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AUTHOR OF MENTAL AND PRACTICAL ARITHMETIC, ELEMENTS OF SURVEYING,
ELEMENTS OF DESCRIPTIVE AND ANALYTICAL GEOMETRY, ELEMENTS OF
DIFFERENTIAL AND INTEGRAL CALCULUS, AND A TREATISE ON
SHADES, SHADOWS AND PERSPECTIVE.

PUBLISHED BY

A. S. BARNES & Co, HARTFORD.-WILEY & PUTNAM; COLLINS,
KEESE & Co, NEW-YORK.-PERKINS & MARVIN, BOSTON.-
THOMAS, COWPERTHWAIT & Co, PHILADELPHIA
CUSHING & SONS, BALTIMORE.

DA
152
•DRES
1839

DAVIES' COURSE OF MATHEMATICS.

DAVIES' MENTAL AND PRACTICAL ARITHMETIC-Designed for the use of Academies and Schools. It is the purpose of this work to explain, in a brief and clear manner, the properties of numbers, and the best rules in their various applications.

DAVIES' KEY-To Mental and Practical Arithmetic.

DAVIES' FIRST LESSONS IN ALGEBRA-Being an introduction to the Science.

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, and an explanation of the method of surveying the Public Lands.

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 applications to Spherical Projections.

DAVIES' SHADOWS AND LINEAR PERSPECTIVE.

DAVIES' DIFFERENTIAL AND INTEGRAL CALCULUSWith numerous applications.

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.

STEREOTYPED BY HENRY W. REES,

32 ANN STREET, NEW YORK.

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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 and disgusts the pupil.

In the FIRST LESSONS 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.

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