The Geometry of an Art The History of the Mathematical Theory of Per

This monograph describes how the understanding of the geometry behind perspective evolved between the years 1435 and 1800 and how new insights within the mathematical theory of perspective influenced the way the discipline was presented in textbooks. In o

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Editorial Board

IZ. Buchwald I Liitzen I Hogendijk Advisory Board

P.I Davis T. Hawkins A.E. Shapiro D. Whiteside

Sources and Studies in the History of Mathematics and Physical Sciences K. Andersen Brook Taylor's Work on Linear Perspective H.IM. Bos Redefming Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction I Cannon/So Dostrowsky The Evolution of Dynamics: Vibration Theory From 1687 to 1742 B. ChandlerlW. Magnus The History of Combinatorial Group Theory

AI. Dale History of Inverse Probability: From Thomas Bayes to Karl Pearson, Second Edition AI. Dale Pierre-Simon de Laplace, Philosophical Essay on Probabilities, Translated from the fifth French edition of 1825, with Notes by the Translator

A Dale Most Honourable Remembrance: The Life and Work of Thomas Bayes P.I Federico Descartes On Polyhedra: A Study of the De Solidorum Elementa B.R. Goldstein The Astronomy of Levi Ben Gerson (1288-1344) H.H. Goldstine A History of Numerical Analysis from the 16th Through the 19th Century H.H. Goldstine A History of the Calculus of Variations From the 17th Through the 19th Century G. GraBhoff The History of Ptolemy's Star Catalogue

A HermannlK. von Meyennfv.F. Weisskopf (Eds.) Wolfgang Pauli: Scientific Correspondence I: 1919-1929 A HermannlK. von Meyennfv.F. Weisskopf (Eds.) Wolfgang Pauli: Scientific Correspondence IT: 1930-1939 C.C. Heyde/E. Seneta, I.J. Bienayme: Statistical Theory Anticipated IP. Hogendijk Ibn A1-Haytham's Completion of the Conics I H0yrup Length, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin A. Jones Pappus of Alexandria, Book 7 of the Collection Continued after the lIIustration Credits

Kirsti Andersen

The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to Monge

~ Springer

Kirsti Andersen Department of History of Science The Steno Institute University of Aarhus Denmark

Sources and Series Editor: Jesper Liitzen Institute for Mathematical Sciences University of Copenhagen DK-2100 Copenhagen Denmark

Library of Congress Control Nnmber: 2005927076 ISBN 10: 0-387-25961-9 ISBN 13: 978-0387-25961-1 Printed on acid-free paper. © 2007 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. While the advice and information in this book are believed to be true and accurate at the date of going to press, nei