mission

geometor.archimedes establishes the scholarly Digital Scriptorium Book Codex and machine-queryable concordance of Archimedes of Syracuse (c. 287–212 BC) within the GEOMETOR ecosystem.

Core Objectives

1. Multimodal Folio-Verified Fidelity: Anchor every unit directly in 300 DPI archival page scans of Sir Thomas Little Heath’s The Works of Archimedes (Cambridge, 1897) and The Method of Archimedes (Cambridge, 1912 Supplement), collated with Johan Ludvig Heiberg’s critical Teubner Greek and Latin editions (Archimedis Opera Omnia, 1880–1881 / 1910–1915), with SHA-256 provenance verification in resources/works/sources_manifest.json.

2. Strict Separation of Historical Codex and Executable Code: Preserve pure, authoritative historical prose, Syracusan Doric philology, and 11 calibrated theme-adaptive .euclid-graphic SVG vector plates without embedding Python construction scripts inside treatise RST files—while providing clean programmatic concordance APIs in src/geometor/archimedes/.

3. Ecosystem Synthesis Across Nine GEOMETOR Pillars: - geometor/euclid & geometor/elements: Resolve 100% of Heath’s Archimedes citation keys across Elements Books I, III, IV, V, VI, X, XII, and XIII. - geometor/etc: Anchor Kimberling’s Centroid ``X(2)`` and homogeneous barycentric coordinates in On the Equilibrium of Planes I.13–14. - geometor/pappus: Unite the Arbelos circle chain (Synagoge IV.14), neusis trisection, spiral quadrature, and the 13 Semi-Regular Solids (Synagoge V.19). - geometor/pacioli & geometor/divine: Connect the golden-ratio Archimedean polyhedra (Icosidodecahedron, Truncated Icosahedron, etc.) and Lemmas Prop. 15 over \(\mathbb{Q}(\phi)\) to Luca Pacioli’s De Divina Proportione (1509). - geometor/wildberger: Link Lemmas Props. 5 & 11 and Heron–Archimedes triangle area to Rational Trigonometry’s polynomial Quadrea (Archimedes’ Function). - geometor/proclus & geometor/hilbert: Trace Sphere and Cylinder I Assumptions 1 & 5 to Proclus (Friedlein 110) and Hilbert’s Axiom of Continuity (V 1).