The unity of Euclidean geometry, destroyed by the discovery of the non-Euclidean worlds, is recomposed in the new Pre-Absolute Geometry Γ, subsuming the properties shared by the four geometries: Euclidean, hyperbolic, spherical, and elliptic. Once the four geometries have been created ex-novo, theory frees itself from them and shows its absolute independence. Drawing on the work of Euclid, the new geometry is easily accessible to students and teachers.
