OF

ALGEBRA:

TRANSLATED FROM THE FRENCH OF

M. BOURDON.

REVISED AND ADAPTED TO THE COURSE OF MATHEMATICAL INSTRUCTION
IN THE UNITED STATES,

BY CHARLES DAVIES, LL.D.

AUTHOR OF ARITHMETIC, ELEMENTARY ALGEBRA, ELEMENTARY GEOMETRY,
PRACTICAL GEOMETRY, ELEMENTS OF SURVEYING, ELEMENTS OF
DESCRIPTIVE AND ANALYTICAL GEOMETRY, ELEMENTS

of differeNTIAL AND INTEGRAL CALCULUS,

AND A TREATISE ON SHADES, SHA-

DOWS AND PERSPECTIVE.

REVISED EDITION..

PHILADELPHIA:

PUBLISHED BY A. S. BARNES AND CO.

21 Minor-street.

KEY TO DAVIES' ARITHMETIC.

DAVIES' ELEMENTARY ALGEBRA;
Being an introduction to the Science.

KEY TO DAVIES' ELEMENTARY ALGEBRA.

DAVIES' ELEMENTARY GEOMETRY.

This work embraces the elementary principles of Geometry. The reasoning is plain and concise, but at the same time strictly rigorous.

DAVIES' PRACTICAL GEOMETRY,

Embracing the facts of Geometry, with applications in ARTIFICER'S WORK,
MENSURATION and MECHANICAL PHILOSOPHY.

DAVIES' BOURDON'S ALGEBRA,

Being an abridgment of the work of M. Bourdon, with the addition of practical examples.

DAVIES' LEGENDRE'S GEOMETRY AND TRIGONOMETRY, Being an abridgment of the work of M. Legendre, with the addition of a Treatise on MENSURATION OF PLANES AND SOLIDS, and a Table of LOGARITHMS and LOGARITHMIC SINES.

DAVIES' SURVEYING,

With a description and plates of, the THEODOLITE, COMPASS, PLANE-TABLE, and LEVEL-also, Maps of the TOPOGRAPHICAL SIGNS adopted by the Engineer Department-an_explanation of the method of surveying

the Public Lands, and an Elementary Treatise on

NAVIGATION.

DAVIES' ANALYTICAL GEOMETRY,

Embracing the EQUATIONS OF THE POINT AND STRAIGHT LINE-of the CONIO SECTIONS of the LINE AND PLANE IN SPACE-also, the discussion of the GENERAL EQUATION of the second degree, and of SURFACES

OF THE SECOND ORDER.

DAVIES' DESCRIPTIVE GEOMETRY,
With its application to SPHERICAL PROJECTIONS.

DAVIES' SHADOWS AND LINEAR PERSPECTIVE.

DAVIES' DIFFERENTIAL AND INTEGRAL CALCULUS.

ENTERED according to the Act of Congress, in the year 1834,

BY CHARLES DAVIES,

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