BO DZING - NORTH WELL

The following is the translation of the ming paragraph headings in North Well 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 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

Comments

Mark de LA says
Maybe when we get a

we 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 .

BO DZING - NORTH WELL

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