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THE

TEACHERS ASSISTANT.

OR

A SYSTEM

OF

PRACTICAL ARITHMETIC;

WHEREIN

THE SEVERAL RULES

OF THAT USEFUL SCIENCE,

ARE ILLUSTRATED

BY A VARIETY OF EXAMPLES,

A LARGE PROPORTION OF WHICH ARE IN

FEDERAL MONEY

THE WHOLE DESIGNED

TO ABRIDGE THE LABOUR OF TEACHERS,

AND TO FACILITATE
THE INSTRUCTION OF YOUTH.

COMPILED BY S. PIKE.

PHILADELPHIA:

PUBLISHED BY JOHSONN AND WARNER, NO. 147, MARKÉT-

STREET; B. AND T. KITE, NO. 20, NORTH THIRD-
STREET; AND BY STEPHEN PIKE, NO. 22, NORTA
SECOND-STREET.

W. Brown, Printer, 24, Church-alley,

1811.

DISTRICT OF PENNSYLVANIA, TO WIT:

BE IT REMEMBERED, That on the twenty-third day of L. S. September, in the thirty-sixth year of the independence

of the United States of America, A.D. 1811, JOHNSON

and WARNER of the said District, have deposited in this Office the title of a Book, the right whereof they claim as proprietors in the words following, to wit: " The Teachers Assistant, or a System of Practical Arithmetic;

“ wherein the several rules of that useful science, are illustrated “ by a variety of examples, a large proportion of which are in “ Federal Money. The whole designed to abridge the labour of « Teachers, and to facilitate the Instruction of Youth. Compiled 6 by S. Pike."

In conformity to the act of the congress of the United States, intituled, “ An Act for the encouragement of learning, by securing the copies of Maps, Charts and Books, to the authors and proprietors of such copies during the times therein mentioned."- And also to the act, entitled, “ An Act supplementary to an Act, entitled “ An Act for the encouragement of learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the times therein mentioned,” and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.”

D. CALDWELL, Clerk of the District of Pennsylvanith

1

PREFACE.

Recl. 1-1 6-4 hitas.

The design of the following work, is to furnish the several rules of arithmetic concisely expressed, together with a variety of applicative examples, arranged in such order, that the learner may advance by grada.. tions, from what is simple to what is more abstruse, and be unobstructed in his progress by ignorance of particulars that he should previously have known.

The compiler is aware, that a number of works of a similar nature are already in use, and that most of them are possessed of considerable merit; yet he believes he has, in several respects, improved upon them. Whether he has or not, after making a few remarks, he will submit to the judicious to determine.

Under each of the rules in the Teacher's AssisTANT, one or more wrought examples are given, which afford an opportunity of explaining and illustrating them. Of the examples for the application of the several rules, the easiest occur first, such as are similar mostly succeed each other, and all are delivered in as familiar terms as could readily be employed. Federal money, as far as the five primary rules are concerned, is treated of separately, and agreeably to the manner in which it is used in trade-mills being mostly rejected. Before entering upon Compound Addition, a portion of Reduc

27812

tion is introduced, which appears necessary, in order to explain that rule, as well as Compound Multiplication and Compound Division.

Besides the foregoing particulars, a number more might be adduced that are conceived to be worthy of attention; such as the arrangement of the rules and examples in Practice, Simple Interest, Tare and Tret, &c. but these, with the whole work, are referred to teachers and others interested in the subject.

Philadelphia, Sept. 16, 1811. THE Treatise on Arithmetick, by Mr. S. Pike of this, city, which you requested me to look over, I have paid some attention to, and view it as a work of merit.-It certainly deserves an introduction into our academies as an excellent school book, which cannot fail of being acceptable to all those teachers, who are aware of the importance connected with the facility of cultivating and improving the understandings of their pupils.

I ant, respectfully, your's,

WILLIAM ROGERS, D. D. Professor of English and Belle Lettres in the

University of Pennsylvania. Messrs. Johnson & Warner.

Philadelphia, Sept. 23, 1911. AGREEABLY to your request I have examined Mr. PIKE's Treatise of Arithmetic, and am much pleased with it. His mode of exemplifying the rules, is, I think, extremely well accommodated to the comprehension of juvenile pupils; while the general arrangement, extent, and scicntific execution of the work, renders it worthy of adoption in both public and private seminaries.

JAMES ABERCROMBIE, D. D.

Director of the Philadelphia Academy, Messrs. Johnson & Warner.

Philadelphia, Ninth mo. 26, 1811, I HAVE examined the System of Arithmetic compiled by S. PIKE, and am of opinion that it is well calculated for conveying to youth, in a short time, a general knowledge of that science.

The commendable attention which the compiler has

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