A COLLECTION OF PROBLEMS IN ILLUSTRATION OF THE PRINCIPLES OF ELEMENTARY MECHANICS. BY WILLIAM WALTON, M.A. TRINITY COLLEGE, CAMBRIDGE; MATHEMATICAL LECTURER AT MAGDALENE COLLEGE. Τέχνῃ κρατοῦμεν ὧν φύσει νικώμεθα. *Αντιφῶν-Αριστοτέλους Μηχανικά Cambridge: DEIGHTON, BELL AND CO. LONDON: BELL AND DALDY. 1858. 186. a. 26. MR WALTON'S A Collection of Problems in Illustration of the Principles of Theo- retical Mechanics. Second Edition, with numerous alterations and additions. 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. Trinity College. 8vo. 188. 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. VII. Solutions of the Cambridge Problems and Riders, proposed in VIII. Solutions of the Cambridge Problems and Riders, proposed in the PREFACE. IN the composition of this work, my object has been to arrange in a systematic form a Collection of Mechanical Problems for the use of the higher Schools and Various Colleges of this Country, and especially for the service of those members of the University of Cambridge who are engaged in the study of the Elementary course of Mechanics, with which Candidates for Honours are expected to be familiar in the first three Days of the Examination for the Mathematical Tripos. In the Schedule of the subjects, as fixed by the Grace of the Senate for the regulation of the Examination of the Candidates during these three days, the range of Mechanical reading is limited to the following branches:— "The elementary parts of Statics, treated without the Differential Calculus; namely, the Composition and Resolution of Forces acting in one plane on a point, the Mechanical Powers, and the Properties of the Centre of Gravity.” "The Elementary parts of Dynamics, treated without the Differential Calculus; namely, the Doctrine of Uniform and Uniformly accelerated Motion, of falling Bodies, Projectiles, Collision, and Cycloidal Oscillations." The whole number of propositions in Elementary Mechanics, as implied in these extracts from the Schedule, are certainly far from numerous: indeed any sensible student, acquainted with the rudiments of Geometry, Algebra, and Trigonometry, might, in a very short time, acquire so rational a comprehension of the truth of the demonstrations, as to be able to pass a W. S. a |