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pg 7: @ proof of Napier's rules;
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Thales' Theorem, Right Triangles + Napier's Rules - Universal Hyperbolic Geometry
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- 1 CONTENT SUMMARY: pg 1: @00:11 Review of the 4 main laws of trigonometry; pg 2: @ right triangles described; singly right, doubly right, triply right
- 2 pg 3: @06:16 Thales theorem; A kind of 'similarity' for right triangles @ ; In
- 3 classical hyperbolic geometry this result is obscured @
- 4 pg 4: @12:36 Thales theorem relationship to Euclidean RT; the spread as a crucial ratio @
- 5 pg 5: @17:41 Quadrea as the single most important number associated to a triangle; reminder on how to obtain an altitude @18:41 ; Quadrea are @
- 6 pg 6: @22:42 Napier's rules; suggested exercise @
- 7 pg 7: @ proof of Napier's rules;
- 8 pg 8: @30:02 proof continued; suggested algebra exercise @
- 9 pg 9: @36:49 When in doubt create some right triangles; exercise 29.1 @;
- 10 pg 10: @ exercise 29.2
- 11 pg 11: @ exercise 29.3,4
