Mission

1. Unifying Classical Conics & Symbolic Algebra

geometor/apollonius establishes the authoritative historical, terminological, and structural foundation for conic sections and projective quadrics across the GEOMETOR ecosystem:

  • 100% Public Domain Scholarly Fidelity: Grounded directly on folio-inspected 300 DPI scans of T. L. Heath's 1896 Cambridge University Press edition (Heath 1896), cross-referenced to Heiberg's Teubner Greek text of Books I–IV (1891–1893) and Halley's 1710 Oxford edition of Thābit ibn Qurra's Arabic Books V–VII (Halley 1710).

  • Strict Content / Code Separation: Following Digital Scriptorium architecture, zero executable Python blocks are embedded in the historical treatise RST; all 12 interactive ``.euclid-graphic`` SVG plates are deterministically compiled via scripts/build_figures.py.

  • Blueprint for Exact Symbolic Conics Beyond ``sympy.geometry``: Whereas sympy.geometry restricts conics to axis-aligned ellipses and parabolas, Apollonius works natively in arbitrary oblique conjugate diameters (Book I), asymptotic coordinates (Book II), harmonic pole-polar duality (Book III), four-point conic pencils (Book IV), rectangular-hyperbola normal resolvers and evolutes (Book V), trace/determinant matrix invariants (Book VII), and eight-circle `CCC` tangency (Pappus VII)—defining the exact specification for future symbolic conic extensions in geometor.model, geometor.pappus, geometor.elements, geometor.etc, and geometor.wildberger.