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PROFESSOR OF MATHEMATICS AND NATURAL PHILOSOPHY IN THE UNIVERSITY OF THE CITY
OF NEW YORK, AND AUTHOR OF A "TREATISE ON ALGEBRA" AND "ELEMENTS

OF PLANE AND SPHERICAL TRIGONOMETRY."

NEW YORK:

HARPER & BROTHERS, PUBLISHERS,

82 CLIFF STREET.

1849.

HARD COLLEGE

EdueT 148. 49.530

Jan 18, 1928

LURABY

7.P. tabeus

Entered, according to Act of Congress, in the year one thousand

eight hundred and forty-seven, by

Elias LOOMIS,

in the Clerk's Office of the District Court of the Southern District

of New York.

TO THE

HON. THEODORE FRELINGHUYSEN, LL.D.,

CHANCELLOR OF THE UNIVERSITY OF THE CITY OF NEW YORK,

THE FRIEND OF EDUCATION, THE PATRIOT STATESMAN,

AND THE CHRISTIAN PHILANTHROPIST,

This du ork

IS RESPECTFULLY DEDICATED

BY

THE AUTHOR.

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