Chicago: The Open Court Publishing Company, 1912. – 268 p.
Authorised English translation with additional appendices by H. Carslaw with an introduction by F. Enriques.
Translator’s Preface
Author’s Preface
The Attempts to prove Euclid’s Parallel Postulate.
The Forerunners of Non-Euclidean Geometry
The Founders of Non-Euclidean Geometry
The Founders of Non-Euclidean Geometry (Cont)
The Later Development of Non-Euclidean Geometry
Differential Geometry and Non-Euclidean Geometry.
The Fundamental Principles of Statics and Euclid’s Postulate.
Clifford’s Parallels and Surface. Sketch of Clifford-Klein’s Problem.
The Non-Euclidean Parallel Construction and other Allied Constructions
The Independence of Projective Geometry from Euclid’s Postulate.
The Impossibility of proving Euclid’s Postulate
An Elementary Demonstration of this Impossibility founded upon the Properties of the System of Circles orthogonal to a Fixed Circle
Index of Authors