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UNITED STATES

ARITHMETIC.

DESIGNED FOR

ACADEMIES AND SCHOOLS.

BY WILLIAM VOGDES, A. M.

PROFESSOR OP MATHEMATICS IN THE CENTRAL HIGH SCHOOL

OF PHILADELPHIA.

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PHILADELPHIA:
E. C. & T. BIDDLE, No. 6 SOUTH FIFTH STREET.

1847.

Adoption of the United States Arithmeticas a class

book for the Public Schools of the City and County of
Philadelphia.

CHAMBER OF THE CONTROLLERS OF Public Schools,

FIRST SchooL DISTRICT OF PENNSYLVANIA.

Philadelphia, April 9th, 1845.
At a meeting of the Controllers of Public Schools,
held at their Chamber, on Tuesday, April 8th, 1845,
the following resolution was adopted :-

Resolved, That the “ UNITED STATES ARITHME-
TIC," by PROFESSOR VOGDES, be introduced, as a
class book, into the Public Schools of the District.
From the minutes.
THOMAS B. FLORENCE,

Secretary

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Entered according to Act of Congress, in the year 1845,

By E. C. & J. BIDDLE,
In the Clerk's Office of the District Court of the United States,

of the Eastern District of Pennsylvania.

Printed by T. K. & P. G. Collins.

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10-16.42
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PREFACE.

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In preparing for press the present work, the author has endeavoured so to treat his subject as to draw forth the thinking powers of a child, and to insure the pupil's comprehension of it. For this purpose, every important rule has been followed by a demonstration or elucidation, in which are set forth, as clearly as possible, the reasons why the operations are to be performed according to the rule, and the principles on which the rule is founded.

The object of education being to prepare youth for the faithful performance of the duties of the respective situations in which they may be placed in after life, the author has not lost sight of the importance of making a school book practical in its character, but has introduced many matters with this end especially in view; and has so prepared the examples under the various rules, as to impart much useful information, and to give correct ideas of the modes of transacting business in mercantile and other industrial pursuits of men.

Many teachers have felt the. want of a sufficient number of examples in most of the popular treatises on arithmetic. In this the number of examples exceeds that in any other book now in use, in proportion to its size.

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