to Robotics In collaboration with Milan Djurovic, Dragan Hristic, Branko Karan, Manja Kireanski, N enad Kireanski, Dragan Stokic, Dragoljub Vujic, Vesna Zivkovic With 228 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo 1989 .. Miomir Vukobratovic, Ph. D., D. Sc. Milan Djurovic B. Sc. Dragan Hristic Ph.D. Branko Karan B. Sc. Manja Kircanski Ph.D. Nenad Kireanski Ph.D. Dragan Stokic Ph.D. Dragoljub Vujic Ph.D. Vesna Zivkovic Ph.D. Institute Mibajlo Pupin YU-llOOO Beograd Based on the original Uvod u Robotiku published by Institute Mibajlo Pupin, Beograd, Yugoslavia, 1986. ISBN -13: 978-3-642-82999-4 e-ISBN -13: 978-3-642-82997-0 DOl: 10.1007/978-3-642-82997-0 Library of Congress Cataloging-in-Publication Data Vukobratovic, Miomir. Introduction to robotics. Translation of: Uvod u robotiku. Includes index. 1. Robotics. 1. Title. TJ211.V86131988 629.8'92 88-10307 ISBN-i3:978-3-642-82999-4 (U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustration, recitation, broadcasting, reproduction on microfilms or in other ways. and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9,1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.