Leibniz on the Parallel Postulate and the Foundations of Geometry Th

This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulat

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Vincenzo De Risi

Leibniz on the Parallel Postulate and the Foundations of Geometry The Unpublished Manuscripts

Science Networks. Historical Studies

Science Networks. Historical Studies Founded by Erwin Hiebert and Hans Wußing Volume 51 Edited by Eberhard Knobloch, Helge Kragh and Volker Remmert

Editorial Board: K. Andersen, Amsterdam H.J.M. Bos, Amsterdam U. Bottazzini, Roma J.Z. Buchwald, Pasadena K. Chemla, Paris S.S. Demidov, Moskva M. Folkerts, München P. Galison, Cambridge, Mass. J. Gray, Milton Keynes

R. Halleux, Liége D. Kormos Buchwald, Pasadena Ch. Meinel, Regensburg J. Peiffer, Paris W. Purkert, Bonn D. Rowe, Mainz Ch. Sasaki, Tokyo R.H. Stuewer, Minneapolis V.P. Vizgin, Moskva

More information about this series at http://www.birkhauser-science.com/series/4883

Vincenzo De Risi

Leibniz on the Parallel Postulate and the Foundations of Geometry The Unpublished Manuscripts

Vincenzo De Risi MPI for the History of Science Berlin, Germany

ISSN 1421-6329          ISSN 2296-6080 (electronic) Science Networks. Historical Studies ISBN 978-3-319-19862-0   ISBN 978-3-319-19863-7 (eBook) DOI 10.1007/978-3-319-19863-7 Library of Congress Control Number: 2015960187

Mathematics Subject Classification 2010: 01-02, 01A45, 01A50, 02-03, 51-03 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Cover illustration: From Waller Ms de-00215, August Beer: Über die Correction des Cosinusgesetzes bei der Anwendung des Nicol’schen Prismas in der Photometrie, after 1850. With friendly permission by The Waller Manuscript Collection (part of the Uppsala University Library Collections). Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+BusinessMedia (www.birkhauser-science.com)

Foreword

In this book, I provide an edition of Leibniz’ writings on the theory of parallels, which include several attempts to prove the Parallel Postul