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A

DRILL-BOOK

IN

ALGEBRA

BY

PROF. GEORGE WILLIAM JONES

OF

CORNELL UNIVERSITY.

FIRST EDITION.

ITHACA, N. Y.:

GEORGE W. JONES.

1892.

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Entered according to Act of Congress, in the year 1892, by

GEORGE WILLIAM JONES,

in the Office of the Librarian of Congress, at Washington.

ROBERT DRUmmond, New YORK, PRINTER,

PREFACE.

So far as concerns mathematical studies there are always two classes of pupils: those that will use mathematics later in life as one of the tools of their trade-the engineers, architects, accountants, teachers, scientists; those that will not so use it.

To both of these classes the careful study of the elements of geometry and algebra is important: to the first class as laying a sure foundation for work in the higher mathematics and for its professional applications; to the others as giving the power and the habit of exact statement and rigorous proof. In this later day we pride ourselves on our laboratories, in which the pupil comes face to face with the facts and forces of nature-every mathematical recitation-room under an able teacher is a laboratory in logic, and for sound logic there is always an unlimited demand.

This book is for use by the more advanced classes in the high schools and academies and the lower classes in the colleges; and its primary object is to teach young men and women to think. From the beginning the philosophy of the subject is made prominent; and in writing it the author set himself the double task of writing a book whose definitions should be precise and whose proofs should be rigorous, and of writing one so simple that any diligent pupil could read it easily.

But he has not confined himself to definitions and proofs: a large collection of questions and exercises has been added; and for a good understanding of the fundamental principles, and readiness in their use, quite as much reliance is placed on

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