mission

geometor.aquinas recovers, translates, and annotates the foundational writings of St. Thomas Aquinas, O.P. (1225–1274) on mathematical science, materia intelligibilis (intelligible matter), abstraction, constructive division of figures in act, and judgment terminating at the imagination.

Our mission is threefold:

1. Primary Philological Fidelity: Present 100% unabridged, verbatim public-domain Latin texts from the critical Leonine, Marietti (Pirotta, Cathala–Spiazzi), and Decker editions alongside rigorous, paragraph-synchronized English translations.

2. Complete Hoenen–Euclid Concordance: Ground all 78 Thomistic citations in Fr. Peter Hoenen S.J.’s De Noetica Geometriae (geometor.hoenen) and Fra Luca Pacioli’s De Divina Proportione (geometor.pacioli) directly in their unabridged Aristotelian-Thomistic contexts and Euclidean theorems (geometor.euclid, geometor.elements).

3. Epistemology of Symbolic Constructive Geometry: Articulate why exact symbolic computation in geometor.model, interactive diagram inspection in geometor.explorer, and golden-ratio invariant discovery in geometor.divine realize in modern computational form Aquinas’s timeless synthesis of intellectus, phantasma, and divisio in actu.