# 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.

-------------------------------------------------------------------------------------------------------------------

? 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 .

### See Also

- Thought
**Copy of - New at Breck's Website**with 304 viewings related by tag "cfr". - Thought
**September Blackberry Breakfast**with 210 viewings related by tag "CFR". - Thought
**ZNUZ IS ZNEES - VOL 1 - 2nd edition**with 143 viewings related by tag "cfr". - Thought
**Ming & Beyond**with 140 viewings related by tag "ming". - Thought
**Duality in the Context of Projective Geometry**with 80 viewings related by tag "projective geometry". - Thought
**BARBARA CUBED - The Manual of Pure Logic**with 63 viewings related by tag "cfr". - Thought
**BOOK CHAMELEON - first edition offering**with 59 viewings related by tag "cfr". - Thought
**about: C.F. Russell - Wikipedia**with 37 viewings related by tag "cfr". - Thought
**ZNUZ IS ZNEES - VOLUME 2**with 36 viewings related by tag "cfr". - Thought
**Book Chameleon 2nd edition**with 36 viewings related by tag "cfr". - Thought
**MANUAL OF ELECTRO-COMBINATIONAL ENGINEERING**with 31 viewings related by tag "cfr". - Thought
**GRAMMAR OF CHANGES**with 30 viewings related by tag "cfr". - Thought
**TROPERMIC CALCULUS**with 27 viewings related by tag "cfr". - Thought
**ZNUZ IS ZNEES - volume III**with 24 viewings related by tag "cfr". - Thought
**I like Words - I respect words - I love words**with 23 viewings related by tag "ming". - Thought
**ZNUZ IS ZNEES - VOL 4**with 19 viewings related by tag "cfr". - Thought
**TEN MI = LANTERN RIDDLES**with 15 viewings related by tag "cfr". - Thought
**HWA CHI - BLOOMING UMBRELLA**with 14 viewings related by tag "cfr". - Thought
**hex# 34 line 6**with 13 viewings related by tag "cfr". - Thought
**CFR debating team - maybe where some of us get the genes**with 12 viewings related by tag "cfr". - Thought
**TEK MEN - OPEN DOOR**with 12 viewings related by tag "ming". - Thought
**The MING books**with 11 viewings related by tag "ming". - Thought
**MAW NI = DRAGON PEARLS**with 11 viewings related by tag "cfr". - Thought
**Rime Store**with 11 viewings related by tag "cfr". - Thought
**An Abso-Ming-Wen-Lutelly Absey-Booke**with 10 viewings related by tag "cfr". - Thought
**about: A Tower of Babel Never Tops the Sky**with 8 viewings related by tag "cfr". - Thought
**Book of Radicals (SHU PU)**with 8 viewings related by tag "cfr". - Thought
**Rough Cloth**with 8 viewings related by tag "cfr". - Thought
**COMBINATIONAL ARITHMETIC**with 7 viewings related by tag "cfr". - Thought
**Silver Cradle**with 7 viewings related by tag "cfr". - Thought
**CFR Bibliography linked to Fastblogit**with 7 viewings related by tag "cfr". - Thought
**THAO LIM = PEACH GROVE**with 6 viewings related by tag "cfr". - Thought
**The origins of Ming**with 6 viewings related by tag "ming". - Thought
**YOK KYN - JADE MIRROR**with 6 viewings related by tag "cfr". - Thought
**JUN KOONG - SPRING PALACE**with 6 viewings related by tag "cfr". - Thought
**MAR SIANG - HORSEBACK**with 6 viewings related by tag "ming". - Thought
**YIEH MEE - Wild Rice**with 5 viewings related by tag "cfr". - Thought
**SANG LO - HILL ROAD**with 5 viewings related by tag "cfr". - Thought
**ZHI GAH - GNAW THROUGH**with 5 viewings related by tag "cfr". - Thought
**SUN ZYU = GENTLE RAIN**with 4 viewings related by tag "cfr". - Thought
**CHEK SAK - Water Chestnuts**with 4 viewings related by tag "ming". - Thought
**FUNG SWI = PHENIX MARROW**with 3 viewings related by tag "cfr". - Thought
**Letters by CFR from Cefalu**with 3 viewings related by tag "cfr". - Thought
**MAO SHA - MUD HUT**with 3 viewings related by tag "cfr". - Thought
**TOONG DU - COPPER KETTLE**with 3 viewings related by tag "cfr". - Thought
**Book Chameleon Commentaries**with 2 viewings related by tag "cfr". - Thought
**Ming**with 2 viewings related by tag "ming". - Thought
**SAH KUK - MILLET VALLEY**with 2 viewings related by tag "cfr". - Thought
**My projects**with 2 viewings related by tag "cfr". - Thought
**POH HOH - PEPPERMINT**with 2 viewings related by tag "cfr".