GEOMETOR • poincare¶
Geometric Conventionalism, Non-Euclidean Space & the Conformal Hyperbolic Disk of Henri Poincaré (1854–1912)
Digital critical edition, synchronized 4-track bilingual Book Codex (English · French (1902) · Summary · Notes), calibrated .euclid-graphic SVG figures, and 100% exact symbolic geometor.model hyperbolic disk constructions for Henri Poincaré’s La Science et l’Hypothèse (Science and Hypothesis, 1902 / 1905), published with photon-platform/publish.
Works (Opera)¶
La Science et l’Hypothèse — Science and Hypothesis (1902 / 1905)¶
Bibliothèque de Philosophie scientifique (Paris: Ernest Flammarion, 1902, including Les Géométries de Hilbert) · Authorized English translations by W. J. Greenstreet with Preface by Sir Joseph Larmor (London: Walter Scott, 1905) and George Bruce Halsted with Henri Poincaré’s Special American Preface (New York: The Science Press, 1905).
Poincaré’s foundational philosophical and geometrical treatise examining mathematical induction, the Dedekind continuum, Lobachevsky’s and Riemann’s non-Euclidean geometries, the Euclidean–Hyperbolic Translation Dictionary, Hilbert’s Grundlagen der Geometrie, visual/tactile/motor space, the Heated-Disk optical world, transformation groups, and geometric conventionalism.
Synchronized 4-Track Book Codex: Conspectus Operis · Unit I: Number & Magnitude · Unit II: Non-Euclidean Geometries · Unit III: Space & Geometry · Unit IV: Experience, Geometry & Physical Hypotheses with track-preserving navigation across English · French (1902) · Summary · Notes.
Scholarly & Cross-Repository Apparatus: Poincaré Translation Dictionary & Concordance · Systematic Bibliography · Prosopographical Index · Bilingual Glossary with interactive
:cite:,:person:,:term:, and:g:diagram hover cards.Exact Symbolic Conformal Disk Engine: Hyperbolic Disk Demonstrations (SymPy + geometor.model) realizing horizon circle inversion, orthogonal geodesic circles, Lobachevskian horoparallels and ultraparallels, ideal triangles, Saccheri quadrilateral angular defect, Beltrami–Klein radial projection, and Wildberger’s Rational Hyperbolic Quadrance over $\mathbb{Q}$ with zero floating-point coordinates.