SANG LO - HILL ROAD

The following is the translation of the ming paragraph headings in Hill Road 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 fifth of 18 in the projective geometry series  & was published on April 16, 1955.

Subject seems to be Nth degree curves & powers formulae


-----------------------------------------------------------------------------------------------
Paragraph Link                   Subject in English
0 Introduction - & derivation of book name
1 Arithmetic design proof
2 Problem - make conic with same 3 point tangent & 2 straight lines
3 Third degree curve Arithmetic work example
4 Power point rule
5 Mean Rule
6 Maximum minimum multiply example
7 Hyperbola Example
8 Four condition tangent envelop center path
9 Conic pencil fixed mates point case
10 Envelop conic finite double contact point
11 Affine center path example
12 Two perspective work design
13 Reducible work design self-duality rule
14 Duality work design
15 ADD involution case
16 Six side form with same third degree curvve fixed point rule
17 Project curve pencil makes nth degree curve
18 One degree & Second degree pencil correspond with same 3rd degree curve
19 Conic with same 3rd degree curve ?..
20 Irreducible complement  join example
21 Gergonne Formula with same 4th degree curve
22 Polygram form with same 4th degree curve example
23 Double Fregier point case
24 2nd degree first degree pencil project make 3rd degree path
25 Another example project - make 3rd degree curve
26 Reducible project make circle example
27 Magick - see book Kin Szu XXIV,10
28 Isoptic - design upper affine page example named isoptic
29 13th degree isoptic with same circle
30 Eight more ming words , strokes & verses
31 Arithmetic work design project method
32 Arithmetic design function rule
33 Function envelop contact point rule - another example
34 Rule function ellipse envelop
35 Cautious ?

Click here for picture of front cover of Hill Road

Tags

  1. hill road
  2. projective geometry
  3. high order curves
  4. sang lo
  5. cfr

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