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NEW ELEMENTARY ALGEBRA,

FOR COMMON SCHOOLS AND ACADEMIES.

324 pp. Price $1.38.

This new work excels all like books:

1. In being simple and easy, yet comprehensive.

2. In treating the entire subject analytically.

3. In combining logical clearness and exhaustive thoroughness with terseness and elegant conciseness.

4. In the numerous original practical methods.

5. In the happy manner of treating discussion of problems, rationalization, and radical equations.

GREENLEAF'S

ELEMENTS OF GEOMETRY,

FOR HIGH SCHOOLS AND ACADEMIES.

320 pp. Price $1.38.

Attention is invited to the following considerations concerning this new work:

1. Its arrangement is the simple and elegant order adopted by LEGENDRE.

2. The methods of demonstration are complete, yet simple and concise.

3. The acknowledged improvements of M. DA CUNHA have been carefully incorporated into the work.

4. The converse of propositions has

been demonstrated in many cases.

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5. The Miscellaneous Geometrical Exercises constitute a valuable feature, not often found in an elementary work

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NEW HIGHER ALGEBRA,

FOR HIGH SCHOOLS AND COLLEGES.

394 pp. Price $1.87.

AN ENTIRELY NEW WORK,

Containing many important improvements, and meeting very fully the requirements of the best standard of instruction. Especial attention is invited to

The judicious selection and arrangement of topics.

The brevity and clearness with which the various subjects have been treated-all the essential subjects having been brought within 380 pages.

The character of the examples, especially the exclusion of all such as are calculated to merely puzzle.

The clear treatment of Radicals, Imaginary Quantities, and Binomial

Theorem.

The separate discussion of the three methods of completing the square in Quadratic Equations; the separation of equations in the Quadratic Form from true Quadratic Equations; and the classification of Simultaneous Equations.

The treatment of Recurring Series (Art. 378,-381), especially the distinction between the scale of relation of the terms and of the co-efficients; the plan of keeping the co-efficients

and variable-distinct, and the method of

obtaining the sum of the series.

The method of treating Logarithms, especially (Art. 388, -404), and Exponential Equations (Art. 418, -438).

The Statement of the General Properties and Transformation of Equations (Art. 434, -466), and the illustration of each by examples.

Greenleaf's Treatise on Algebra is a different work

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ELEMENTS OF TRIGONOMETRY,.

FOR ACADEMIES AND COLLEGES.

170 pp. Price $1.

This is regarded as the most elegant treatise of the kind in the language:

1. The Plane and Spherica! Trigonometry forms a complete system, analytically treated and practically applied.

2. The Trigonometric Functions have been regarded, in accordance with the modern method, as ratios, but reference has been made to such points of the old methods as are deemed valuable.

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3. The entire work is elementary and progressive, and at the same time full and comprehensive, containing the most useful applications, with full tables.

GREENLEAF'S

GEOMETRY AND TRIGONOMETRY,

For Academies and Colleges.

490 pp. Price $1.87.

GREENLEAF’S

SURVEYING AND NAVIGATION.

IN PREPARATION.

Also, other books of a complete course, to be issued as fast as may be consistent with their careful composition.

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