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ARITHMETIC,

IN WHICH THE

PRINCIPLES OF OPERATING BY NUMBERS

ARE

ANALYTICALLY EXPLAINED,

AND

SYNTHETICALLY APPLIED;

THUS

COMBINING THE ADVANTAGES

TO BE DERIVED BOTH FROM

THE INDUCTIVE AND SYNTHETIC MODE OF INSTRUCTING:

THE WHOLE

MADE FAMILIAR BY A GREAT VARIETY OF USEFUL AND INTER
ESTING EXAMPLES, CALCULATED AT ONCE TO ENGAGE
THE PUPIL IN THE STUDY, AND TO GIVE HIM A
FULL KNOWLEDGE OF FIGURES IN THEIR
APPLICATION TO ALL THE PRAC-
TICAL PURPOSES OF

LIFE.

DESIGNED FOR THE USE OF

SCHOOLS AND ACADEMIES

IN THE UNITED STATES.

BY DANIEL ADAMS, M. D.

AUTHOR OF THE SCHOLAR's arithmetIC, SCHOOL GEOGRAPHY, &a

KEENE, N. H.

PUBLISHED BY J. & J. W PRENTISS.

1839.

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Be it remembered, That on the eighteenth day of September, A. D. 1827. in the fifty second year of the Independence of the United States of America, Daniel Adams of said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit:

"Arithmetic, in which the Principles of operating by Numbers are analytically explained, and synthetically applied: thus combining the Advantages to be derived both from the inductive and synthetic Mode of instructing: the whole made familiar by a great Variety of useful and interesting Examples, calculated at once to engage the Pupil in the Study, and to give him a full Knowledge of Figures in their Application to all the practical Purposes of Life. Designed for the Use of Schools and Academies in the United States. By Daniel Adams. M. D. Author of the Scholar's Arithmetic, School Geography, &c."

In conformity to the act of 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 for the encouragement of learning. by securing the copies and maps, charts, and Books, to the authors and proprietors of such copies during the times therein mentioned; and extending the benefits thereof to the arts of designing, engraving and etching historical and other prints."

CHARLES W. CUTTER,

Clerk of the District of New-Hampshire.

A true copy:

Attest, C. W. CUTTER, Clerk.

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