Geometrical Researches on the Theory of Parallels

Download or read book Geometrical Researches on the Theory of Parallels written by Nicholas Lobachevsky and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 Euclids axioms, except for the last. This 1891 translation includes a bibliography and translator George B. Halsteds essay on elliptic geometry. Russian mathematician NICHOLAS LOBACHEVSKY (17921856) is best remembered as the founder (along with Janos Bolyai) of non-Euclidean geometry. He is also the author of New Foundations of Geometry (18351838) and Pangeometry (1855)."