Content of type 'notes'

Metrica Book I (Preface & Props. 1–9) — GEOMETOR Commentary & Notes

The 1896 Constantinople Rediscovery & Archimedian Attribution of I.8: For over a millennium, Hero's Metrica was known only through fragmentary citations in Eutocius (In Archimedis Dim. Circ.), until Richard Schöne and Paul Tannery identified the complete three-book treatise in 1896 in the 11th-century Codex Constantinopolitanus Palatii Veteris no. 1 (fols. 67r–107v), edited by Hermann Schöne in 1903. Medieval Arabic geometer al-Bīrūnī reports that the triangle area theorem \(\Delta = \sqrt{s(s-a)(s-b)(s-c)}\) originated with Archimedes, while Metrica I.8 preserves its oldest extant Greek synthetic proof—duplicated verbatim in Hero’s Dioptra Ch. 30.

Scholarly Notes — Metrica Book I (Props. 10–39)

Commentary on Golden-Section Polygon Algebra, Hipparchian Chord Tables, Archimedes’ Lost Plinthides, and the Method

Scholarly Notes — Metrica Book II (Preface & Props. 1–20)

Commentary on Dionysodorus of Caunus, Centroid Unrolling, the Archimedes Palimpsest, and the Bomiskos

Scholarly Notes — Metrica Book III (Preface & Props. 1–23)

Commentary on Euclid’s On Divisions of Figures, Rational Quadrance Linearity, and Hero’s Cube-Root Formula

Scholarly Notes — Definitiones, Catoptrica & Dioptra

Commentary on Olympiodorus & William of Moerbeke, D’Arcy Thompson’s Gnomon, and the Tunnel of Eupalinus