AUTHOR OF PRIMARY, INTELLECTUAL, AND SCHOOL ARITHMETICS; ELEMENTARY
ALGEBRA; ELEMENTARY GEOMETRY; PRACTICAL MATHEMATICS; ELEMENT

OF SURVEYING; ELEMENTS OF ANALYTICAL GEOMETRY; DESCRIPTIVE
GEOMETRY; SHADES, SHADOWS, AND PERSPECTIVE; DIFFER-
ENTIAL AND INTEGRAL CALCULUS; AND LOGIC AND
UTILITY OF MATHEMATICS.

NEW YORK:

PUBLISHED BY BARNES & BURR,

Nos. 51, 58 & 55 JOHN STREET.

1865.

ADVERTISEMENT.

VERSITY
RARY

47x130

THE attention of Teachers is respectfully invited to the REVISED EDITIONS of

Davies' Arithmetical Series

FOR SCHOOLS AND ACADEMIES.

1. DAVIES' PRIMARY ARITHMETIC.
2. DAVIES' INTELLECTUAL ARITHMETIC.
8. DAVIES' PRACTICAL ARITHMETIC.
4. DAVIES' UNIVERSITY ARITHMETIC.
5. DAVIES' PRACTICAL MATHEMATICS.

The above Works, by CHARLES DAVIES, LL.D., Author of a Complete Course of Mathematics, are designed as a full Course of Arithmetical Instruction necessary for the practical duties of business life; and also to prepare the Student for the more advanced Series of Mathematics by the same Author.

The following New Editions of Algebra, by Professor DAVIES, are commended to the attention of Teachers:

1. DAVIES' NEW ELEMENTARY ALGEBRA AND KEY.
2. DAVIES' UNIVERSITY ALGEBRA AND KEY.

8. DAVIES' BOURDON'S ALGEBRA AND KEY.

Entered according to Act of Congress, in the year one thousand eight hundred and

sixty-four,

BY CHARLES DAVIES,

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

་པ

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 WORK OF PUBLIC INSTRUCTION.