COLLEGE GEOMETRY¶
An Introduction to the Modern Geometry of the Triangle and the Circle (1952 / Dover 2007)
978-0-486-45805-2)Conspectus of the Digital Edition¶
Each division below is published as a synchronized 2-Track Book Codex (English | Commentary) with track-preserving navigation, marginal folio milestones, dark-mode normalized geometric figures, and interactive :person:, :cite:, and :term: apparatus cards.
Frontmatter¶
Title, Preface, Contents, To the Instructor, To the Student
English · Commentary — Folios 0001–0019 (pp. [cover]–[xx]) · 19/19 Folios Verified
Chapter I: Geometric Constructions¶
Preliminaries, Analytic Method (Analysis, Construction, Proof, Discussion), Geometric Loci, and Indirect Elements
English · Commentary — Folios 0020–0052 (pp. 1–33) · Articles §§ 1–22 · 21/33 Folios Verified
Chapter II: Similitude and Homothecy¶
Method of Similitude, Homothetic Figures, Direct and Inverse Centers of Similitude, Circle of Similitude, Pantograph
English · Commentary — Folios 0053–0071 (pp. 34–52) · Articles §§ 23–53 · 19 Archival Scans Indexed
Chapter III: Properties of the Triangle¶
Circumcircle, Medians, Tritangent Circles, Altitudes, Euler Line, Nine-Point Circle, Feuerbach’s Theorem, Orthocentric Quadrilateral
English · Commentary — Folios 0072–0142 (pp. 53–123) · Articles §§ 54–239 · 71 Archival Scans Indexed
Chapter IV: The Quadrilateral¶
Varignon Parallelogram, Bimedians, Ptolemy’s Theorem, Anticenter, Brahmagupta, Circumscriptible & Bicentric Quadrilaterals
English · Commentary — Folios 0143–0158 (pp. 124–139) · Articles §§ 240–281 · 16 Archival Scans Indexed
Chapter V: The Simson Line¶
Wallace-Simson Collinearity, Angle Properties, Orthocenter Bisection on the Nine-Point Circle
English · Commentary — Folios 0159–0169 (pp. 140–150) · Articles §§ 282–305 · 11 Archival Scans Indexed
Chapter VI: Transversals¶
Directed Segments, Stewart’s Theorem, Menelaus’ Theorem, Ceva’s Theorem, Gergonne & Nagel Points, Isotomic Conjugates, Desargues’ Theorem
English · Commentary — Folios 0170–0184 (pp. 151–165) · Articles §§ 306–344 · 15 Archival Scans Indexed
Chapter VII: Harmonic Division¶
Harmonic Conjugates, Metric Relations, Harmonic Pencils, Complete Quadrangle and Complete Quadrilateral
English · Commentary — Folios 0185–0190 (pp. 166–171) · Articles §§ 345–357 · 6 Archival Scans Indexed
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
English · Commentary — Folios 0191–0248 (pp. 172–229) · Articles §§ 358–517 · 58 Archival Scans Indexed
Chapter IX: Inversion¶
Circular Inversion, Conformal Angle Preservation, Peaucellier’s Cell, Ptolemy’s Extension, Feuerbach’s Theorem by Inversion
English · Commentary — Folios 0249–0262 (pp. 230–243) · Articles §§ 518–546 · 14 Archival Scans Indexed
Chapter X: Recent Geometry of the Triangle¶
Trilinear Polars, Symmedians & Lemoine Geometry, Apollonian Circles & Isodynamic Points, Isogonal Conjugates, Brocard Geometry, Tucker & Taylor Circles, Orthopole
English · Commentary — Folios 0263–0313 (pp. 244–[294]) · Articles §§ 547–699 · 51 Archival Scans Indexed
Historical and Bibliographical Notes¶
Books & Periodicals Key, Article-by-Article Historical Attributions (§§ 4–697), and Alphabetical List of Names
English · Commentary — Folios 0314–0328 (pp. 295–309) · 15 Archival Scans Indexed
Index¶
Alphabetical Subject Index, Terminal Blank, and Dover Back Cover
English · Commentary — Folios 0329–0334 (pp. 310–[back cover]) · 6 Archival Scans Indexed