YOK KYN - JADE MIRROR


The following is the translation of the ming paragraph headings in Jade Mirror 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 fourth in the projective geometry series of 18 & was published on March 22, 1955.
This book seems to develop calculating with projective geometry.

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Paragraph Link                           Subject in English
0 Introduction
1 Problem - draw circle with same point tangent to 2 circles
2 New Circle Tangent Rule
3 Harmonic Mean
4 Polar case  conic problem
5 Polar solution
6 Root Circle
7 Algebraic proof equal walk straight line
8 Calculate half an angle with Algebra
9 Circular curvature case (see Dragon Pearls)
10 Hyperbola curvature circle case
11 The Evolute
12 Reciprocal polar case
13 Reciprocal polar conic is Parabola example
14 Parabola Rule continued
15 Make reciprocal conic be an Ellipse
16 Reciprocal polar case make affine rectangular straight line
17 Tangent Rule named after Colin Maclaurin (1698-1746) some Latin may be needed
18 Another bent circle make conic extension
19 Self-polar triangle polar - another rule with same design underneath it
20 Involution Rule
21 Circle Family
22 Harmonic Range
23 Another element extends upper circle family (see lesson 2 Wild Rice)
24 Invert circle center rule
25 Design with 2 parallel lines with same sircle proof  (invert point extends circle)
26 Antiparallel rule 
27 Divide an angle in half rule
28 Polar reciprocal triangle perspective
29 Two projects polar pencil make conic
30 Self-conjugate triangle
31 Use Seydewitz rule to make conic & conic focus
32 Polar conjugate normal makes conic focus
33 Newton's Rule
34 Polar reciprocal rule proof of Desaruge's rule extends two perspective triangle
35 Carnot's Rule
36 Anharmonic ratio
37 Complement rule
38 Problem - tangent direction with same circle 
39 Make nother curvature circle 
40 3rd degree multiply, divvide, power square root work
41 Add & subtract example with same 3rd degree curve 
42 Correspondences
43 Conjugate correspondences
44 Mean example

Click here to see cover of Jade Mirror Book


Tags

  1. projective geometry
  2. jade mirror
  3. calculation
  4. contents
  5. yok kyn
  6. cfr

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