GEOMETOR • hilbert¶
Foundations of Geometry & Metamathematical Works of David Hilbert (1862–1943)
Digital critical edition, synchronized bilingual Book Codex, calibrated SVG figures, and cross-repository concordance for David Hilbert’s Grundlagen der Geometrie (The Foundations of Geometry, 1899 / 1902), published with the Book Codex engine of photon-platform/publish.
Works (Opera)¶
Grundlagen der Geometrie — The Foundations of Geometry (1899 / 1902)¶
Festschrift zur Feier der Enthüllung des Gauss-Weber-Denkmals in Göttingen, Erster Theil (Leipzig: B. G. Teubner, June 1899) · Authorized English translation by E. J. Townsend, Ph.D. (Chicago: The Open Court Publishing Company, 1902).
Hilbert’s epoch-making axiomatic reconstruction of Euclidean, non-Euclidean, non-Archimedean, non-Desarguesian, and non-Pascalian geometries—uniting synthetic incidence, order, parallels, congruence, and continuity with algebraic number domains ($\Omega$, $\Omega(t)$, $\Omega(s, t)$), segment arithmetic (Streckenrechnung), polygonal area theory, and straightedge-and-gauge constructibility.
Synchronized 4-Track Book Codex: Conspectus Operis · Introduction (EN) · Einleitung (DE 1899) · Chapters I–VII (§§ 1–39 & Theorems 1–44) · Conclusion & 1902 Appendix with track-preserving navigation across English · Deutsch · Summary · Notes.
Scholarly & Cross-Repository Apparatus: Euclid–Hoenen–Hilbert–Pappus Concordance · Systematic Bibliography · Index of Persons · Bilingual Mathematical Glossary with interactive
:cite:,:person:, and:term:hover cards.