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PROFESSOR OF MATHEMATICS AND NATURAL PHILOSOPHY IN THE UNIVERSITY OF THE CITY

OF NEW YORK, AND AUTHOR OF A "COURSE OF MATHEMATICS."

FIFTEENTH EDITION.

NEW YORK:
HARPER & BROTHERS, PUBLISHERS,

329 & 331 PEARL STREET,

(FRANKLIN SQUARE.)

283068

1903

Entered, according to Act of Congress, in the year 1858, ht

ELIAS Loomis,

In the Clerk's Office of the Southern District of New York

TO THE

HON THEODORE FRELINGHUYSEN, LLD

CHANCELLOR OF THE UNIVERSITY OF THE CITY OF NEW YORK

THE FRIEND OF EDUCATION, THE PATRIOT STATESMAN,

AND THE CHRISTIAN PHILANTHROPIST,

This UV ork

IS RESPECTFULLY DEDICATED

BY

THE AUTHOR

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