Constructible numbers

In the previous chapters we have taken a look at some classical Greek geometric compass and straightedge construction problems. These constructions are a consequence of Euclid’s first three postulates:1. It is possible to draw a straight line between poin

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Ad Meskens Paul Tytgat

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Compact Textbooks in Mathematics

For further volumes: http://www.springer.com/series/11225

Compact Textbooks in Mathematics This textbook series presents concise introductions to current topics in mathematics and mainly addresses advanced undergraduates and master students. The concept is to offer small books covering subject matter equivalent to 2- or 3-hour lectures or seminars which are also suitable for self-study. The books provide students and teachers with new perspectives and novel approaches. They feature examples and exercises to illustrate key concepts and applications of the theoretical contents. The series also includes textbooks specifically speaking to the needs of students from other disciplines such as physics, computer science, engineering, life sciences, finance.

Ad Meskens Paul Tytgat

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Ad Meskens Department of Education and Training Artesis Plantijn University College Antwerpen, Belgium

Paul Tytgat Antwerpen, Belgium

ISSN 2296-4568 Compact Textbooks in Mathematics ISBN 978-3-319-42862-8 ISBN 978-3-319-42863-5 (eBook) DOI 10.1007/978-3-319-42863-5 Library of Congress Control Number: 2017931078 Mathematics Subject Classification (2010): 51-01, 51-03, 01A05, 1A20, 97G40 Birkhäuser © Springer International Publishing Switzerland 2017 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 design: deblik, Berlin Printed on acid-free paper This book is published under the trade name Birkhäuser The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

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Preface This book has been ten odd years in the making. Its first inception was a lecture which I was asked to give at a refresher course for mathematics teachers. The text evolved into a little booklet for the Dutch Zebra series (Eps