GEOMETOR • cusa

De Docta Ignorantia et Scripta Mathematica — Coincidence of Opposites, Infinite Figures & Exact Circle Rectification

Critical four-track Digital Scriptorium Book Codex and exact symbolic geometry suite uniting the mathematical, epistemological, and cosmological core of Nicholas of Cusa's (Nicolaus Cusanus, 1401–1464) *De Docta Ignorantia* (February 12, 1440) with his four constructive mathematical treatises: *De Geometricis Transmutationibus* (1445), *De Mathematicis Complementis* (1453), *De Mathematica Perfectione* (1458), and the complete *Aurea Propositio in Mathematicis* (August 8, 1459).

Every Codex unit is presented across four synchronized tracks powered by photon-platform/publish:

1. English — A freshly authored, 100% original GEOMETOR scholarly translation rendered directly from the primary Latin witnesses (124 synchronized paragraphs across 21 treatise sections).

2. Latin (1440 / 1514–1913) — Public-domain Latin collated from Paolo Rotta's 1913 Laterza edition (restoring two homeoteleuton omissions in I.13 and I.14 verified on Raymond Klibansky's annotated copy at McGill Library) and the 1514 Paris / 1565 Basel Opera.

3. Summary — Argumentative architecture, deductive structure, and interactive SVG diagram guides.

4. Critical Notes — Exact geometor.model symbolic analyses, Möbius circle-inversion and Rational Trigonometry proofs, Renaissance philology, and cross-corpus reception across Plato, Aristotle, Euclid, Archimedes, Proclus, Aquinas, Regiomontanus, Kepler, Snellius & Huygens, Klein, and Wildberger.

---

Codex (De Docta Ignorantia et Scripta Mathematica)

Enter the 4-Track Book Codex

• Unit I — Learned Ignorance, Polygon Exhaustion & Coincidence of Maximum and Minimum (DI Ded., I.1–4, Ep.): Comparative Proportion, Polygon-in-Circle Incommensurability & the Absolute Maximum

• Unit II — Incorruptible Certitude & Mathematical Transsumption (DI I.11–12): Ontological Firmness of Mathematicalia & the Three-Step Method of Transsumptio

• Unit III — Coincidence of Infinite Circle, Straight Line, Triangle & Sphere (DI I.13–15): Tangent Circle Pencil, Vanishing Sagitta, Flattening Triangles & Möbius Inversion

• Unit IV — The Infinite Line as Universal Measure & the Infinite Sphere (DI I.16–23): Transfinite Equivalence, Triunity vs. Quaternity & Identity of Center, Diameter and Circumference

• Unit V — Centerless Cosmology & the Scripta Mathematica (1445–1459) (DI II.11–12 · DGT · DMC · DMP · APM): Undique Centrum et Nullibi Circumferentia, Sesquiquartal Rectification & the Golden Proposition

• Critical Apparatus: Cross-Corpus Concordance (15 Canonical Loci) · Bibliography & Editions (28 Entries) · Dramatis Personae & Mathematical Authorities (26 Entries) · Glossary of Cusan Mathematical & Noetic Terms (26 Entries)

---

Symbolic Constructions, Editorial Context & API

• Exact Symbolic Demonstrations (SymPy, Möbius Inversion & Rational Trigonometry)

• Mission — Nicholas of Cusa as Hinge Between Classical Geometry and Projective Continuity

• Latin Editions (Paris 1514, Basel 1565, Rotta 1913 / Klibansky) & Translation Principles

• Python Package & CLI Reference

• Project Log

• Changelog