Non-Euclidean Geometry

A topic within Geometry, itself one of 11 topics in that field and part of Mathematics.

Reading on Non-Euclidean Geometry

2 works

Essay1840

Geometrical Researches on the Theory of Parallels

Nikolai Lobachevsky

Develops a self-consistent geometry in which Euclid's parallel postulate fails, giving the first worked demonstration that a non-Euclidean geometry is logically possible.

50 pageslink checked 17 Sept 2026Notes on this copy

Mathematics · Geometry

FreeIntermediate

Book1912

Non-Euclidean Geometry: A Critical and Historical Study of its Development

Roberto Bonola

Traces two thousand years of failed attempts to prove the parallel postulate and shows that the failures were the discovery: the postulate is independent, so consistent geometries exist without it.

link checked 17 Sept 2026Notes on this copy

Mathematics · Geometry

FreeIntermediate

Reading on Non-Euclidean Geometry

Geometrical Researches on the Theory of Parallels

Non-Euclidean Geometry: A Critical and Historical Study of its Development

Other topics in Geometry