CHEK SAK - Water Chestnuts

The following is the translation of the ming paragraph headings in Water Chestnuts 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 seventh of 18 in the projective geometry series  & was published on June 11, 1955.
This book covers reciprocals, angles, bisection, ratios, vectors, and arithmetic ,including square root, by projective geometry.


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? Link                       Subject in English
0 Introduction and decode of book's name
1 Reciprocals 
2 Angle conic case corresponding tangent
3 Diameter triangle one point condition
4 Construct conic extends two diameter is mates measure
5 Trasform equal walk linear center path conic - involution center 
6 Circle Example
7 Construct bisection
8 Bisect form 
9 Fixed case
10 Ratio
11 Three point join rule 
12 straight line condition
13 9-point circle 
14 Vector calculate duality
15 Affine duality vector calculate
16 Another affine duality
17 Another affine vector calculate example
18 Vector conic equalty
19 Three vector add path
20 Divide angle & side into three equal parts
21 Mass coordinates Barycentric with same straight line corresponding duality
22 Problem picture circle
23 Divide triagle 
24 Phoenix inside triangle
25 Phoenix with triangle side make 2 equal parts
26 Multiplication
27 Degenerate (reducible) form
28 Outside triangle construct 2 equal parts
29 Equal walk extends side divide triangle makes equal part
30 New resolve construction using circle crossing straight line rule
31 Free ratio extends legs inside circle 
32 Triangle coordinates
33 Add calculation example
34 Multiply example
35 Divide square root
36 Equal walk condition

Click here to view a large picture of the Water Chestnuts cover



Tags

  1. water chestnuts
  2. projective geometry
  3. ming
  4. chek sak

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