TOONG DU - COPPER KETTLE


The following is the translation of the ming paragraph headings in Copper Kettle 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 14th of 18 in the projective geometry series  & was published on March 20, 1956.
This book seems to be about a collection of topics in projective geometry including involutions, double points, periodicity, conjugates, inversions & special curves such as the limacon, lemniscate, & cissoids .

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? Link                                           Subject in English
0 Introduction & decode of the ming title of this book TOONG DU 
1 Two conics intersection solution - use transform equality (see Millet Valley ? 40)
2 3 Conics 4 point  line umbrella construct involution
3 New Question
4 Problem solve involution
5 Newton't Rule
6 Perspective axis involution  (collineation and Brianchonia mentioned)
7 Example of 3 conics extends pencil finite cocenters
8 Polar pole projection
9 Unified double points 
10 Projection double point makes involution mates
11 Similar range solves part ratio problem
12 Affine example
13 Similarity range rule
14 Period Three
15 Period Four join rule
16 Period Three Rule
17 Period Six
18 Harmonic calculation
19 Conjugate lines
20 Another Harmonic Rule
21 Another Conjugate straight line
22 Triangle inside conic problem
23 Determinant calculation involution
24 Rule 4 point involution situation
25 Harmonic problem
26 Fixed or constant crossing 
27 Conjugate straight line example
28 Calculate projective conic corresponding ratio
29 Algebra inversion rule
30 Inversion Rule
31 Construct tangent contact point inversion circle
32 Inversion Rule algebra calculation
33 Example parabola inversion cissoid
34 Ellipse inversion limacon
35 Rule Inversion Rule
36 Imaginary circle inversion
37 Foot (line terminus) condition calculation
38 Inversion coressponding ellipse
39 Inversion divine ratio
40 Lemniscate
41 The Center 
42 Affine Lemniscate Example
43 Asymptote Rule

Click here for a large jpg of the Cover design for Copper Kettle (TOONG DU)


Tags

  1. copper kettle
  2. toong du
  3. projective geometry
  4. ming
  5. cfr

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