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. A New Edition, with Corrections and Additions by the Author. COMPILED BY STEPHEN PIKE. Philadelphia: PUBLISHED AND SOLD BY M'CARTY & DAVIS, Stereotyped by L. Johnson,....Philadelphia. Eastern District of Pennsylvania, to wit: BE IT REMEMBERED, That on the Fourteenth day of August, in the forty-ninth year of the Independence of the United States of America, A. D. 1824, M'Carty & Davis, 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: 66 "The Teacher's 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 66 Teachers, and to facilitate the instruction of youth. A new edition, with corrections and additions by the author. Compiled by Stephen Pike." In Conformity to the Act of the Congress of the United States, intitled, "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 Eastern District of Pennsylvania. Hist. of Lei Johnson's 7-23-30 22566 PREFACE. 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 gradations, 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 is 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 TEACHERS' 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 Reduction is introduced, which appears necessary, in order to explain that rule, as well as Compound Multiplication and Compound Division. |