AMS Chelsea Publishing 1986; 255 pp; hardcover ISBN10: 0828402892 ISBN13: 9780828402897 List Price: US$39 Member Price: US$35.10 Order Code: CHEL/289
 "In this book Girolamo Saccheri set forth in 1733, for the first time ever, what amounts to the axiom systems of nonEuclidean geometry. It is in this book that, for the first time in history, theorem after theorem of (hyperbolic) nonEuclidean geometry is stated and proved. Whyone cannot help askingdid Saccheri not evaluate correctly what he had achieved, why did he not claim credit for the discovery of nonEuclidean geometry? ... The main content of the Notes are a series of annotations to Saccheri's text by the eminent scholars Paul Stäckel and Friedrich Engel. These annotations originally appeared as footnotes to these authors' German translation of Euclides Vindicatus and were, with some modifications, translated into English by F. Steinhardt." from the Preface to the Second English Edition Table of Contents  Introduction
 Saccheri's titlepage
 Preface to the reader
 In place of an index
Part I Part II  Propositions XXXIVXXXIX
 Notes
 Translator's subject index
