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AN

ELEMENTARY TREATISE

ON

ARITHMETIC,

TAKEN

PRINCIPALLY FROM THE ARITHMETIC

OF

S. F. LACROIX,

· AND

TRANSLATED INTO ENGLISH WITH SUCH ALTERATIONS AND

ADDITIONS AS WERE FOUND NECESSARY IN ORDER TO

ADAPT IT TO THE USE OF THE

AMERICAN STUDENT.

Second edition, revised and corrected.

CAMBRIDGE, N. E.

PRINTED BY HILLIARD AND METCALF, AT THE UNIVERSITY PRESS.
Sold by W. Hilliard, Cambridge, and by Cummings & rd,

No. 1 Cornbill, Boston.

1821.

DISTRICT OF MASSACHUSETTS, TO WIT:

District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of August, A. D. 1818, and in the forty-third year of the Independence of the United States of America, Cummings & Hiiliard of the said district have deposited in this office the title of a book, the right whereof they claim as Proprietors, in the words following, viz.

“An elementary treatise on Arithmetic, taken principally from the arithmetic of S. F. Lacroix, and translated into English with such alterations and additions as were found necessary in order to adapt it to the use of the American student."

In conformity to the Act of the Congress of the United States, entitled, “ An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned;" and also to an act, entitled, * An act, supplementary to an act, entitled, An act for the encouragement of learning, by securing the copies of maps, charts, and books to the authors and proprietors of such copies during the times therein mentioned; and extending the benefits thereot to the arts of designing, engraving, and etching historical and other prints."

JNO. W. DAVIS,
Clerk of the District of Massachusetts.

u L Elements ab. 7-24-36

ADVERTISEMENT.

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The first principles, as well as the more difficult parts of
Mathematics, have, it is thought, been more fully and clearly ex•
plained by the French elementary writers, than by the English ;
and among these, Lacroix has held a very distinguished place.
His treatises have been considered as the most complete, and the
best suited to those who are destined for a public education. They
have received the sanction of the government, and have been adopt-
ed in the principal schools, of France. The following translation is
from the thirteenth Paris edition. The original being written with
reference to the new system of weights and measures, in which
the different denominations proceed in a decimal ratio, it was
found necessary to make considerable alterations and additions, to
adapt it to the measures in use in the United States. The several
articles relating to the reduetion, addition, subtraction, multiplica-
tion, and division of compound numbers, have been written anew ;
a change has been made in many of the examples and questions,
and new ones have been introduced after most of the rules, as an
exercise for the learner.

JOHN FARRAR,
Professor of Mathematics and Natural Philoso-

phy in the University at Cambridge.
Cambridge, Aug. 1818.

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