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BY CHARLES DAVIES, LL. D.
AUTHOR OF FIRST LESSONS IN ARITHMETIC, ELEMENTARY ALGEBRA,
PRACTICAL MATHEMATICS FOR PRACTICAL MEN, ELEMENTS OF
SURVEYING, ELEMENTS OF DESCRIPTIVE GEOMETRY,
SHADES, SHADOWS, AND PERSPECTIVE, ANA-
LYTICAL GEOMETRY, DIFFERENTIAL

AND INTEGRAL CALCULUS.

A. S. BARNES & COMÉANY,

NEW YORK AND GUICAGO.

1870

2. TIL. D. G.

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ME. ET

NEW YORKS

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Entored according to Act of Congrees, in the year Eighteen fundred and Fity-one,

BY CHARLES DAVIES, In the Clerk's Once of the District Court of the United States for the Sonthen

District of New York.

PREFACE.

Those who are conversant with the preparation of elementary text-books, have experienced the difficulty of adapting them to the various wants which they are intended to supply.

The institutions of education are of all grades, from the college to the district school, and although there is a wide difference between thie extremes, the levei, in passing from one grade to the other, is scarcely broken.

Each of these classes of seminaries requires text-books adapted to its own peculiar wants; and if each held its proper place in its own class, the task of sapplying suit. able works would tot be difficult.

An indifferent coliege is generally infcrior, in the system and scope of its instruction, to the academy or high school; while the district school is o ten found ' be superior to its neighboring acaderny.

The Geometry of Legendre, embracing a complete course of Geometrical science, is all that is desired in the colleges and higher seminaries; while the Practical Mathematics for Practical Men, recently published, is designed to meet the wants of those schools which are strictly elementary and practical in their systems of instruction.

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