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EMBRACING THE

SCIENCE OF NUMBERS,

AND

GENERAL RULES FOR THEIR APPLICATION.

BY CHARLES DAVIES, LL.D.,

AUTHOR OF PRIMARY, INTELLECTUAL, AND SCHOOL ARITHMETICS; ELEMENTARY
ALGEBRA; ELEMENTARY GEOMETRY; PRACTICAL MATHEMATICS; ELEMEND
OF SURVEYING; ELEMENTS OF ANALYTICAL GEOMETRY; DESCRIPTIVE
GEOMETRY, SHADES, SHADOWS, AND PERSPECTIVE; DIFFER-
ENTIAL AND INTEGRAL CALCULUS; AND LOGIO AND

UTILITY OF MATHEMATICS.

NEW YORK :
PUBLISHED BY BARNES & BURR,
Nos. 51, 58 & 55 JOHN STREET.

ADVERTISEMENT.

1: ERSITY ..RARY 42* 130

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., Aathor 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.

Entored 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.

10

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,

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IT 18 OFFERED AS A TOKEN OF HIS GRATEFUL APPRECIATION OF THE INDULGENCE
WITH WHICH AIS 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 WOPK OF PUBLIO INSTRUOTION.

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