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 LARGB PROPORTION OF WHICH ARE IN FEDERAL MONEY. THE WHOLE DESIGNED TO IBRIDGE THE LABOUR OF TEACHERS, AND TO FACILITATE THE INSTRUCTION OF YOUTH. A NEW EDITION, WITH CORRECTIONS AND ADDITIONS BY THE AUTHOR. REVISED. COMPILED BY STEPHEN PIKE. PHILADELPHIA: PUBLISHED AND SOLD BY THOMAS DAVIS, No. 171 MARKET STREET. 1845 ENTERED according to Act of Congress, in the year 1838, by M-CARTY & Davis, District of Pennsylvania HARVAR EXPLANATION OF CHARACTERS. Signs. Significations. equal; as 20s.-L. 1. more; as 6+2=8. less; as 8-2=6. into, with, or multiplied by; as, 6x2=12. by (i.e. divided by) as, 6+2=3; or, 2)6(3. proportionality; as, 2 : 4 :: 6 : 12. ✓or y Square Root; as, 64=8. Cube Root; as, 764=4. A Vinculum ; denoting the several quantities 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. 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. |