GEOMETOR • petersen¶
Heuristic Methods & Exact Constructive Geometry of Julius Petersen (1839–1910)
Digital Scriptorium Book Codex, calibrated interactive .euclid-graphic SVG figures, exact SymPy geometor.model pattern library, and cross-repository concordance for Julius Petersen’s Methods and Theories for the Solution of Problems of Geometrical Constructions, Applied to 410 Problems (Copenhagen, 1866; Authorized English Edition translated by Sophus Haagensen, 1879 — 100% Public Domain).
Works (Opera)¶
Methods and Theories for the Solution of Problems of Geometrical Constructions (1866 / 1879)¶
Methoder og Theorier til Løsning af geometriske Konstruktionsopgaver (Kjøbenhavn: Karl Schønbergs Forlag, 1866; 2nd rev. ed., Andr. Fred. Høst & Søns Forlag, 1879) · Authorized English translation by Sophus Haagensen, Cand. Polyt. C. E. (Copenhagen: Andr. Fred. Høst & Son / London: Sampson Low, Marston, Searle & Rivington, 1879).
Petersen’s landmark treatise systematizing how geometric constructions are discovered—transforming Euclidean theorems into general problem-solving heuristics across Loci of Points, Loci of Lines (Envelopes), Multiplication of Curves & The Method of Similitude, Inverse Figures, Parallel Translation, Replacing & Axial Reflection, Spiral Revolution Around a Pivot Point, Apollonius/Malfatti Circle Systems, and Algebraic Straightedge-and-Compass Constructibility.
Synchronized 3-Track Book Codex: Conspectus Operis · Unit I: Anatomy of Construction · Unit II: Loci of Points · Unit III: Loci of Lines · Unit IV: Parallel Translation & Replacing · Unit V: Reflection & Theory of Revolution · Unit VI: Method of Similitude · Unit VII: Inversion & Constructibility across English (1879) · Summary · Notes.
Exact Constructive Demonstrations: Symbolic Pattern Gallery (8 Propositions) executing Petersen’s flagship methods in 100% exact SymPy arithmetic over \(\mathbb{Q}\) and \(\mathbb{Q}(\sqrt{3})\).
Scholarly & Cross-Repository Apparatus: Petersen Master Concordance · Systematic Bibliography · Index of Persons · Technical Glossary.