I. A TREATISE ON THE DIFFERENTIAL CALCULUS. By WILLIAM WALTON, M.A. 8vo. 10s. 6d. II. A COLLECTION OF PROBLEMS in Illustration of the principles of THEORETICAL HYDROSTATICS and HYDRODYNAMICS. By WILLIAM WALTON, M.A. 8vo. 10s. 6d. III. PROBLEMS in Illustration of the principles of PLANE CO-ORDINATE GEOMETRY. BY WILLIAM WALTON. M.A. 8vo. 16s. IV. A TREATISE ON THE APPLICATION OF ANALYSIS TO SOLID GEOMETRY, commenced by D. F. GREGORY, M.A., late Fellow and assistant Tutor of Trinity College; concluded by WILLIAM WALTON, M. A. Second Edition. 8vo. 128. V. EXAMPLES OF THE PROCESSES OF THE DIFFERENTIAL AND INTEGRAL CALCULUS, collected by D. F. GREGORY, M.A., late Fellow of Trinity College. Second Edition, edited by WILLIAM WALTON, M.A. 8vo. 18s. VI. SOLUTIONS OF THE CAMBRIDGE PROBLEMS AND RIDERS, proposed in the Senate-House Examination, January, 1854. By C. MACKENZIE, M.A., and WILLIAM WALTON, M.A. 8vo. 108. 6d. VII. SOLUTIONS OF THE CAMBRIDGE PROBLEMS AND RIDERS, proposed in the Senate-House Examination, for 1857. WILLIAM WALTON, M.A., and W. M. CAMPION, M.A. 8vo. 8s. 6d. VIII. By A COLLECTION OF PROBLEMS in illustration of the principles of ELEMENTARY MECHANICS. By WILLIAM WALTON, M.A. 8vo. 10s. 6d. IX. SOLUTIONS OF THE PROBLEMS AND RIDERS proposed in the Senate-House Examination, for 1864. By the Moderators, WILLIAM WALTON, and M. M. U. WILKINSON, and the Examiners, C. H. PAREZ and F. C. WACE. 10s. 6d. X. THE MATHEMATICAL AND OTHER WRITINGS OF ROBERT LESLIE ELLIS, M.A., late Fellow of Trinity College. Edited by WILLIAM WALTON, M.A.; with a BIOGRAPHICAL MEMOIR by The Very Reverend HARVEY GOODWIN, D.D., Dean of Ely (now Bishop of Carlisle). 8vo. 168. XI. THE MATHEMATICAL WRITINGS OF DUNCAN FARQUHARSON GREGORY, M.A., late Fellow of Trinity College, edited by WILLIAM WALTON, M.A., with a BIOGRAPHICAL MEMOIR by ROBERT LESLIE ELLIS, M.A., late Fellow of Trinity College. 8vo. 12s. A COLLECTION OF PROBLEMS IN ILLUSTRATION OF THE PRINCIPLES OF THEORETICAL MECHANICS BY WILLIAM WALTON, M.A. FELLOW AND ASSISTANT TUTOR OF TRINITY HALL, Examples give a quicker impression than arguments."-BACON. THIRD EDITION. CAMBRIDGE: DEIGHTON, BELL AND CO. LONDON: G. BELL AND SONS. PREFACE TO THE FIRST EDITION. THE design of this Work is to facilitate the study of Theoretical Mechanics, by presenting to the student a systematic collection of problems in illustration of the more important principles of the science. The want of any such treatise, it is believed, has been felt by many as a serious impediment to the acquisition of adequate ideas in this branch of mathematical philosophy. Much importance, it may be observed, was attached by the great discoverers of the mechanical theories to the full discussion of numerous problems, as will be evident from a reference to the works of the three Bernoullis, of Leibnitz, and of D'Alembert, and to the beautiful investigations scattered throughout so long a series of volumes of the St. Petersburgh Transactions by the liberal hand of Euler. The author of this volume has endeavoured, as much as possible, to direct the attention of the student to the original memoirs of which he has so largely availed himself. This he has done, partly, to enable the beginner to obtain more detailed information than is compatible with the nature of this work, on particular questions which may excite an interest in his mind: his chief object, however, has been, to offer every facility to those, who have already overcome at least the elementary difficulties of the subject, for acquiring a practical familiarity with the historical development of the science. Although it be admitted that useful and exact knowledge may be obtained from even an exclusive perusal of the concise and methodical treatises which are generally adopted for the purpose of academic instruction; yet it may be asserted with confidence, that an excessive adherence to such a system b W. S. |