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LONGMANS, GREEN, AND CO.

39, PATERNOSTER ROW, LONDON

NEW YORK AND BOMBAY

GENERAL

PRINTED AT THE

UNIVERSITY

BY PONSONBY & WELDRICK

PREFACE.

THE present volume is intended to meet the wants

of those Students whose knowledge of Mathematics is limited to an acquaintance with the Elements of Euclid, Algebra, and Plane Trigonometry. In a few cases easy formulæ in Dynamics are introduced, but the articles containing these may, if necessary, be omitted without a breach in the continuity of the work.

Many of the examples have been selected from papers set to third and fourth year Students of Trinity College, Dublin; while a considerable number have been chosen with a view to assist those reading for Degrees in the London and Royal Universities.

The book forms, to some extent, a connecting link between the many popular works on Astronomy and more advanced treatises on the subject. The author, therefore, hopes that it may be found useful, not only by those for whom it has been specially

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written, but also by many others among the general public.

The author is much indebted to MR. PIERS WARD, M.A., LL.B., for his kind assistance in reading the proof-sheets.

13, TRINITY COLLEGE, DUBLIN,.

July 19th, 1894.

PREFACE

TO THE SECOND EDITION.

In this Second Edition the work has been carefully revised and some new matter added. The number of the examples has also been increased. The Author desires to express his thanks to several friends who have suggested many of the additions, and more especially to MR. RAYMOND WALTER A. SMITH (Sch.), B.A., to whom most of the corrections are due.

13, TRINITY COLLEGE, DUBLIN,

March 13th, 1900.

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