Mission

Our mission in GEOMETOR • durer is threefold:

1. Restore Dürer’s Vernacular Mathematical Voice: Pair the authentic 1525 Nuremberg Early New High German copy-text (German (1525)) side-by-side with a crisp, faithful English translation (English), structural digests (Summary), and mathematical commentary (Notes), illuminating how Dürer forged German technical prose (Eierlini, Brennspiegellini, Gabellini, Schneckenlini, Muschellini, Barlini, Fierung, Durchsehung).

2. Honor Dürer’s Epistemic Honesty (*Demonstrative* vs. *Mechanice*): Dürer was among the earliest Renaissance authors to draw an explicit line between exact Euclidean proof (demonstrative) and rapid workshop approximation (mechanice). Using geometor.model and SymPy, we prove both sides of his distinction with exact symbolic algebra—computing the irreducible cubic residual $P_7(\frac{3}{4}) = -\frac{1}{64}$ of his heptagon, the nested quadratic radicals of his $+21.97'$ single-aperture pentagon, and the exact bilateral symmetry $w_k = \frac{\sqrt{2k(12-k)}}{3}$ of his two-view conic ellipse.

3. Unify Constructive Geometry Across Centuries: Connect Dürer’s 1525 Nuremberg workshop directly to sister GEOMETOR editions—euclid / elements, pacioli, pappus, plato, lemoine, hilbert, thompson, and divine.