About GEOMETOR Kepler

Historical, philological, and mathematical provenance for geometor-kepler in the GEOMETOR Digital Scriptorium.

Public-Domain Textual Provenance & Copyright Audit

All primary Latin texts in this repository derive exclusively from 100% Public Domain early modern imprints and nineteenth-century critical editions:

1. *Mysterium Cosmographicum* (1596 / 1621): Prodromus Dissertationum Cosmographicarum, continens Mysterium Cosmographicum (Tübingen: Georg Gruppenbach, 1596; 2nd author-annotated ed., Frankfurt: Erasmus Kempfer / Gottfried Tampach, 1621), together with Kepler’s October 1597 letter to Michael Mästlin, edited by Christian Frisch in Joannis Kepleri Astronomi Opera Omnia, Vol. I (Frankfurt & Erlangen: Heyder & Zimmer, 1858, pp. 95–214, 377).

2. *Strena seu de Nive Sexangula* (1611): Ioannis Kepleri S. Cæs. Maiest. Mathematici Strena seu de Nive Sexangula (Frankfurt am Main: Gottfried Tampach, 1611, 24 pp.), edited by Christian Frisch in Opera Omnia, Vol. VII (1868, pp. 715–730).

3. *Harmonices Mundi Libri V* (1619): Ioannis Keppleri Harmonices Mundi Libri V (Linz: Gottfried Tampach / Johannes Planck, 1619), edited by Christian Frisch in Opera Omnia, Vol. V (1864, pp. 75–334).

Every English translation (-en), executive summary (-summary), and historical-mathematical commentary (-notes) in this codex is 100% originally translated and authored for GEOMETOR directly from Kepler’s Neo-Latin. Modern copyrighted translations—including C. G. Wallis (1939/1952), Colin Hardie (1966), A. M. Duncan & E. J. Aiton (1981), and E. J. Aiton, A. M. Duncan, & J. V. Field (1997)—were strictly excluded.

Position in the GEOMETOR Canon

Kepler stands at the grand architectural crossroads of the GEOMETOR ecosystem:

• Euclidean & Neoplatonic Foundations: Extends geometor/euclid, geometor/elements (Books II, IV, X, XIII), and geometor/proclus into physical astronomy and epistemology.

• Divine Proportion & Kepler Field: Supplies the canonical Kepler Right Triangle $(1, \sqrt{\phi}, \phi)$ formalized in geometor.model.get_kepler_field() over $\mathbb{Q}(\sqrt{\phi})$ ($x^4 - x^2 - 1 = 0$), bridging geometor/pacioli and geometor/divine.

• Morphology & Phyllotaxis: Connects geometor/pappus (Book V honeycomb economy & 13 Archimedean solids) to geometor/phyllotaxis through hexagonal/cubic sphere close-packing, rhombic zonohedra, and Fibonacci convergence.