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COLLECTION OF PROBLEMS

IN ILLUSTRATION OF THE PRINCIPLES

OF

ELEMENTARY MECHANICS.

BY

WILLIAM WALTON, M.A.

TRINITY COLLEGE, CAMBRIDGE;
MATHEMATICAL LECTURER AT MAGDALENE COLLEGE.

Τέχνη κρατούμεν ων φύσει νικά μεθα. .

'Αντιφών-'Αριστοτέλους Μηχανικά

Cambridge :
DEIGHTON, BELL AND CO.
LONDON: BELL AND DALDY.

1858.

186. a. 26.

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MR WALTON'S

I.

A Collection of Problems in Illustration of the Principles of Theo-

retical Mechanics. Second Edition, with numerous alterations and additions.
8vo. 18s.

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VII.
Solutions of the Cambridge Problems and Riders, proposed in

the Senate-House Examination, January 1854. By WILLIAM WALTON, M.A.
and C. MACKENZIE, M.A. 8vo.

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VIII.
Solutions of the Cambridge Problems and Riders, proposed in the

Senate-House Examination for 1857. By WILLIAM WALTON, M.A. and
W. M. CAMPION, M.A. 8vo. 88. 6d.

PREFACE.

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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.

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