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ELEMENTARY DYNAMICS.

Cambridge: PRINTED BY C. J. CLAY, M.A. AT THE UNIVERSITY PRESS.

ON

ELEMENTARY DYNAMICS,

FOR THE USE OF

Colleges and Schools,

BY

WILLIAM GARNETT, B.A.

(LATE WHITWORTH SCHOLAR,)
FELLOW OF ST JOHN'S COLLEGE, AND DEMONSTRATOR OF

PHYSICS IN THE UNIVERSITY OF CAMBRIDGE.

CAMBRIDGE:
DEIGHTON, BELL AND CO.
LONDON: GEORGE BELL AND SONS.

1875

1876, Oct. 17.

Bought with the . - Gitt of

Prof. Asaph" Hall, of the U.S. Naval Observatory,

Washington.

PREFACE.

THE following Treatise is intended as a text-book on Elementary Dynamics for the first three days' examination in the Mathematical Tripos, the London University Examinations, the Indian Civil Service, and other Government Examinations, including those of the Science and Art Department. No reference is made throughout the work to the methods of Coordinate Geometry or of the Differential and Integral Calculus.

Most of the Examples at the end of each Chapter have been selected from those recently set in the University and College Examinations at Cambridge, especially from the examination papers of St John's College, though many of the questions having a practical bearing have been prepared specially for this work. A large proportion of the Miscellaneous Examples at the end of Chapter VI. have been taken from Tripos papers.

The consideration of the dimensions of units has not been introduced into the first Chapter, because it is very important for the student to be able to solve all questions relating to the change of units by help of the definitions only, and, until he is able to do this, experience shews, that an introduction to the method of solution by the consideration of dimensions only leads to confusion.

For some time past Mathematicians have been returning to the laws of motion as enunciated by Newton, and questions in the Mathematical Tripos during the last few years have invariably referred to this mode of stating them. The

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