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EXERCISES ON EUCLID

AND IN

MODERN GEOMETRY.

Cambridge:

PRINTED BY C. J. CLAY, M.A.

AT THE UNIVERSITY PRESS.

AND IN

MODERN GEOMETRY

FOR THE USE OF SCHOOLS, PRIVATE STUDENTS,

AND JUNIOR UNIVERSITY STUDENTS.

BY

J. MCDOWELL, M.A., F.R.A.S.,

PEMBROKE COLLEGE, CAMBRIDGE, AND TRINITY COLLEGE, DUBLIN.

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PREFACE.

THE present work is the result of an attempt to supply a want which has been long felt by teachers and students.

In it will be found a large collection of important propositions investigated after the manner of Euclid, which are valuable as Geometrical Exercises, and are often required in other branches of Mathematics.

The first half of the volume is confined to the Ancient Pure Geometry, and the remainder to the Modern Pure Geometry.

In the latter part will, I trust, be found a very elementary and, at the same time, a tolerably complete treatise on the Modern Geometry of the Point, Straight Line, and Circle. Indeed, throughout the work I have aimed at simplicity rather than originality or novelty, and I have been more anxious to illustrate principles than to throw together a crude and undigested mass of isolated propositions, which only tend to disgust a learner with Geometry.

M. G.

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