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REVISED AND ADAPTED TO THE COURSE OF MATHEMATICAL INSTRUCTION IN
BY CHARLES DAVIES, LL. D.,
AUTHOR OF ARITHMETIC, ALGEBRA, PRACTICAL MATHEMATICS FOR PRACTICAL MEN,
OF DIFFERENTIAL AND INTEGRAL CALCULUS, AND SHADES,
PUBLISHED BY A. S. BARNES & CO.,
CINCINNATI: H. W. DERBY & CO.
HARVARD COLLEGE LIBRARY
COURSE OF MATHEMATICS
Badies' First Lessons in Arithmetic-For Beginners.
Davies Arithmetic-Designed for the use of Academies and Schools.
Bey to Davies' Arithmetic.
Davies' University Arithmetic-Embracing the Science of Numbers and their numerous Applications.
Key to Babies' University Arithmetic.
Babies' Elementary Algebra-Being an introduction to the Science, and forming a connecting link between ARITHMETIC and Algebra.
Key to Davies' Elementary Algebra.
Babies' Elements of Geometry AND Trigonometry, with APPLICATIONS IN
Davies' Practical Mathematics for Practical Men-Embracing the Princi-
Babies' Bourdon's Algebra-Including STURM'S THEOREM-Being an abridg
Babies' Surveying-With a description and plates of the THEODOLITE, COM
Babies' Descriptive Geometry-With its application to SPHERICAL PROJEO
Babies' Shades, Shadows, and Linear Perspective.
Babies' Analytical Geometry-Embracing the EQUATIONS OF THE POINT AND
Babies' Differential and Entegral Calculus.
Babies' Logic and Utility of Mathematics.
ENTERED according to Act of Congress, in the year one thousand eight hundred and fifty-one, by CHARLES DAVIES, in the Clerk's Office of the District Court of th United States for the Southern District of New York.
IN the preparation of the present edition of the Geometry of A. M. LEGENDRE, the original has been consulted as a model and guide, but not implicitly followed as a standard. The language employed, and the arrangement of the arguments in many of the demonstrations, will be found to differ essentially from the original, and also from the English translation by DR. BREWSTER.
In the original work, as well as in the translation, the propositions are not enunciated in general terms, but with reference to, and by the aid of, the particular diagrams used for the demonstrations. It is believed that this departure from the method of Euclid has been generally regretted. The propositions of Geometry are general truths, and as such, should be stated in general terms, and without reference to particular figures. The method of enunciating them by the aid of particular diagrams seems to have been adopted to avoid the difficulty which beginners experience in comprehending abstract proposi tions. But in avoiding this difficulty, and thus lessening, at first, the intellectual labor, the faculty of abstraction, which it is one of the primary objects of the study of Geometry to strengthen, remains, to a certain extent, un improved.