BOLYAI, Johann. Absolute Geometrie ... Bearbeitet von Dr. J. Frischauf. [bound with] FRISCAUF: Elemente der Absoluten Geometrie.
Leipzig: B.G. Teubner, 1872/1876. First edition.

The rare first German edition of Bolyai’s Appendix Scientiam Spatii Absolute Veram exhibens, ‘the most extraordinary two dozen pages in the history of thought’ (Halsted), containing the independent foundation (along with Lobachevsky) of non-Euclidean geometry. (Halsted: Bibliography of Hyper-Space and Non-Euclidean Geometry, no. 35. Sommerville: Bibliography of Non-Euclidean Geometry, p.46). “Hoüel's labors must have urged J. Frischauf to perform the service for Germany which the former had rendered to France. His book - Absolute Geometrie nach J. Bolyai - (1872) is simply a free translation of Johann’s Appendix, to which were added the opinions of W. Bolyai on the Foundations of Geometry. A new and revised edition of Frischauf’s work was brought out in 1876 [the two works bound together here]. In that work reference is made to the writings of Lobatschewsky and the memoirs of other authors who about that time had taken up this study from a more advanced point of view. This volume remained for many years the only book in which these new doctrines upon space were brought together and compared.” (Bonola: Non-Euclidean Geometry, p.126).

Large 8vo: 232150 mm. The two works bound together in one contemporary quarter-calf and marbled boards (rebacked with the original spine laid on), paper label on upper cover, uncut and partially unopened. Scarce.