Geometrical Researches on the Theory of Parallels

Lobachevsky believed that another form of geometry existed a non-Euclidean geometry and this 1840 treatise is his argument on its behalf. Line by line in this classic work he carefully presents a new and revolutionary theory of parallels one that allows for all of Euclid¿s axioms except for the last. This 1891 translation includes a bibliography and translator George B. Halsted¿s essay on elliptic geometry. Russian mathematician NICHOLAS LOBACHEVSKY (1792¿1856) is best remembered as the founder (along with Janos Bolyai) of non-Euclidean geometry. He is also the author of New Foundations of Geometry (1835¿1838) and Pangeometry (1855).