Adams's New Arithmetic

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,

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application of these to the succeeding rules; and, besides, will serve to interest him in the science, since he will find himself able, by the application of a very few principles, to solve many curious questions.

The arrangement of the subjects is that, which to the author has appeared most natural, and may be seen by the Index. Fractions have received all that consideration which their importance demands. The principles of a rule called Practice are exhibited, but its detail of cases is omitted, as unnecessary since the adoption and general use of federal money. The Rule of Three, or Proportion, is retained, and the solution of questions involving the principles of proportion, by analysis, is distinctly shown.

The articles Alligation, Arithmetical and Geometrical Progression, Annuities and Permutation, were prepared by Mr. IRA YOUNG, a member of Dartmouth College, from whose knowledge of the subject, and experience in teaching, I have derived important aid in other parts of the work.

The numerical paragraphs are chiefly for the purpose of reference these references the pupil should not be allowed to neglect. His attention also ought to be particularly directed, by his instructer, to the illustration of each particular principle, from which general rules are deduced: for this purpose, recitations by classes ought to be institute in every school where arithmetic is taught.

The supplements to the rules, and the geometrical demonstrations of the extraction of the square and cube roots, are the only traits of the old work preserved in the new.

Mont Vernon, (N. H.) `Sept. 29, 1827.

DANIEL ADAMS.