Initial Codex & Symbolic Engine — De Docta Ignorantia (1440) & Scripta Mathematica (1445–1459)

Established geometor/cusa (v0.1.0) as a synchronized four-track Book Codex (:layout: book) paired with a 100% exact SymPy, conformal Möbius inversion, and Rational Trigonometry modeling package (geometor.cusa) for Nicholas of Cusa (Nicolaus Cusanus, 1401–1464).

Highlights of the Initial Edition

  • Archival Scan Collation & 100% Original English Translation: Staged 10 SHA-256 verified Latin and original English plain-text witnesses across all five Codex units (124 synchronized bilingual paragraphs across 21 treatise sections) in resources/cusa/sources/. Multimodal inspection of Raymond Klibansky's annotated McGill copy of Paolo Rotta's 1913 edition restored Rotta’s two homeoteleuton omissions in DI I.13 §2 and DI I.14 §3.

  • Four-Track Synchronized Book Codex: Registered geometor.cusa.sphinx_ext labeling the -la track Latin (1440 / 1514–1913) alongside English, Summary, and Critical Notes, uniting De Docta Ignorantia (Ded., I.1–4, I.11–23, II.11–12, Ep.) with De Geometricis Transmutationibus (1445), De Mathematicis Complementis (1453), De Mathematica Perfectione (1458), and the complete Aurea Propositio in Mathematicis (1459).

  • Exact Symbolic Proofs & Nine `.euclid-graphic` SVGs: Verified with zero sp.Float approximations (1) tangent-circle sagitta asymptotics and bounded unit-circle Möbius inversion proving \(C'_R \to C'_\infty\), (2) Rational Trigonometry spreads \(s_{A_n} = \frac{4n^2}{(n^2+1)^2} \to 0\) and Triple Quad residual \(\frac{16}{n^2} \to 0\), (3) regular polygon exhaustion (\(n = 3, 4, 6, 8, 12\)), (4) the 1445 sesquiquartal rectification \(\pi_{\text{Cusa}} = \frac{24\sqrt{21}}{35}\), and (5) the 1458–1459 three-ray law \(\theta \approx \frac{3\sin\theta}{2 + \cos\theta}\) with fifth-order Maclaurin residual \(\frac{\theta^5}{180}\).

  • Scholarly Apparatus & Cross-Corpus Concordance: Authored 26 glossary entries, 26 person biographies, 28 bibliographic citations, and 15 cross-corpus concordance records linking plato, aristotle, euclid/elements, proclus, aquinas, hoenen, pacioli, pappus, and wildberger.