MAR SIANG - HORSEBACK

The following is the translation of the ming paragraph headings in Horseback which represents a table of contents of the book by CFR. You can click on the numbers which will take you to the Ming Translator if you don't like my interpretation. Note in the book itself there are references to the Tai Shu which is a privately published set of documents where the material was originally developed & published to a limited circle of friends.
This book is the tenth of 18 in the projective geometry series  & was published on October 11, 1955.
This book is heavy on the calculation conics & the corresponding algebra & drawings on the Affine & Euclidean planes. This is the beginning of integrating many tools & concepts into one drawing.
Some of it is a mix of English & Ming with the first few paragraphs provided in both to help the student translate the mathematical & geometric metaphors (contexts) from Ming to English.
-----------------------------------------------------------------------------------------------
? Link                    Subject in English
0 Introduction & decode of book name MAR SIANG
1 Exact circle harmonic rule
1' Orthogonal circles harmonic rules (in English)
1.1 Conversely let two lambda & chi circles be orthogonal ?.
1.1' " in English
1.2 ** 
1.2' Any number of points on circle called "concyclic" ?..
1.3 Solving an equation
1.4 Further Rule
1.5 Poles and polars
2.0 Begin draw Euclidean parabola ?..elliptic involution
2.1 Orthogonal circles harmonic rules (in English)
2.2 Lines through elliptic involution (TTP) meet at right angles 
2.3 Orthocyclic, Concyclic and involution conditions
3.0 Orthogonal circles algebraic calculation
3.1 General equation of any circle 
3.2 Formula for cosine of an angle of circular intersection in terms of constants ?
4.0 Three orthogonal circles, common diameter end polar rule
4.1 Equation solved with determinants & polar form coordinates
5.0 Self conjugate triangle rules
5.1 Algebraic proof 
5.2 Conjugate points situation
5.3 Two #s on radical axis, conjugate on one circle of coaxality are conjugate ?
5.4 Proof
6.0 Examples of angle functions (trigonometry?)
7.0 Calculating conic as an equilateral hyperbola on affine plane
8.0 Inequalities & inequation
9.0 Number Principles
10.0 Multiplication involution
11.0 General properties of numbers demonstrated on calculating design
12.0 Square roots (+/-)  & inequalities 
13.0 More inequalities  & square roots 
14.0 Table of useful formulae  for use with calculations
15.0 Right angle triangle equation solution
16.0 Proof Ptolemy rule with same calculating design
17.0 New secant solves equation
18.0 Harmonic rule example - affine working with several rules on same drawing
19.0 Four tangent circle rule
20.0 Ellipse intersetion question
21.0 Area of triangle = product of 3 sides divided by 2x circumdiameter ?
22.0 Euler Rule
23.0 Harmonic tangent rule
24.0 Circle & rectangular hyperbola  construction problem
25.0 Anharmonic divide & cross ratios
26.0 Anharmonic change rule
27.0 Divide distance rule
28.0 Unified harmonic calculations
29.0 The drawing
30.0 Harmonic cross ratio make tangent 
31.0 Anharmonic Example & the tropermic algorithm + extensions 
32.0 Caution unity of heaven & earth  in the divine name is goal (i.e. Great Work!)

Click here for large picture of Horseback (MAR SIANG) cover design 


** It looks like Horseback begins a different numbering system with inter paragraph translation into English at this point . There is a primed number for the English which I will use instead of the ming translator at this point.  Also CFR seems to have left out topic headers for some of the paragraphs.


Tags

  1. horseback
  2. projective geometry
  3. ming
  4. mar siang

See Also

  1. Thought ZNUZ IS ZNEES - VOL 1 - 2nd edition with 225 viewings related by tag "projective geometry".
  2. Thought Ming & Beyond with 147 viewings related by tag "ming".
  3. Thought Duality in the Context of Projective Geometry with 80 viewings related by tag "projective geometry".
  4. Thought ZNUZ IS ZNEES - VOLUME 2 with 56 viewings related by tag "projective geometry".
  5. Thought Book Chameleon 2nd edition with 48 viewings related by tag "ming".
  6. Thought ZNUZ IS ZNEES - volume III with 35 viewings related by tag "projective geometry".
  7. Thought ZNUZ IS ZNEES - VOL 4 with 33 viewings related by tag "projective geometry".
  8. Thought I like Words - I respect words - I love words with 27 viewings related by tag "ming".
  9. Thought The MING books with 20 viewings related by tag "ming".
  10. Thought TEN MI = LANTERN RIDDLES with 18 viewings related by tag "ming".
  11. Thought MAW NI = DRAGON PEARLS with 17 viewings related by tag "ming".
  12. Thought An Abso-Ming-Wen-Lutelly Absey-Booke with 16 viewings related by tag "ming".
  13. Thought TEK MEN - OPEN DOOR with 16 viewings related by tag "ming".
  14. Thought HWA CHI - BLOOMING UMBRELLA with 15 viewings related by tag "ming".
  15. Thought Rime Store with 13 viewings related by tag "ming".
  16. Thought SUN ZYU = GENTLE RAIN with 12 viewings related by tag "ming".
  17. Thought Rough Cloth with 10 viewings related by tag "ming".
  18. Thought FUNG SWI = PHENIX MARROW with 9 viewings related by tag "ming".
  19. Thought Silver Cradle with 9 viewings related by tag "ming".
  20. Thought THAO LIM = PEACH GROVE with 8 viewings related by tag "ming".
  21. Thought YOK KYN - JADE MIRROR with 8 viewings related by tag "projective geometry".
  22. Thought JUN KOONG - SPRING PALACE with 8 viewings related by tag "ming".
  23. Thought YIEH MEE - Wild Rice with 7 viewings related by tag "projective geometry".
  24. Thought The origins of Ming with 6 viewings related by tag "ming".
  25. Thought SANG LO - HILL ROAD with 6 viewings related by tag "projective geometry".
  26. Thought ZHI GAH - GNAW THROUGH with 6 viewings related by tag "ming".
  27. Thought MAO SHA - MUD HUT with 6 viewings related by tag "ming".
  28. Thought BO DZING - NORTH WELL with 6 viewings related by tag "ming".
  29. Thought POH HOH - PEPPERMINT with 6 viewings related by tag "ming".
  30. Thought CHEK SAK - Water Chestnuts with 5 viewings related by tag "ming".
  31. Thought TOONG DU - COPPER KETTLE with 5 viewings related by tag "ming".
  32. Thought Ming & Chinese Etymology with 4 viewings related by tag "ming".
  33. Thought Ming Translator - Old Version with 4 viewings related by tag "ming".
  34. Thought SAH KUK - MILLET VALLEY with 4 viewings related by tag "ming".
  35. Thought ming for ho with 2 viewings related by tag "ming".
  36. Thought Ming with 2 viewings related by tag "ming".
  37. Thought My projects with 2 viewings related by tag "projective geometry".
  38. Thought MAW NI - Dragon Pearls with 1 viewings related by tag "ming".
  39. Thought Book Chameleon Concordance with 1 viewings related by tag "ming".
  40. Thought Ming with 1 viewings related by tag "ming".
  41. Thought Interactive Projective Geometry with 1 viewings related by tag "projective geometry".
  42. Thought ming vs beads vs tarot with 0 viewings related by tag "ming".
  43. Thought Cinderella 2 beta is out with 0 viewings related by tag "projective geometry".
  44. Thought Ming Database with 0 viewings related by tag "ming".
  45. Thought Analogy with 0 viewings related by tag "projective geometry".
  46. Thought Did you get theButtons in Yer Email? with 0 viewings related by tag "ming".
  47. Thought ming - captured from a search on the web. with 0 viewings related by tag "ming".
  48. Thought Agreement with 0 viewings related by tag "projective geometry".
  49. Thought Announcing: we can talk ming (wiki reference) with 0 viewings related by tag "ming".
  50. Thought Item to peak some interest in Projective Geometry with 0 viewings related by tag "projective geometry".