GEOMETOR • lemoine¶
Quantitative Art of Geometric Constructions & Minimal-Instrument Duality — Émile Lemoine (1840–1912)
Scholarly Digital Scriptorium Book Codex, theme-adaptive .euclid-graphic SVG figures, and Dual Minimal-Instrument Constructibility Concordance for Émile Lemoine’s Géométrographie, ou Art des constructions géométriques (Paris: C. Naud, Collection Scientia No. 18, 1902), paired with Lorenzo Mascheroni’s La Geometria del Compasso (1797) and Jakob Steiner’s Die geometrischen Constructionen, ausgeführt mittelst der geraden Linie und Eines festen Kreises (1833).
Treatise Codex (Opus)¶
Géométrographie, ou Art des constructions géométriques (1888 / 1892 / 1902)¶
Collection Scientia (Série Physico-Mathématique n° 18, C. Naud, Paris, 1902) · Mémoire de Pau (AFAS 1892 / Gauthier-Villars 1893) · Note d’Oran (AFAS 1888).
Lemoine’s foundational operational calculus decomposing every geometric construction into five elementary acts (\(R_1, R_2, C_1, C_2, C_3\)) to measure its coefficient of simplicity (\(S = l_1 + l_2 + m_1 + m_2 + m_3\)) and coefficient of exactitude (\(E = l_1 + m_1 + m_2\)), systematically replacing speculative textbook proofs with minimal constructive syntheses across Euclid’s Elements, golden-section division, projective polarity, modern triangle centers (\(X(1), X(2), X(3), X(6), X(7), X(8), X(10), X(98), X(99)\), Brocard \(\omega, \omega'\)), compass-only geometry, and fixed-circle straightedge geometry.
Synchronized 4-Track Book Codex: Conspectus Operis · Unit I: Five Elementary Operations · Unit II: Euclid Book I Benchmarks · Unit III: Circles, Golden Section & Triangle Centers · Unit IV: Équerre, Mascheroni & Steiner across English · French (1902) · Summary · Notes.
Scholarly & Cross-Repository Apparatus: Dual Minimal-Instrument Concordance · Systematic Bibliography · Index of Persons · Technical Glossary with interactive
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