JUN KOONG - SPRING PALACE

The following is the translation of the ming paragraph headings in Spring Palace 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 sixth of 18 in the projective geometry series & was published on May 14, 1955.
Note the term Pascalia (CFR uses this term for Pascal Lines designs ) has a nice link at Wolfram - the purveyor of Mathmatica. They also have decent definitions of some of the other projective geometry & mathmatical terms . This book covers topics like projectivity, involution, secants, harmonic ratio, conjugates, duality, perspective, & vectors.

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Paragraph Link	Subject in English
0	Introduction & derivation of book name - exponents ?
1	Double contact point conic family with same involution axis
2	Construct tangent use conic pencil
3	Two united secants cross contact point - divide harmonic separate family conic
4	Double contact point family tangent harmonic method
5	Secant mean hyperbola asymptote equality
6	Three double contact point conic
7	Divide harmonic secant rule
8	Self conjugate triangle resolve circle tangent with same conic center rule
9	Compare proper-improper double contact point angle pencil tangent rule
10	Contact point problem (tangent duality)
11	Conjugate example solve tangent problem with same arithmetic design affine p9
12	Conic with same three points
13	Invert point make angle unit circle join diameter limit the bisect angle
14	Design of corresponding double contact point conic path (pg 12)
15	Corresponding circle path
16	Unit circle rectangular resolves harmonic condition
17	Another harmonic example
18	Another double contact point example
19	Circle secant perspective center ?. Self duality harmonic rule
20	Harmonic mates point unit conic join construct mates straight line
21	Arithmetic design inverts rule
22	Invert Angle
23	Circle 4-point invert condition
24	Another invert rule (& on next page harmonic path)
25	Harmonic envelope
26	Conic Directrix
27	Proper harmonic path self conjugate triangle
28	Degenerate harmonic envelope extends two affine circle
29	Apollonius Hyperbola reaches point
30	Parabola Rule
31	Two perspective triangle
32	Construct double contact point envelope
33	Ellipse , Hyperbola case 3D correspendences
34	Two project 4 points
35	Projective Example
36	Perspective Example
37	Coefficient divide
38	Vector exact crossing rule
39	Resolve circle 9 point circle extends the exact crossing family
40	Unity
41	Join equal walk parabola involution axis case
42	Conic self-conjugate triangle 4-point case
	Click here to see large version of book cover

JUN KOONG - SPRING PALACE

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