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ELEMENTARY

GEOMETRY,

WITH

APPLICATIONS IN MENSURATION.

BY CHARLES DAVIES, L.L. D.

AUTHOR OF FIRST LESSONS IN ARITHMETIC, ELEMENTARY ALGEBRA,
PRACTICAL GEOMETRY, ELEMENTS OF SURVEYING, ELEMENTS
OF DESCRIPTIVE GEOMETRY, SHADES, SHADOWS AND

PERSPECTIVE, ANALYTICAL GEOMETRY,
DIFFERENTIAL AND INTEGRAL
CALCULUS.

NEW YORK:

PUBLISHED BY A. S. BARNES & CO.,

No. 51 JOHN-STREET.

CINCINNATI:-H. W. DERBY & CO.

HARVARD GULLIVE TIERRY

BY EXCHANGE

JAN 8 1937

ENTERED according to Act of Congress, in the year 1841, BY CHARLES DAVIES,

in the Clerk's Office of the District Court of Connecticut.

F. C. GUTIERREZ, PRINTER,
CORNER OF JOHN AND DUTCH STREETS,
NEW YORK.

A. S. BARNES & COMPANY'S PUBLICATIONS.

Davies System of Mathematics.

MATHEMATICAL WORKS,

IN A SERIES OF THREE PARTS:

ARITHMETICAL, ACADEMICAL, AND COLLEGIATE.

BY CHARLES DAVIES, L.L. D.

I. THE ARITHMETICAL COURSE FOR SCHOOLS.

1. PRIMARY TABLE-BOOK.

2. FIRST LESSONS IN ARITHMETIC.

3. SCHOOL ARITHMETIC.

(Key separate.)

4. GRAMMAR OF ARITHMETIC.

II. THE ACADEMIC COURSE.

1. THE UNIVERSITY ARITHMETIC.

(Key separate.)

2. PRACTICAL GEOMETRY AND MENSURATION.

3. ELEMENTARY ALGEBRA. (Key separate.)

4. ELEMENTARY GEOMETRY.

5. ELEMENTS OF SURVEYING.

III. THE COLLEGIATE COURSE.

1. DAVIES' BOURDON'S ALGEBRA.

2. DAVIES' LEGENDRE'S GEOMETRY AND TRIGONOMETRY.

3. DAVIES' ANALYTICAL GEOMETRY.

4. DAVIES' DESCRIPTIVE GEOMETRY.

5. DAVIES' SHADES, SHADOWS, AND PERSPECTIVE.

€. DAVIES' DIFFERENTIAL AND INTEGRAL CALCULus.

. DAVIES' LOGIC AND UTILITY OF MATHEMATICS. This series, combining all that is most valuable in the various methods of European instruction, improved and matured by the suggestions of more than thirty years' experience, now forms the only complete consecutive course of Mathematics. Its methods, harmonizing as the works of one mind, carry the student onward by the same analogies and the same laws of association, and are calculated to impart a comprehensive knowledge of the science, combining clearness in the several branches, and unity and propor tion in the whole. Being the system so long in use at West Point, through which so many men, eminent for their scientific attainments, have passed, and hɛ ing been adopted, as Text Books, by most of the colleges in the United States, it may be justly regarded as our

NATIONAL SYSTEM OF MATHEMATICS.
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