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COLLECTION OF EXAMPLES

IN

PURE AND MIXED

MATHEMATICS,

WITH

HINTS AND ANSWERS.

BY

ALFRED WRIGLEY, M.A., M.D., F.R.A.S.

AND

WILLIAM H. JOHNSTONE, M.A.

LATE SCHOLARS OF ST. JOHN'S COLLEGE, CAMBRIDGE, AND MATHEMATICAL
MASTERS IN THE HONOURABLE EAST INDIA COMPANY'S

MILITARY SEMINARY, ADDISCOMBE.

LONDON:

LONGMAN, BROWN, GREEN, AND LONGMANS,

PATERNOSTER ROW.

1845.

PRINTED BY RICHARD AND JOHN E. TAYLOR,

RED LION COURT, FLEET STREET.

BIBLI

ADVERTISEMENT.

A DEFICIENCY in Examples illustrative of the different branches of Mathematical Science has long been felt both by Pupils and Tutors. Elementary Works usually contain collections of Examples; but these are generally too limited in number and variety.

The whole course of Mathematics read by Undergraduates in Cambridge will define the scope of the proposed Work. Every subject will be separately illustrated by a copious collection of appropriate Examples. One volume it is hoped will comprise the whole. The present part contains Examples in Arithmetic, Algebra, Logarithms, Geometry, Plane Trigonometry, Mensuration, Conic Sections (or Analytical Geometry of two Dimensions), and such Problems in Mechanics as do not depend for their solution on the Differential and Integral Calculus.

Every problem-question has its answer annexed. In order to ensure accuracy in this particular, every problem solved by one of the Authors has been carefully

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