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UNIVERSITY ARITHMETIC

EMBRACING TIIB

SCIENCE OF NUMBERS,

AND

GENERAL RULES FOR THEIR APPLICATION,

BY CHARLES DAVIES, LL.D.,

AUTUOR OF PRIMARY, INTELLECTUAL, AND SCHOOL ARITHMETICS; ELEMENTARY
AI GEBRA; ELEMENTARY GEOMETRY ; PRACTICAL MATHEMATICS; ELEMENTS
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 ::: CINCINNATI ::: CHICAGO
AMERICAN BOOK COMPANY

71

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TO

THE TEACHERS OF THE UNITED STATES,

THIS

TREATISE ON ARITHMETIC,

THE LAST OF A SERIES OF WORKS DESIGNED TO LESSEN THE LABOR

AND DIPROVE THE SYSTEMS OF TEACHING,

IS

RESPROTFULLY 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 TESTTUONY
OF HIS REGARD FOR THOSE WITA WHOM HE HAS LONO BEEN A 00-

LABORER IN THE WONX OF PUBLIC INSTRUOTION

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