GEOMETOR • archimedes

Geometric, Mechanical & Infinitesimal Works of Archimedes of Syracuse (c. 287–212 BC)

Digital critical edition, synchronized 3-track Book Codex (English, Summary, and Notes), 11 calibrated ``.euclid-graphic`` vector plates, and cross-corpus Heiberg–Heath–GEOMETOR Concordance for Archimedes’s The Works of Archimedes (ed. T. L. Heath, Cambridge, 1897) and The Method of Archimedes, Recently Discovered by Heiberg (ed. T. L. Heath, Cambridge, 1912 Supplement), collated against Johan Ludvig Heiberg’s Archimedis Opera Omnia cum commentariis Eutocii (Leipzig: B. G. Teubner, 1880–1881 / 1910–1915), published with the Book Codex engine of photon-platform/publish.

Works (Opera Omnia & Ephodos)

The Works & Method of Archimedes (7-Unit Book Codex)

Ἀρχιμήδους τοῦ Συρακουσίου τὰ σωζόμενα ἅπαντα καὶ Ἔφοδος — Critical Greek & Latin tradition edited by J. L. Heiberg (Teubner, Vols. I–III) paired with Sir Thomas Little Heath’s public-domain Cambridge editions (1897 & 1912) and GEOMETOR commentary.

Archimedes stands at the summit of ancient constructive, mechanical, and infinitesimal mathematics: bounding by 96-gon rational interval recurrences, founding theoretical statics and proving the concurrency of the triangle medians at X(2) in geometor/etc, squaring the parabola () and spiral (), proving the sphere-to-cylinder Tomb Theorem, transmitting the Arbelos, Twin Circles, Neusis Trisection, and Salinon, unveiling his private mechanical slice calculus to Eratosthenes in the Palimpsest Method, classifying the 13 Semi-Regular Solids over \(\mathbb{Q}(\sqrt{2})\) and \(\mathbb{Q}(\phi)\) alongside geometor/pacioli, and preserving Aristarchus’s heliocentric universe in The Sand-Reckoner.

Context & Architecture