AUTHOR OF ARITHMENIC, ELEMENTARY GEOMETRY, ELEMENTS OF
SURVEYING, ELEMENTS OF DESCRIPTIVE AND ANALYTICAL
GEOMETRY, ELEMENTS OF DIFFERENTIAL - AND
INTEGRAL CALCULUS, AND A TREATISE
ON' SHADES, SHADOWS AND

PERSPECTIVE.

PHILADELPHIA:

PUBLISHED BY A. S. BARNES & CO.

No. 21 Minor Street.

a

Entered according to the Act of Congress, in the year one thousand eight hundred and thirty-eight, by CHARLES DAVIES, in the Clerk's Office of the District Court of the United States, for the Southern District of New York.

512 D182E

C. SHERMAN. AND CO., PRINTERS, 19, ST. JAMES STREET, PHILADELPHIA.

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PREFACE.

ALTHOUGH Algebra naturally follows Arithmetic in a course of scientific studies, yet the change from numbers to a system of reasoning entirely conducted by letters and signs is rather abrupt and not unfrequently discourages the pupil.

In this work it has been the intention to form a connecting link between Arithmetic and Algebra, to unite and blend, as far as possible, the reasoning on numbers with the more abstruse method of analysis.

The Algebra of M. Bourdon has been closely followed. Indeed, it has been a part of the plan, to furnish an introduction to that admirable treatise, which is justly considered, both in Europe and this country, as the best work on the subject of which it treats, that has yet appeared.

This work, however, even in its abridged form, is too voluminous for schools, and the reasoning is too elaborate and metaphysical for beginners.

It has been thought that a work which should so far modify the system of M. Bourdon as to bring it within the scope of our common schools, by giving to it a more practical and tangible form, could not fail to be useful. Such is the object of the ELEMENTARY ALGEBRA. It is hoped it may advance the cause of education, and prove a useful introduction to a full course of mathematical studies.

The author has thought best to add in the present edition, a few pages in the form of an Introduction, and also a Treatise on Logarithms.

HARTFORD, September, 1838.

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COURSE OF MATHEMATICS.

DAVIES' FIRST LESSONS IN ARITHMETIC,-For beginners.
DAVIES' ARITHMETIC-Designed for the use of academies and schools.
KEY TO DAVIES' ARITHMETIC.

DAVIES' ELEMENTARY ALGEBRA;-Being an introduction to the
Science, and forming a connecting link between ARITHMETIC and AL-

GEBRA.

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 Geome-
try, with applications in ARTIFICER'S WORK, MENSURATION and ME-
CHANICAL 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 Lo-
GARITHMS and LOGARITHMIC SINES.

DAVIES' SURVEYING,-With a description and plates of, the THEODO-
LITE, COMPASS, PLANE-TABLE, and LEVEL-also, Maps of the TOPO-
GRAPHICAL SIGNS adopted by the Engineer Department—an explanation
of the method of surveying the Public Lands, and an Elementary Trea-
tise on NAVIGATION.

DAVIES' ANALYTICAL GEOMETRY,-Embracing the EQUATIONS
OF THE POINT AND STRAIGHT LINE-of the CONIC SECTIONS-of the
LINE AND PLANE IN SPACE-also, the discussion of the GENERAL EQUA-
TION 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.

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