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ELEMENTARY ALGEBRA:

CONTAINING THE

RUDIMENTS OF THE SCIENCE

FOR

SCHOOLS AND ACADEMIES.

BY

HORATIO N. ROBINSON, LL. D.,
AUTHOR OF A FULL COURSE OF MATHEMATICS.

IVISON, BLAKEMAN, TAYLOR & CO.,

NEW YORK AND CHICAGO.

Educ T 45.79.750

1281

HARVARD COLLEGE
21729

LIBRARY

ROBINSONS

Mathematical Series.

Graded to the wants of Primary, Intermediate, Grammar, Normal, and High Schools, Academies, and Colleges.

Progressive Table Book.

Progressive Primary Arithmetic.
Progressive Intellectual Arithmetic.
Rudiments of Written Arithmetic.

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JUNIOR-CLASS ARITHMETIC, Oral and Written. NEW.

Progressive Practical Arithmetic.
Key to Practical Arithmetic.
Progressive Higher Arithmetic.
Key to Higher Arithmetic.
New Elementary Algebra.

Key to New Elementary Algebra.

New University Algebra.

Key to New University Algebra.

New Geometry and Trigonometry. In one vol.
Geometry, Plane and Solid. In separate vol.
Trigonometry, Plane and Spherical. In separate vol.
New Analytical Geometry and Conic Sections.
New Surveying and Navigation. Pon
New Differential and Integral Calculus.
University Astronomy-Descriptive and Physical
Key to Geometry and Trig., Analyt. Geometry
and Conic Sect., Surveying and Navigation.

Entered according to Act of Congress, in the year 1859, by
HORATIO N. ROBINSON, LL.D.,

in the Clerk's Office of the District Court of the United States for the Northern
District of New York, and again in 1875, by

D. W. FISH.

Electrotyped by SMITH & MCDOUGAL, 82 Beekman St., N. Y.

PREFACE.

WT

ITHIN the last thirty-five years Algebra has been steadily gaining ground and favor as an important branch of education, and it is now taught and studied in all the academies, seminaries, and best public schools in our country. While this fact is indicative of the onward progress of popular education, it also bears testimony to the value of the science as one eminently calculated to discipline the mind and develop the reasoning powers.

Pupils now commence this study at an earlier age than formerly, and hence the necessity of a work elementary in its character, and adapted to the comprehension of the youthful mind.

In the preparation of the following treatise the author has constantly kept in mind the existing condition of school and academic education, and has adapted the work to the most approved modern methods of teaching.

The author believes this treatise to be superior to other elementary works upon the same subject in the following particulars beauty of typography, the clear and concise operations and analyses of the rules and principles, the great number of examples and their adaptation to the several subjects, and the progressive character of the work, so necessary to the vigorous development of the intellect.

Particular attention is invited to the articles on Fractions, Simple and Higher Equations, Powers and Roots, and the analyses of the rules and principles, as it is claimed that in them will be found much that is new and valuable.

(iii.)

The introductory chapter is adapted to give the pupil a correct comprehension of the utility of symbols, and of the identity and chain of connection between Arithmetic and Algebra, in which the simplicity of Mental Algebra and the spirit of the author's University Algebra are so blended that the work cannot fail to be a most useful and popular one.

While the author takes great pleasure in acknowledging his obligations to several thorough and practical teachers for valuable hints and suggestions, both in theory and application, contributed to this book, he desires to make special mention of the valuable services rendered by J. C. Porter, A. M., in the preparation of this work, whose acknowledged ability as a mathematical scholar, and his long and successful experience as a teacher, ought to afford a sufficient guarantee for its practical character, and adaptation to the purposes of teaching.

NEW EDITION.

Owing to the very large circulation of this book, and the plates from which it was printed becoming very much worn, the entire work has been newly electrotyped, in the latest and best style of typography, the algebraic composition being unsurpassed in this country.

The text of the former editions has been preserved unchanged, page for page and word for word, except to correct positive errors.

Twelve pages have been added at the end of the book, containing new matter which is sometimes used in the examination of students preparatory to entering college.

JUNE, 1875.

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