Non-Euclidean geometry

In 1870, William Kingdon Clifford, introducing the details of non-Euclidean geometry to the English, raised the question of "variation in the curvature of space," describing it as "analogous to little hills on the surface [of the Earth] which is on average flat," that "the ordinary laws of geometry are not valid in them[, and] that this property of being curved or distorted is continually being passed on from one portion of space to another after the manner of a wave" […].


In mathematics, non-Euclidean geometry is a small set of geometries based on axioms closely related to those specifying Euclidean geometry. In the writings of HPL, the concept is… somewhat larger.

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