Lobachevsky presents non-Euclidean geometry

Background. Lobachevsky's main achievement was the development, independently from János Bolyai, of a non-Euclidean geometry, also referred to as Lobachevskian geometry. Although Gauss, Lobachevsky and Bolyai can be credited with the discovery of hyperbolic geometry, Gauss never published his ideas, and Lobachevsky was the first to present his views to the world mathematical community.

Presentation at Kazan. On 23 February 1826, Lobachevsky reported his findings to the session of the department of physics and mathematics at Kazan University. This presentation preceded the printing of his work in 'Kazan University Course Notes' between 1829 and 1830. The event established his priority in presenting non-Euclidean geometry to the world, distinct from later publication dates.

Kazan University Context. Lobachevsky attended Kazan University, founded in 1804, and later served as its rector from 1827 to 1846. The university, located in Kazan, Russia, was the setting for his academic career. The presentation occurred within this institutional framework, which supported his administrative and mathematical work during the 1820s.