# 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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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

- water chestnuts
- projective geometry
- ming
- chek sak

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