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THE

NORTH AMERICAN ARITHMETIC.

PART THIRD,

FOR

ADVANCED SCHOLARS.

BY FREDERICK EMERSON,
LATE PRINCIPAL IN THE DEPARTMENT OF ARITHMETIC,

BOYLSTON SCHOOL, BOSTON.

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Entered according to act of Congress, in the year 1834, by Frederick Emerson, in the Clerk's Office of the District Court of the District of Massachuseus.

RECOMMENDATIONS.

CAMBRIDGE, Oct. 31, 1834 To the Publishers of Emerson's Arithmetic.—Gentlemen - I have exam. ined the Third Part of Mr. Emerson's Arithmetic, with great pleasure. The perspicuity of its arrangement, and the clearness and brevity of its explanations, combined with its happy adaptation to the purposes of practical business are its great recommendations. I hope it will soon be introduced into all our schools, and take place of the ill-digested Treatises, to which our instructers have hitherto been compelled to resort.

Respectfully, BENJAMIN PEIRCE, (Professor of Mothematics and Nat. Philo. Harvard University)

Boston, Nov. 10, 1834. To the Publishers of Emerson's Arithmetic.—1 have carefully examined the Third Part of the North American Arithmetic, by Mr. Emerson ; and am so well satisfied that it is the best treatise upon the subject, with which I am acquainted, that I have determined to introduce it as a text-book into my school. Very respectfully, &c., yours,

E. BAILEY, (Principal of the Young Ladies' High School, Boston.] From the Boston Public Schoolmasters.

Boston, Nov. 16, 1834. We have considered it our duty to render ourselves acquainted with the more prominent systems of Arithmetic, published for the use of schools, and to fix on some work which appears to unite the greatest advantages, and report the same to the School Committee of Boston, for adoption in the Public Schools. After the most careful examination, we have, without any hesitancy, come to the conclusion, that Emerson's North American Arithmetic (First, Second, and Third Parts) is the work best suited to the wants of all classes of scholars, and most convenient for the purposes of instruction. Accordingly, we have petitioned for the adoption of this work in the Public Schools.

P. MACKINTOSH, JR. Levi CONANT.
JAMES ROBINSON. J. FAIRBANK.
Oris PIERCE.

John P. LATHROP.
ABEL WHEELER.

ABNER FORBES.
Orders of the Boston School Committee.
At a Meeting of the School Committee, Nov. 18, 1834,

Ordered, That Emerson's North American Arithmetic, Second and Third Parts, be substituted in the Writing Schools, for Colburn's First Lessons and Sequel.*

Ordered, That the Arithmetics now in use be permitted to their present owners; but that whenever a scholar shall have occasion to purchase a new one, the North American Arithmetic shall be required.

Attest,

S. F. M'CLEARY, Secretary. * The First Part was already adopted, by a previous order.

Lagmans

6-26-36 32490

PREFACE.

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The work, now presented, is the last of a series of books, under the general title of The North AMERICAN ARITHMetic, and severally denominated Part First, Part Second, and Part Third.

Part First is a small book, designed for the use of children between five and eight years of age, and suited to the convenience of class-teaching in primary schools.

Part Second consists of a course of oral and written exercises united, embracing sufficient theory and practice of arithmetic for all the purposes of common business.

Part THIRD comprises a brief view of the elementary principles of arithmetic, and a full development of its higher operations. Although it is especially prepared to succeed the use of Part Second, it may be conveniently taken up by scholars, whose acquirements in arithmetic are considerably less than the exercises in Part Second are calculated to afford. While preparing this book, I have kept in prominent view, two classes of scholars; viz. - those who are to prosecute a full course of mathematical studies, and those who are to embark in commerce. In attempting to place arithmetic, as a science, before the scholar in that light, which shall prepare him for the proper requirements of college, I nave found it convenient to draw a large portion of the examples for illustration and practice, from mercantile transactions, and thus pure and mercantile arithmetic are united. No attention has been spared, to render the mercantile information here presented, correct and adequate. Being convinced, that many of the statements relative to commerce, which appear in books of arithmetic, have been transmitted down from ancient publications, and are now erroneous, I have drawn new data from the counting-room, the insurance office, the custom-house, and the laws of the present times. The article on Foreign Exchange is comparatively extensive, and I hope it will be found to justify the confidence of merchants. Its statements correspond to those of the British

Universal Cambist,' conformably with our value of foreign coins, as fixed by Act of Congress, in 1834. .

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