Pythagoras' Theorem in Universal Hyperbolic Geometry

Pythagoras' Theorem in Universal Hyperbolic Geometry

Insights into Mathematics via YouTube Direct link

pg 8: @29:03 The proof of Pythagoras' theorem continued from pg 7; "That's a proof" @

8 of 9

8 of 9

pg 8: @29:03 The proof of Pythagoras' theorem continued from pg 7; "That's a proof" @

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Pythagoras' Theorem in Universal Hyperbolic Geometry

Automatically move to the next video in the Classroom when playback concludes

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

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.