lines segment circular arc contained three naturally triangle you can connect each segments sum interior triangles less than degrees distance formula given we nd such endpoints joining if same then dene log lie one or case assuming have only how equation limiting put way continuous function locations symmetries amobius transformation map f az ad bc cz talked maps general when here want take r will call mobius tran...
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