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Encyclopedia of Scientific Principles, Laws, and Theories Volume 2: L–Z Robert E. Krebs Illustrations by Rae Dejur
Library of Congress Cataloging-in-Publication Data Krebs, Robert E., 1922– Encyclopedia of scientific principles, laws, and theories / Robert E. Krebs ; illustrations by Rae Dejur. p. cm. Includes bibliographical references and index. ISBN: 978-0-313-34005-5 (set : alk. paper) ISBN: 978-0-313-34006-2 (vol. 1 : alk. paper) ISBN: 978-0-313-34007-9 (vol. 2 : alk. paper) 1. Science—Encyclopedias. 2. Science—History—Encyclopedias. 3. Physical laws— Encyclopedias. I. Title. Q121.K74 2008 503—dc22 2008002345 British Library Cataloguing in Publication Data is available. Copyright C 2008 by Robert E. Krebs All rights reserved. No portion of this book may be reproduced, by any process or technique, without the express written consent of the publisher. Library of Congress Catalog Card Number: 2008002345 ISBN: 978-0-313-34005-5 (set) 978-0-313-34006-2 (vol. 1) 978-0-313-34007-9 (vol. 2) First published in 2008 Greenwood Press, 88 Post Road West, Westport, CT 06881 An imprint of Greenwood Publishing Group, Inc. www.greenwood.com Printed in the United States of America
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L LAGRANGE’S MATHEMATICAL THEOREMS: Mathematics: Comte Joseph-Louis Lagrange (1736–1813), France. Lagrange’s theory of algebraic equations: Cubic and quartic equations can be solved algebraically without using geometry. Lagrange was able to solve cubic and quartic (fourth power) equations without the aid of geometry, but not fifth-degree (quintic) equations. Fifth-degree equations were studied for the next few decades before they were proved insoluble by algebraic means. Lagrange’s work led to the theory of permutations and