TREATISE

ON

ALGEBRA.
NEW YORK
PUBLIC

BY ELIAS LOOMIS, LL.D.,

PROFESSOR OF MATHEMATICS AND NATURAL PHILOSOPHY IN THE UNIVERSITY OF THE
CITY OF NEW YORK, MEMBER OF THE AMERICAN PHILOSOPHICAL SOCIETY,

OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES, AND
AUTHOR OF "A COURSE OF MATHEMATICS."

TWELFTH EDITION.

NEW YORK:

HARPER & BROTHERS, PUBLISHERS,

829 & 381 PEARL STREET,

FRANKLIN SQUARE.

1855.

PUBLIC LIBRARY
478541

ASTOR, LENOX AND
TILDEN FOUNDATIONS.

1909

MEM AOKK

Entered, according to Act of Congress, in the year one thousand eight hundred and forty-seven, by

HARPER & BROTHERS,

in the Clerk's Office of the District Court of the Southern District of New York.