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pg 2: @07:31 Understanding the Triple quad formula; comparing the corresponding formulas in affine/projective geometry; notice the direction of the arrows @
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The Triple Quad Formula in Universal Hyperbolic Geometry
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- 1 CONTENT SUMMARY: pg 1: @00:11 Triple quad formula; example; suggested exercise @
- 2 pg 2: @07:31 Understanding the Triple quad formula; comparing the corresponding formulas in affine/projective geometry; notice the direction of the arrows @
- 3 pg 3: @11:39 Triple spread formula from affine RT; spread in vector notation ; spread in vector notation @
- 4 pg 4: @ Euclidean dot products; Relativistic dot products
- 5 pg 5: @19:40 Why the Triple quad formula holds; note on 4 main laws of hyperbolic trigonometry @
- 6 pg 6: @ Triple quad formula; proof
- 7 pg 7: @27:44 Triple quad formula; proof continued; a small miracle @30:40 ; remark about proof @32:25 ; encouragement to do algebra @
- 8 pg 8: @ The Triple spread function is defined; exercises 21.1,2
- 9 pg 9: @ exercises 23.3,4 ; Complimentary quadrances theorem; Equal quadrances theorem THANKS to EmptySpaceEnterprise
