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COLLECTION OF PROBLEMS
IN ILLUSTRATION OF THE PRINCIPLES
WILLIAM WALTON, M.A.
TRINITY COLLEGE, CAMBRIDGE;
MATHEMATICAL LECTURER AT MAGDALENE COLLEGE.
Τέχνῃ κρατοῦμεν ὧν φύσει νικώμεθα.
DEIGHTON, BELL AND CO.
LONDON: BELL AND DALDY.
186. a. 26.
Solutions of the Cambridge Problems and Riders, proposed in
Solutions of the Cambridge Problems and Riders, proposed in the
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