Chapter VIII: Circles

Inverse Points, Orthogonal Circles, Poles and Polars, Centers of Similitude, Power of a Point, Radical Axis, Coaxal Circles, Casey’s Theorem, Problem of Apollonius

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• Archival Span: Folios 0191–0248 · Printed Pages 172–229 · Articles §§ 358–517

• 300 DPI Raster Scans: 58 standardized folios ready in resources/college_geometry/08_circles/

• Companion Track: Switch to the Commentary tab above for mathematical synthesis, triangle-center mappings, and GEOMETOR connections.

Section & Article Conspectus

Section	Title	Folios	Pages	Articles
A	Inverse Points	0191–0193	172–174	§§ 358–362
B	Orthogonal Circles	0193–0196	174–177	§§ 363–372
C	Poles and Polars	0196–0203	177–184	§§ 373–393
D	Centers of Similitude (incl. Monge’s Circle Theorem § 405)	0203–0209	184–190	§§ 394–409
E	Power of a Point with Respect to a Circle	0209–0213	190–194	§§ 410–420
F	Radical Axis of Two Circles	0213–0220	194–201	§§ 421–439
G	Coaxal Circles (incl. Poncelet’s Theorems & Casey’s Theorem § 471)	0220–0236	201–217	§§ 440–490
H	Three Circles (Radical Center & Circles of Antisimilitude)	0236–0241	217–222	§§ 491–505
I	The Problem of Apollonius (Ten Problems I–X & Gergonne’s Solution)	0241–0248	222–229	§§ 506–517

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