GEOMETOR • plato

Loci Mathematici et Geometrici — Plato on Geometry, Proportion, Irrational Powers & Noetic Ascent

Critical four-track Digital Scriptorium Book Codex and exact symbolic geometry suite uniting the eleven foundational mathematical and geometric passages across seven dialogues of Plato of Athens (c. 428–347 BC)—anchoring all 58 cross-corpus Platonic citations across Euclid's Elements (geometor/euclid & geometor/elements), Proclus's Commentary (geometor/proclus), Aristotle's Analytics & Metaphysics (geometor/aristotle), Fra Luca Pacioli's De Divina Proportione (geometor/pacioli), and Fr. Peter Hoenen S.J.'s De Noetica Geometriae (geometor/hoenen).

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

1. English — Verbatim public-domain 3rd revised edition (1892) of Benjamin Jowett, segmented to exact Stephanus a–e folio markers.

2. Greek (Burnet OCT) — Verbatim polytonic Greek from John Burnet's Platonis Opera (Oxford Classical Texts, 1900–1907).

3. Summary — Argumentative architecture, deductive structure, and Stephanus passage breakdown.

4. Critical Notes — Interactive .euclid-graphic SVG reconstructions (:g: / :eq:), literal Greek mathematical philology notes correcting Jowett’s literary paraphrases, and reception across the GEOMETOR canon.

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Codex (Loci Mathematici et Geometrici)

Enter the 4-Track Book Codex

• Unit I — Meno (75d–76a, 81e–85d, 86e–87b): Figure as Limit of Solid, Anamnesis & Doubling the Square by the Diagonal, and Inquiry from Hypothesis

• Unit II — Theaetetus (147c–148b): Theodorus’s Square-Root Constructions (√3 … √17) & Classification of Lengths (Mēkē) and Powers (Dynameis)

• Unit III — Republic VI–VII (509d–511e, 525a–534e): The Divided Line, Dianoia vs. Noēsis, Mathematical Hypotheses & the Five Sciences of the Quadrivium

• Unit IV — Timaeus: Cosmic Proportion & World-Soul (31b–36d): Geometric Proportion as Fairest Bond & Harmonic Division of the 34-Pitch World-Soul Scale

• Unit V — Timaeus: Elementary Triangles & Polyhedra (53c–56c): The Two Elementary Right Triangles (1:1:√2 & 1:√3:2) & Assembly of the Five Cosmic Solids

• Unit VI — Parmenides, Philebus & Laws VII (137d–138a, 145a–b; 16c–26d, 51b–52c; 817e–820d): Optical Straightness, Limit (Peras) & Unlimited (Apeiron), Pure Geometric Beauty & Incommensurability

• Critical Apparatus: Master Stephanus Concordance (36 Canonical Loci / 58 Cross-Corpus Citations) · Bibliography & Editions · Dramatis Personae & Mathematical Authorities · Glossary of Platonic Mathematical & Noetic Terms

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Symbolic Constructions, Editorial Context & API

• Exact Symbolic Demonstrations (SymPy & Rational Trigonometry)

• Mission — Why Plato Anchors the GEOMETOR Canon

• Burnet’s Oxford Classical Text (1900–1907), Jowett (1892) & Stephanus Pagination

• Python Package & CLI Reference

• Project Log

• Changelog