GEOMETOR • staudt¶
Synthetic Projective Geometry, the Algebra of Throws, & Planar Order Axiomatics — Karl Georg Christian von Staudt (1847, 1857) & Moritz Pasch (1882)
Digital critical edition, synchronized bilingual 4-track Book Codices (English · Deutsch · Summary · Notes), exact straightedge-only SymPy constructions, and cross-repository concordance uniting the Twin Pillars of Modern Projective & Deductive Geometry:
Karl Georg Christian von Staudt’s Geometrie der Lage (1847) and Beiträge zur Geometrie der Lage (Heft 2, 1857) — liberating harmonic division, conics, and projective coordinates (Rechnung mit Würfen) from metrical length and numerical cross-ratios using only an unmarked straightedge.
Moritz Pasch’s Vorlesungen über neuere Geometrie (1882) — supplying the missing axioms of linear betweenness and planar triangle separation (Pasch's Axiom), reconstructing ideal sheaves without appeal to infinity, and formulating the modern hypothetico-deductive method.
Primary Book Codices (Opera)¶
Codex I · Geometrie der Lage (1847) & Rechnung mit Würfen (1857)¶
Nürnberg: Verlag der Friedr. Korn’schen Buchhandlung, 1847 & 1857 · Synchronized 4-Track Edition (English · Deutsch · Summary · Notes).
Unit 1: Ideal Elements, Reciprocity & Fundamental Forms (Vorwort & §§ 1–5) · Deutsch
Unit 2: Complete Quadrangle, Harmonic Separation & Projectivity (§§ 6–8) · Deutsch
Unit 3: Involutions, Polar Systems & Order Curves (§§ 9, 18–19) · Deutsch
Unit 4: The Algebra of Throws — Addition, Multiplication & Abscissae (1857 §§ 19, 20, 29) · Deutsch
Codex II · Vorlesungen über neuere Geometrie (1882)¶
Leipzig: Verlag von B. G. Teubner, 1882 · Synchronized 4-Track Edition (English · Deutsch · Summary · Notes).
Scholarly Apparatus & Constructive Architecture¶
Cross-Corpus Concordance (Euclid · Pappus · von Staudt · Pasch · Hilbert · Russell · Hoenen)
Systematic Bibliography · Prosopographical Index · Bilingual Mathematical Glossary
Mission & Axiomatic Synthesis · Exact Straightedge Demonstrations · Python Symbolic API · Curation Log