# BO DZING - NORTH WELL

This book is the twelfth of 18 in the projective geometry series & was published on January 3, 1956.

This book seems to be about Harmonic & Anharmonic cross ratios used in constructing geometric projections , invariants & the rules thereof. Note: some of the subject links go to the Mathematica website which has some kewl definition of the concepts & terms.

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? Link | Subject in English |

0 | Introduction 17th book in the little book series (Ming Dicts + Projective Geo.) |

1 | Construct Anharmonic divide intersect four arbitrary straight lines |

2 | Make arbitrary anharmonic divide join four arbitrary points |

3 | Affine Solution |

4 | Cevian construct division |

5 | Eqality problem - 2 arbitrary parallel lines construct another |

6 | Duality problem |

7 | 8-point circle example |

8 | Range multiply rule |

9 | Involution equality |

10 | Projectivity problem - find other double point when one is given (redux) |

11 | Construct projective change equality |

12 | Example Parabola projectivity |

13 | Euclidean conjugate example |

14 | Perspective range projectivity proof |

15 | Projective straight line make involution |

16 | Projective power straight line involution |

17 | Degenerate power projective condition straight line involution |

18 | Improper side envelope projection situation |

19 | Two legs inside circle part finite aribrary division |

20 | Geometry plane construction project |

21 | Duality e.g. pencil condition |

22 | Involution pencil situation |

23 | Anharmonic conjugate proof of 5-point fixed conic |

24 | Project straight line with same three principal mean (Brianchonia) |

25 | Harmonic Regulus duality |

26 | Cross ratio extends conic pencil |

27 | One intersetion proof duality |

28 | Anharmonic conjugate duality example solution |

29 | Example self duality anharmonic conjugate rule |

30 | Rule: two projective ranges on different bases are both perspective with the same range on any general line not through their intersection . |

31 | Polar condition conic example |

32 | Conic cross ratio condition |

33 | Construct conic proof |

34 | Anharmonic problem |

35 | First degree example hyperbolic involution |

36 | Self Involution case (I) |

37 | Involution pencil proof maximum rule example |

38 | 4-point change situation (invariants ?) |

39 | Four part form inside outside degenerate conic situation |

40 | Porism triangle |

41 | Ming wen & characters etc. 16th addition to the dictionary |

42 | Verse from the CHUNG VOO (inmost trust) hexagram in astral script - 13,2 |

Click here for large picture of the North Well (BO DZING) Cover Design |

### Tags

- north well
- projective geometry
- bo dzing
- ming
- cfr

### Comments

*Mark de LA says*Maybe when we get awe can animate some of the concepts with Cinderella or another tool & provide links to websites that explain the projective geometric concepts to make it easier. On the other hand part of the initiatory virtue of the student exercises is obtained less by memorizing the concepts & more the mathematical thinking .

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