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A COLLECTION

OF

PROBLEMS AND EXAMPLES,

ADAPTED TO THE

“ELEMENTARY COURSE OF MATHEMATICS."

WITH

AN APPENDIX,

CONTAINING THE

QUESTIONS PROPOSED DURING THE FIRST THREE DAYS
OF THE SENATE-HOUSE EXAMINATIONS IN THE

YEARS 1848, 1849, 1850, AND 1851.

BY THE

REV. HARVEY GOODWIN, M. A.,

LATE FELLOW AND MATHEMATICAL LECTURER

OF GONVILLE AND CAIUS COLLEGE.

SECOND EDITION,

CAMBRIDGE: JOHN DEIGHTON.
LONDON : SIMPKIN, MARSHALL & CO., AND GEORGE BELL.

LIVERPOOL: DEIGHTON & LAUGHTON.

M.DCCC.LI.

[graphic][merged small]

Guli.

Library gland state College

3-7-194

PREFACE TO THE FIRST EDITION.

The following pages contain a collection of Problems and Examples adapted to my “Elementary Course of Mathematics.” The questions have, for the most part, been collected from Papers which have been set in the Senate-House or in College Examinations; some have been taken from various Collections which have been published in Cambridge and elsewhere at different times; and the remainder I have myself supplied. I have compiled, rather than invented, as much as the circumstances of the case allowed, not only for the purpose of saving my own labour, but because the questions are more likely to be diverse in kind, and therefore more generally illustrative of the subject to which they belong, when supplied from a variety of sources.

The subjects upon which Problems and Examples will be found in this book are, Algebra, Trigonometry, Statics, Dynamics, Hydrostatics, and Optics. Of the three other subjects which are treated in of Mathematics, namely, Conic Sections, the first three Sections of the Principia, and Astronomy, I have given no illustrations, for the following reasons. I considered that the geometrical method of treating the Conic Sections was re-introduced into the University principally, if not entirely, as an introduction to Newton's geometrical method of treating Mechanics, and that this end was answered if the student perfectly mastered

my Course

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