ARE RESPECTFULLY INVITED TO EXAMINE

Greenleaf's New Mathematics;

AN ENTIRELY NEW COURSE,

Clear, Comprehensive, Practical, Complete,

For all grades of Learners.

FOR COMMON SCHOOLS.

NEW PRIMARY ARITHMETIC,

NEW ELEMENTARY ARITHMETIO,

NEW PRACTICAL ARITHMETIC.

For High Schools, Academies, & Colleges. NEW PRACTICAL ARITHMETIC,

OR, NATIONAL ARITHMETIC.

NEW ELEMENTARY ALGEBRA, Or, New Higher Algebra.

GEOMETRY AND TRIGONOMETRY.

EACH BOOK COMPLETE IN ITSELF.

This new work excels all other FIRST LESSONS in numbers: 1. In the interesting and attractive nature of the exercises.

2. In the judicious use of pictorial illustrations.

3. In the practical methods of teaching the tables of addition subtraction, &c.

4. In the simplicity of the inductive processes.

5. In the number and beauty of its pictorial illustrations, which especially adapt it to the popular Object Method of instruction.

6. In containing a sufficient number of easy Slate Exercises for beginners.

In ordering call for Greenleaf's New Primary Arithmetic.

NEW ELEMENTARY ARITHMETIC,

AN EASY, COMPREHENSIVE COURSE OF

MENTAL AND WRITTEN EXERCISES,
Upon the Productive Plan, for Beginners.

208 pp. 16mo. Price 50 cents.

This new work has been prepared expressly to provide for new educational demands. It excels:

1. In being thoroughly inductive, analytic, and practical.

2. In combining mental and written exercises, and in applying the same forms of analysis to both.

3. In comprehending the essentials of arithmetic, — the Fundamental Rules, Fractions, Analysis, Percentage, and Simple Interest, Metric System of Weights and Measures, etc.

4. In especial adaptation to the want of pupils whose limited opportunities require that they should learn much in the shortest possible time.

This book is complete in itself, and, being cheap and comprehensive, is, pre-eminently,

A BOOK FOR THE TIMES.

FOR

New Practical Arithmetic;

AN ENTIRELY NEW WORK,

FOR SCHOOLS AND SEMINARIES.

Especial attention is invited to its many

DISTINGUISHING CHARACTERISTICS.

1. The prominence given to the ENUNCIATION of GENERAL PRINCIPLES, (pp. 13, 18, 26, 35, 44, etc.)

2. The simple and clear treatment of NOTATION and NUMERATION. 3. The early introduction of the DECIMAL POINT, (pp. 15, 16,) and the explanation of the values expressed by figures at the right of the point, (p. 52.)

4. EXCHANGE of COMMODITIES, BILLS AND INVOICES, Accounts,, LEDGER COLUMNS, (pp. 72, 78,) and various useful applications, (pp. 142, 178, 186, 187, 202, 263, 212, etc.)

5. The discussion of FACTORING before Multiplication by Factors, (p. 83,) or Division by Factors, (p. 84.)

6. The simplification of DIVISION of Common Fractions, (p. 117,) and of DIVISION of Decimals, (p. 139.)

7. The introduction of COMPOUND DENOMINATE NUMBERS, (p. 162,) after Fractions, so as to avoid at least eight special rules in Reduction, Addition, and Subtraction of Denominate Numbers.

8. The METRIC SYSTEM of WEIGHTS and MEASURES is in its proper place, in the body of the work, (p. 155,) and references made to the same in subsequent parts of the book, (pp. 164, 166, 170, 187, 247, 283, etc.,) as urged by PROF. NEWTON, of Yale College, PRESIDENT HILL, of Harvard University, PROF. HENRY, of Smithsonian Institute, PROF. ROGERS, of University of Pennsylvania, CHANCELLOR CHAUVENET, of Washington University, ST. LOUIS, and others.