Mathematizing Space The Objects of Geometry from Antiquity to the Ea

This book brings together papers of the conference on 'Space, Geometry and the Imagination from Antiquity to the Modern Age' held in Berlin, Germany, 27-29 August 2012. Focusing on the interconnections between the history of geometry and the philosophy of

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Vincenzo De Risi Editor

Mathematizing Space The Objects of Geometry from Antiquity to the Early Modern Age

Trends in the History of Science Trends in the History of Science is a series devoted to the publication of volumes arising from workshops and conferences in all areas of current research in the history of science, primarily with a focus on the history of mathematics, physics, and their applications. Its aim is to make current developments available to the community as rapidly as possible without compromising quality, and to archive those developments for reference purposes. Proposals for volumes can be submitted using the online book project submission form at our website www.birkhauserscience.com.

More information about this series at http://www.springer.com/series/11668

Vincenzo De Risi Editor

Mathematizing Space The Objects of Geometry from Antiquity to the Early Modern Age

Editor Vincenzo De Risi History of Science Max Planck Institute Berlin Germany

ISSN 2297-2951 Trends in the History of Science ISBN 978-3-319-12101-7 DOI 10.1007/978-3-319-12102-4

ISSN 2297-296X

(electronic)

ISBN 978-3-319-12102-4

(eBook)

Library of Congress Control Number: 2014957136 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.birkhauser-science.com)

Foreword

The present book collects the essays presented at the conference on Space, Geometry and the Imagination from Antiquity to the Early Modern Age, jointly organized by the Max Planck Institute for the History of Science (Berlin) and the Centro Matematico ‘Ennio De Giorgi’ of the Scuola Normale Superiore (Pisa), and hosted by the Max Planck Institute in August 27–29, 2012. The conference was part of the activities of the MPI Research Group on Modern Geometry and Space, directed by Vincenzo De Risi.