Hero of Alexandria — Metrica, Definitiones, Catoptrica & Dioptra

Four-Track Bilingual Scholarly Codex (English · Teubner/Hultsch Greek · Summary · GEOMETOR Notes)

Welcome to the GEOMETOR Digital Scriptorium edition of Hero of Alexandria (fl. c. 60 CE). Every chapter in this codex presents four synchronized companion tracks selectable from the reader bar above:

1. English — Original GEOMETOR scholarly translation from the critical Greek editions of Hermann Schöne (1903), Wilhelm Schmidt (1900), and Friedrich Hultsch (1864), paired with interactive .euclid-graphic SVG figures.

2. Greek (Teubner) — Polytonic Greek source text transcribed via 300 DPI multimodal scan vision with .. folio:: pagination milestones.

3. Summary — Proposition-by-proposition structural, geometric, and algorithmic synopses.

4. Notes — GEOMETOR mathematical, philosophical, and Rational Trigonometry commentary cross-linked to Symbolic Constructions & Demos and sister repositories.

Codex Table of Contents

• Unit I — Metrica Book I (Preface & Props. 1–9): Triangles, Heron’s Formula & √720 (Schöne 1903, pp. 2–26)

• Unit II — Metrica Book I (Props. 10–39): Quadrilaterals, Regular Polygons, Circles & Conics (Schöne 1903, pp. 26–90)

• Unit III — Metrica Book II (Preface & Props. 1–20): Stereometry, Dionysodorus’s Torus, the Method & Platonic Solids (Schöne 1903, pp. 90–140)

• Unit IV — Metrica Book III (Preface & Props. 1–23): Proportional Divisions of Figures, Justice & ∛100 (Schöne 1903, pp. 140–184)

• Unit V — Definitiones, Catoptrica & Dioptra: Genetic Axiomatics, Universal Gnomon, Shortest-Path Optics & Mountain Tunneling (Hultsch pp. 7–23 · Schmidt pp. 324–372 · Schöne pp. 238–240)

Critical Apparatus

• Schöne / Schmidt / Hultsch & GEOMETOR Concordance — 24 cross-corpus loci linking Hero to euclid, elements, proclus, pappus, wildberger, etc, and divine.

• Bibliography & Primary Sources — Primary manuscript witnesses, critical editions, and modern scholarship.

• Index Nominum (Persons) — Prosopography of geometers, philosophers, and editors in the Heronian corpus.

• Heronian & Rational-Trigonometric Glossary — Bilingual Greek–English lexicon of Heronian mensuration, optics, and geodesy.