Geometrical Researches On The Theory Of Parallels

Geometrical Researches On The Theory Of Parallels is a book written by Nicholas Lobachevski, a Russian mathematician, in 1840. The book presents Lobachevski's groundbreaking work on non-Euclidean geometry and his theory of parallels. Lobachevski challenges Euclid's fifth postulate, which states that through a point not on a line, there is only one line parallel to the original line. Lobachevski demonstrates that there can be multiple parallel lines through a point not on the original line, leading to a new type of geometry. The book includes numerous geometric proofs and illustrations to support Lobachevski's arguments. Geometrical Researches On The Theory Of Parallels is considered a seminal work in the history of mathematics and a significant contribution to the development of non-Euclidean geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.