SAH KUK - MILLET VALLEY

This book is the 13th of 18 in the projective geometry series & was published on February 14, 1956.
This book seems to cover a lot of collineation, projectivity hyperbolic & elliptic, perspective involutions & is the substance of what I imagine geometricians would cream their jeans for! Some of the tools so far are used all together.
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? Link | Subject in English |
0 | Introduction & decode of the name of this book SAH KUK (Millet Valley) |
1 | Porism (Proposition) : Triangle Self Duality |
2 | Outside inside polygon form |
3 | 4 points & lines situation |
4 | Involution situation |
5 | Conic inside triangle - side with same 3 points |
6 | Way to make equal angle |
7 | Design similar triangle inside a circle |
8 | Make Collineation projection - elation & homology |
9 | General homology construct hyperbolic projectivity etc. Euclidean |
10 | Elliptic projectivity example |
11 | collineation corresponding Hyperbolic projectivity conic |
12 | Another example conparing anharmonic conjugates |
13 | Involution example extends hyperbolic |
14 | Same degree duality |
15 | Coordinates collineation duality |
16 | Coordinates collineation duality begin proper conic |
17 | Harmonic collineation self uses proper conic |
18 | Same degree improper conic involution axis |
19 | Self coordinates collineation construct elliptical projectivity using proper conic involution axis |
20 | Perspective collineation functional correspondence |
21 | Harmonic perspective collineation |
22 | Another Harmonic design example with arbitrary finite perspective center |
23 | Projective collineation functional correspondences |
24 | Collineation example |
25 | Collineation with fixed conic |
26 | Maximum degree curve situation make conic (Pascalia and Gergonne) |
27 | Third degree curve rule |
28 | Use conic intersection to make tangent rule (some cf Hessian #s) |
29 | Parametric collineation (+ new ming wen) |
30 | Curvature collineation |
31 | Conic focus directrix collineation |
32 | Effective involution |
33 | Cyclic Collineation |
34 | Harmonic mates conic example (some cf Pascalia) |
35 | Stretch example |
36 | Projective involution compare to classic design |
37 | Proper conic - make double point coprojective involution condition straight line |
38 | Imaginary double point |
39 | Another drawing |
40 | Make tangent using transormational equation |
Click here for large picture of SAH KUK (Millet Valley) cover design |
Tags
- millet valley
- sah kuk
- projective geometry
- ming
- cfr
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