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ELEMENTS

ΟΥ

GEOMETRY AND TRIGONOMETRY,

FROM THE WORKS or

A. M. LEGENDRE.

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

BY CHARLES DAVIES, LL.D.,

AUTHOR OF ARITHMETIC, ALGEBRA, PRACTICAL MATHEMATICS FOR PRACTICAL MEN,
ELEMENTS OF DESCRIPTIVE AND OF ANALYTICAL GEOMETRY, ELEMENTS

OF DIFFERENTIAL AND INTEGRAL CALCULUS, AND SHADES,

SHADOWS, AND PERSPECTIVE.

A. S. BARNES & COMPANY,

NEW YORK AND CHICAGO.

1872.

THE WEST POINT COURSE

And Only Thorough and Complete Mathematical Series.

IN THREE PARTS.

I. COMMON SCHOOL COURSE

Davies' Primary Arithmetic.—The fundamental principles displayed in Object Lessons.

Davies' Intellectual Arithmetic.-Referring all operations to the unit 1 as the only tangible basis for logical development.

Davies' Elements of Written Arithmetic.-A practical introduction to the whole subject. Theory subordinated to Practice.

Davies' Practical Arithmetic.*-The most successful combination of Theory and Practice, clear, exact, brief, and comprehensive.

II. ACADEMIC COURSE.

Davies' University Arithmetic.*-Treating the subject exhaustively as a science, in a logical series of connected propositions.

Davies' Elementary Algebra.*■*—A connecting link, conducting the pupil easily from arithmetical processes to abstract analysis.

Davies' University Algebra.*-For institutions desiring a more complete but not the fullest course in pure Algebra.

Davies' Practical Mathematics.-The science practically applied to the useful arts, as Drawing, Architecture, Surveying, Mechanics, etc.

Davies' Elementary Geometry. The important principles in simple form, but with all the exactness of vigorous reasoning.

Davies' Elements of Surveying.-Re-written in 1870. The simplest and most practical presentation for youths of 12 to 16.

III. COLLEGIATE COURSE.

Davies' Bourdon's Algebra.*-Embracing Sturm's Theorem, and a most exhaustive and scholarly course.

Davies' University Algebra.*—A shorter course than Bourdon, for Institutions have less time to give the subject.

Davies' Legendre's Geometry.-Acknowledged the only satisfactory treatise of its grade. 300,000 copies have been sold.

Davies' Analytical Geometry and Calculus.-The shorter treatises, combined in one volume, are more available for American courses of study. Davies' Analytical Geometry. The original compendiums, for those deDavies' Diff. & Int. Calculus. siring to give full time to each branch. Davies' Descriptive Geometry.- -With application to Spherical Trigonometry, Spherical Projections, and Warped Surfaces.

Davies' Shades, Shadows, and Perspective. A succinct exposition of the mathematical principles involved.

Davies' Science of Mathematics.-For teachers, embracing

I. GRAMMAR OF ARITHMETIC,

II. OUTLINES OF MATHEMATICS,

III. LOGIC AND UTILITY OF MATHEMATIOS,
IV. MATHEMATICAL DICTIONARY.

Keys may be obtained from the Publishers by Teachers only.

Entered, according to Act of Congress, in the year 1862, by
CHARLES DAVIES,

In the Clerk's Office of the District Court of the United States for the Southern District of

New York.

L.

7%-231

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