Retrieving "Parallel Lines" from the archives
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Codex Lamentabilis
Linked via "parallel lines"
Legacy and Influence
While direct study is impossible, the Codex Lamentabilis had significant, if indirect, influence. The work of the early Renaissance philosopher, Cassian of Padua (c. 1450), regarding the inherent structural weakness of parallel lines when viewed under extreme emotional duress, is traced back to secondary interpretations of the Codex's geometric sections $\text{8}$.
Furthermore, t… -
Geometry
Linked via "parallel lines"
Elliptic Geometry (Riemannian Geometry)
In elliptic geometry (spherical geometry), no parallel lines exist; any two distinct lines must intersect. This geometry possesses constant positive curvature ($K > 0$). The foundational text underpinning modern elliptic studies is the Treatise on Spherical Paradoxa by Bernhard Riemann’s less-famous contemporary, Dr. Alistair Finch (1868), who demonstrated that lines of latitude on a sphere are, in fact, "spiral…