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