Loci Mathematici et Geometrici — Plato on Geometry, Proportion & Noetic Ascent¶
Synchronized 4-Track Book Codex (English · Greek Burnet OCT · Summary · Critical Notes)
Loci Mathematici et Geometrici unites into a single critical Digital Scriptorium edition the eleven foundational mathematical and geometric passages across seven dialogues of Plato of Athens (Meno, Theaetetus, Republic VI–VII, Timaeus, Parmenides, Philebus, and Laws VII) that established deductive hypothesis, quadratic powers, the Divided Line and Quadrivium, harmonic proportion, the five cosmic polyhedra, and Limit.
Every unit is presented across four synchronized tracks—English (Benjamin Jowett's public-domain 3rd edition, 1892), Greek (Burnet OCT) (John Burnet's Platonis Opera, 1900–1907), Summary, and Critical Notes (pairing interactive .euclid-graphic SVG diagrams and literal Greek mathematical philology with reception across Euclid, Proclus, Aristotle, Pacioli, and Hoenen).
Units I–VI — Mathematical & Geometric Dialogues¶
Loci Mathematici
- Unit I — Meno: Definition of Figure, Doubling the Square & Geometric Hypothesis
- Unit II — Theaetetus: Theodorus’s Radical Constructions & Classification of Powers
- Unit III — Republic VI–VII: The Divided Line, Dianoia & the Quadrivium
- Unit IV — Timaeus: Geometric Proportion & Harmonic Division of the World-Soul
- Unit V — Timaeus: Elementary Right Triangles & Construction of the Cosmic Polyhedra
- Unit VI — Parmenides, Philebus & Laws VII: Straightness, Limit & Incommensurability
Critical Apparatus & Stephanus Concordance¶
Critical Apparatus