OF

GEOMETRY AND TRIGONOMETRY.

TRANSLATED FROM THE FRENCH OF

A. M. LEGENDRE,

BY DAVID BREWSTER, LL. D.

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

BY CHARLES DAVIES,

AUTHOR OF MENTAL AND PRACTICAL ARITHMETIC, ELEMENTS OF SURVEYING,
ELEMENTS OF DESCRIPTIVE AND OF ANALYTICAL GEOMETRY,
ELEMENTS OF DIFFERENTIAL AND INTEGRAL CALCULUS,

AND SHADES SHADOWS AND PERSPECTIVE.

PHILADELPHIA:

PUBLISHED BY A.S. BARNES AND CO.
21 Minor-street.

Being an introduction to the Science, and forming a connecting link between
ARITHMETIC and ALGEBRA.

DAVIES' ELEMENTS OF 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 CONIC
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.