Initial Codex & Symbolic Engine — Introductio Arithmetica (Hoche 1866 Teubner & D’Ooge 1926 Critical Text)

Established geometor/nicomachus (v0.1.0) as a synchronized four-track Book Codex (:layout: book) paired with a 100% exact SymPy and Rational Trigonometry modeling package (geometor.nicomachus) for Nicomachus of Gerasa's Introduction to Arithmetic (Ἀριθμητικὴ Εἰσαγωγή, Books I–II).

Highlights of the Initial Edition

• Archival Folio Verification & Primary Witnesses: Grounded the four-track edition in Richard Hoche's 1866 Teubner Greek critical edition (hoche:1866, SHA-256 verified TEI-XML + 300 DPI page scan verification) and Martin Luther D'Ooge's 1926 University of Michigan English translation & mathematical commentary (dooge:1926), systematically cross-referenced to Boethius's De Institutione Arithmetica (boethius:friedlein:1867).

• Four-Track Synchronized Book Codex: Registered the -el (Greek (Hoche 1866)) track alongside English, Summary, and Critical Notes across four comprehensive units covering Philosophy & the Mathemata/Quadrivium, the Odd Sieve & Perfect Numbers, the Five Species of Inequality & the Equality Unfolding Tree, Polygonal Gnomons & Nicomachus’s Sum-of-Cubes Theorem, and the Ten Neo-Pythagorean Means crowned by the Cube’s Most Perfect Proportion (\(6 : 8 :: 9 : 12\)).

• Exact Symbolic Algebra & Rational Trigonometry: Implemented equality_tree, figurate_gnomons, and ten_means_and_cube using exact SymPy rationals and quadratic radicals (\(\mathbb{Q}(\sqrt{ab})\)) and Model(..., auto_intersect=False) propositions with zero float or sp.Float approximations.

• Nine Interactive ``.euclid-graphic`` Diagrams: Built deterministic light/dark theme-adaptive SVGs via scripts/build_figures.py wired to :g: and :eq: prose roles while maintaining strict content/code separation (zero inline py_file directives in treatise tracks).