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Printed by James Ballantyne and Co.

FOR BROWN AND CROMBIE, AND JOHN BALLANTYNE
AND CO. EDINBURGH; AND LONGMAN, HURST, REES, and orme,
J. MURRAY, R. SCHOLEY, AND J. MAWMAN, LON-

DON; AND J. DEIGHTON, CAMBRIDGE.

MEM AOBK

PREFACE.

THE volume now laid before the public, is the first of a projected Course of Mathematical Science. Many compendiums or elementary treatises have appeared at different times, and of various merit; but there was still wanting in our language, a work that should embrace the subject in its full extent,that should unite theory with practice, and connect the ancient with the modern discoveries. The magnitude and difficulty of such a task. might deter an individual from the attempt, if he were not deeply impressed with the importance of the undertaking, and felt his exertions to accomplish it animated by zeal and supported by active perseverance.

The study of Mathematics holds forth two capital objects :-While it traces the beautiful rela

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