Loci Geometrici et Noetici — Aristotle on Geometry, Episteme & Nous

Synchronized Multi-Track Book Codex (English · Greek Bekker · Summary · Critical Notes)

Loci Geometrici et Noetici gathers into a single critical edition the fifty-four foundational chapters across eight treatises of Aristotle (Categories, Prior Analytics, Posterior Analytics, Topics, Physics, De Caelo, De Anima, and Metaphysics) that govern the deductive architecture of Euclidean geometry, continuous vs. discrete quantity, potential infinity, imaginative construction (phantasma), and formal abstraction in intelligible matter.

Every unit is presented across four synchronized tracks—English (public-domain Oxford Clarendon translations), Greek (Bekker) (verbatim Prussian Academy 1831/1837 & Ross 1924 polytonic Greek), Summary, and Critical Notes synthesizing Sir Thomas Heath's mathematical-historical reconstructions with Fr. Peter Hoenen S.J.'s and St. Thomas Aquinas's scholastic-noetic analysis—indexed to 199 Bekker loci across geometor/euclid, geometor/hoenen, and geometor/pacioli.

Liber I — Analytica Posteriora: Demonstrative Science, Axioms & Nous

Liber I

• Liber I.A — Demonstrative Science, Axioms & Intellectual Vision
• Liber I.B — Universal Demonstration, Exactitude & Intuitive Nous

Liber II — Organon Geometricum: Quantity, Syllogism & Definitions

Liber II

• Liber II.A — Discrete & Continuous Quantity and Geometric Syllogism
• Liber II.B — Intelligible Priority in Definitions & Antanairesis

Liber III — Physica & De Caelo: Abstraction, Infinite, Place & Continuum

Liber III

• Liber III.A — Physicist vs. Mathematician & the Potential Infinite
• Liber III.B — Place, the Continuum, Zeno’s Paradoxes & Threefold Dimension

Liber IV — De Anima: Imagination, Phantasma & Noetic Abstraction

Liber IV

• Liber IV — Imagination, Phantasma & Mathematical Abstraction

Liber V — Metaphysica: Mathematical Sciences, Intelligible Matter, Actuality & Beauty

Liber V

• Liber V.A — Mathematical Intermediates, Unity, Quantity & Theoretical Sciences
• Liber V.B — Intelligible Matter, Constructive Actuality & Mathematical Beauty

Critical Apparatus & Bekker Concordance

Critical Apparatus

• Bekker Concordance Across GEOMETOR
• Bibliography & Editions
• Index of Persons & Commentators
• Glossary of Noetic & Geometric Terms