THE NEW COMPLETE SYSTEM OF ARITHMETIC, COMPOSED FOR THE USE OF THE CITIZENS OF THE UNITED STATES. By NICOLAS PIKE, A. M. ABRIDGED FOR THL USE OF SCHOOLS. FOURTH EDITION. PRINTED AT BOSTON, BY D. CARLISLE, Booksellers generally. Dec. 120.2. EXPLANATION of CHARACTERS used in this TREA TISE. "HE sign of Equality: As 17 Pence=I Shil Shilling; and, in general, that whatever pre(cedes it is equal to what follows. The sign of Addition : As, 5+5=10, that is, + 5 added to 5 is equal to 10.-Read 5 plus 5, or 5 more 5 equal to 10. The sign of Subtraction : As, 12-438, that is, 12 lessened by 4 is equal to 8, or 4 from 12 and 8 remains. Read 12 minus 4, or 12 less 4 equal to 8. The sign of Multiplication: As, 6X5=30, X that is, 6 multiply by 5 is equal to 30.-Read C6 into 5 equal to 30. The sign of Division : As, 30-3=6, that is, * Or 6)301 30 divided by 5 is equal to 6.-Read 30 by 5 equal to 6. Numbers, placed fractionwife, do likewise denote division, the Numerator or upper number being the dividend, and the Denominator or low25 er number, the divisor, thus 82% is the same as 875+35=35. The sign of Proportion, thus, 2 : 4 :: 8 : 16, Ithat is, As 2 is to 4 fo is 8 to 16. Shews that the difference between added to 6 is equal to 13.--Read 9 minus 2 plus 19-2 +6=13 6 equal to 13 ; and that the line a top (called a , Vinculuni) connects all the numbers over which it is drawn. Signifies that the sum of 3 and s taken front 875 and 9 CA 35 PBL 4.1 113 , 12 Supplement to Contractions in Mutiplication, Probs. resulting from a comparison of the preceding roles, 44 Applications of the preceding rules, Decimal-Tables of Coin, Weight and Measure, 104 Rules for reducing the Federal Coin, and the Cur- rencies of the several United States ; alio, English, Irish, and French Coins, &c. and Spanish Dollars, each to the par of all the others, Recapitulation of the preceding Rules of Exchange, Table of the value of several pieces of Coin in the Fed- erai Coin, and the several Currencies of the U, States, 138 Cross Multiplication or Duodecimals Rule of Three Direct, in Vulgar Fractions, To find the value of Gold in the Currency of the Nevi- england States and in Virginia, Rule of Three Direct in Deciinals, Rule of Three exemplified in several Questiuns relat. Reciprocal Proportion, or Rule of Three Inverse, Abbreviation of Vulgar Fractions, Compound Proportion, or, Double Rule of Three, 167 Comparison of Weights and Measures, Double Fellowship, or, Fellowship with Time, 178 |