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Stoddard's Mental Exercises.

THE

AMERICAN

INTELLECTUAL ARITHMETIC,

DESIGNED FOR THE USE

OF

SCHOOLS AND ACADEMIES;

CONTAINING

AN EXTENSIVE COLLECTION OF PRACTICAL QUESTIONS, WITH CON-

CISE AND ORIGINAL METHODS OF SOLUTION, WHICH SIMPLIFY

MANY OF THE MOST IMPORTANT RULES IN
WRITTEN ARITHMETIC.

BY JOHN F. STODDARD,

PRINCIPAL OF THE

LIBERTY NORMAL INSTITUTE,
AND GRADUATE OF THE NEW YORK
STATE NORMAL SCHOOL.

NEW YORK:

PUBLISHED BY NAFIS & CORNISH.

ST. LOUIS, Mo.: VAN DIEN & McDONALD.

1849.

MANIARDEZILYO ELUCRARY
1876, Feb. 7.
Gift of
Samil A. Green, M.D.,
of Boston.
H. U.1851.)

Entered according to an Act of Congress, in the year 1349, by JOHN F. STODDARD,

In the Clerk's Office of the District Court of the United States, for the Southern District of New York.

HARVARD
UNIVERSITY
LIBRARY

047+173

mm

wwww

J. J. Reed, Printer, 16 Spruce-st.

PREFACE.

IN presenting the following work to the public, I have been prompted by no desire of pecuniary gain, or wish to appear in the capacity of an author. But having felt the necessity of a more extended, and more systematically arranged work on the subject, for the benefit of younger as well as older and more advanced pupils ;-and, by using it in manuscript form, in my own school, for a number of years, having observed the superior mental training to be derived from its study, and the ease with which it enabled pupils to comprehend the more advanced branches of mathematics, I offer it to a discriminating public.

While one object has been to produce a more profound work on this important branch of study, than any with which I am acquainted; I have at the same time exercised much thought in arranging and classifying the subjects, so that they are adapted to the comprehension of very young pupils.

The rule which I have observed in preparing this work is, Tell but ONE thing at a time, and THAT in its proper place.

It would be laborious to point out all the particulars in which this work differs from other similar works; I shall, therefore, mention those only which occur in giving a brief exposition of

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