← byrne / THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID

THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID¶

In Which Coloured Diagrams and Symbols Are Used Instead of Letters for the Greater Ease of Learners — Oliver Byrne (1847)

Editio Princeps (London, 1847): Published by William Pickering, printed by Charles Whittingham at the Chiswick Press, 1847 (Internet Archive firstsixbooksofe00eucl).
Euclidean Base Text: Robert Simson's 1756 Glasgow Edition (35 Definitions, 3 Postulates, 12 Axioms).
Digital Critical Codex: Synchronized 3-track edition (Byrne 1847 Edition · Summary · Notes) with interactive inline SVG color tokens and exact geometor.model plates.

“Segnius irritant animos demissa per aurem, Quam quæ sunt oculis subjecta fidelibus, et quæ Ipse sibi tradit spectator.”

“What finds entrance through the ear strikes the mind less vividly than what is brought before the trusty eyes of the spectator himself.”

—Horace, Ars Poetica 180–182 (quoted by Oliver Byrne, Introduction, p. viii)

Conspectus Totius Operis¶

Unit I: Introduction, Definitions, Postulates, Axioms & Symbols (Pickering pp. vii–xxix): Byrne (1847) · Summary · Notes
Unit II: Book I — Congruence, Parallels & The Pythagorean Theorem (Props. I.1, I.4, I.5, I.15, I.32, I.46, I.47 · pp. 1–50): Byrne (1847) · Summary · Notes
Unit III: Book II — Geometric Algebra & The Golden Section by Colored Areas (Props. II.4, II.5, II.11 · pp. 51–71): Byrne (1847) · Summary · Notes
Unit IV: Books III & IV — Circles, Tangents & Inscribed Regular Polygons (Props. III.20, III.31, III.36, IV.4, IV.10, IV.11 · pp. 73–151): Byrne (1847) · Summary · Notes
Unit V: Book V — Color-Coded Symbolic Algebra of Eudoxian Proportions (Defs. 1–20 & Props. V.1–V.25 · pp. 153–212): Byrne (1847) · Summary · Notes
Unit VI: Book VI — Similar Figures, Mean Proportionals & Extreme and Mean Ratio (Props. VI.3, VI.13, VI.30, VI.31 · pp. 213–268): Byrne (1847) · Summary · Notes
Unit VII: Pointer-Free Visual Pseudocode — 3-Way Rosetta Analysis (Heath · Byrne 1847 · GEOMETOR): Byrne (1847) · Summary · Notes

Apparatus Criticus & Cross-Repository Indices¶

Byrne–Simson–Heath–G-Index Master Concordance — Exact cross-mapping across geometor/byrne, geometor/euclid, geometor/elements, and geometor/codes.
Systematic Bibliography — Primary editions, Chiswick Press typographic scholarship, Edward Tufte, and Nicholas Rougeux (2018).
Prosopographical Index of Persons — Geometers, master printers, pedagogues, and information designers.
Visual & Euclidean Glossary — Technical vocabulary of pointer-free notation, Proclean proof structure, and Greek geometry.