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
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
- hill road
- projective geometry
- high order curves
- sang lo
- cfr
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