Pythagoras' Theorem in Universal Hyperbolic Geometry

This course develops the hyperbolic version of Pythagoras’ theorem using quadrance, planar coordinates, examples, exercises, and a proof. It reviews point and line incidence and the measurement of quadrance in Universal Hyperbolic Geometry.

Syllabus

CONTENT SUMMARY: pg 1: @ Pythagoras' theorem in UHG; points, point/line incidence, quadrance/cross ratio
pg 2: @ projecting 3-dim onto 'viewing plane'
pg 3: @11:03 quadrance in planar coordinates; GSP illustrations of different quadrances in the plane @
pg 4: @ quadrance planar formula; note - null point restriction; zero denominator convention; example
pg 5: @17:22 Pythagoras' theorem hyperbolic version; the importance of the theorem @ ; example
pg 6: @ exercises 22.1,2
pg 7: @24:22 The proof of Pythagoras' theorem; a small miracle @27:04 ; suggested exercise @
pg 8: @29:03 The proof of Pythagoras' theorem continued from pg 7; "That's a proof" @
pg 9: @ exercises 22-3:5 THANKS to EmptySpaceEnterprise