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5131

A COLLECTION

OF

EXAMPLES AND PROBLEMS

IN

PURE AND MIXED

MATHEMATICS,

WITH

ANSWERS AND OCCASIONAL HINTS.

BY

THE REV. ALFRED WRIGLEY, M.A., F.R.A.S. &c.,

OF ST. JOHN'S COLLEGE, CAMBRIDGE;

FIRST ASSISTANT PROFESSOR OF MATHEMATICS AND CLASSICS IN THE
LATE ROYAL INDIAN MILITARY COLLEGE, ADDISCOMBE.

SIXTH EDITION.—CORRECTED.

e

LONDON:

LONGMAN, BROWN, GREEN, LONGMANS, AND ROBERTS.

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PREFACE

ΤΟ

THE FOURTH EDITION.

IN preparing this Edition, many additional Examples and Problems have been inserted in the Arithmetic, Theory of Equations, Geometry, Mensuration, Application of Algebra to Geometry and Conic Sections. The present arrangement, and order of questions, it is intended to retain in any future Edition.

It has been deemed expedient to omit examples in the elementary processes of the Differential and Integral Calculus, leaving those problems in Mixed Mathematics, which require the higher calculus, to suffice for that subject.

All the Examples and Problems, in which Logarithms may conveniently be used, have been solved with the

aid of tables, in which the logarithms consist of six figures. The Logarithmic Tables here used, were edited by the Rev. J. Cape, M.A., &c., Professor of Mathematics and Classics in the East India Company's Military College, Addiscombe.

As in many calculations, logarithms are used rather for convenience than from necessity, the answers obtained will slightly vary, (1) according as logarithms are used or not, (2) according as the tabulated logarithm consists of five, six, or seven figures, more or less, and (3) according to the extent of the use made of 'proportional parts.' This variation is generally very small, and an indication of the cause of it will be sufficient to explain the disparity between the answers to some questions obtained on different occasions or by different persons.

Great assistance has been derived from Barlow's Tables of Squares, Cubes, Square Roots, &c., edited by Professor De Morgan, 1840.

November 15, 1857.

ADVERTISEMENT.

The Sixth Edition is a reprint of the Fifth corrected.

January 1862.

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