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Geometrical Researches On The Theory Of Parallels is a mathematical treatise written by the Russian mathematician Nicholas Lobachevski in 1840. The book focuses on the theory of non-Euclidean geometry, particularly the concept of parallel lines. Lobachevski argues that parallel lines can intersect in a non-Euclidean space, which contradicts the traditional Euclidean geometry. The book presents a rigorous mathematical proof of this theory and its implications. Lobachevski's work on non-Euclidean geometry was groundbreaking at the time and influenced the development of modern mathematics and physics. This book is a must-read for anyone interested in the history of mathematics and the foundations of geometry.This Is A New Release Of The Original 1914 Edition.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.