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AUTHOR OF FIRST LESSONS IN ARITHMETIC; ARITHMETIC; ELEMENTARY ALGEBRA,
ELEMENTARY GEOMETRY; ELEMENTS OF DRAWING AND MENSURATION;

ELEMENTS OF SURVEYING; ELEMENTS OF ANALYTICAL GEOM-

ETRY; DESCRIPTIVE GEOMETRY; SHADES, SHADOWS,
AND PERSPECTIVE; AND DIFFERENTIAL AND

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Entered according to Act of Congress, in the year 1846,

BY CHARLES DAVIES,

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

Stereotyped by RICHARD C. VALENTINE, New York.

C. A. ALVORD, Printer, Corner of John and Dutch streets.

ΤΟ

THE TEACHERS OF THE UNITED STATES,

THIS

Treatise on Arithmetic,

THE LAST OF A SERIES OF WORKS DESIGNED TO LESSEN THE LABOR AND IMPROVE THE SYSTEMS OF TEACHING,

IS

RESPECTFULLY DEDICATED,

BY

THE AUTHOR.

It is offered as a token of his grateful appreciation of the indulgence with which his other works have been received, and as a testimony of his regard

for those with whom he has long been a co-laborer in

the great work of public instruction.

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