## A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of Three, Single and Double, Direct and Inverse; Barter; Loss and Gain; Reduction, Multiplication and Division of Fractions; Exchange of Currencies; Interest; and All Proportional Questions in One Rule Applicable to the Whole. The Process Greatly Simplified and Abridged |

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### Common terms and phrases

12 days 12 hours long 12 rods 2qrs 3qrs acres amount annuity Answer barrel barter bought bushels called cancelling ciphers circumference cloth cost column common difference composite number compound interest contained cords cube root currency days are 12 decimal fraction denominator diameter discount divided dividend Division divisor dollars equal EXAMPLES farthings Federal Money figure gain gallons given number guineas horse hundred improper fraction inches John Newton least common multiple length lowest terms merator merchant miles mixed number months multiply New-England New-York number of terms Operation paid pence pound present worth produced term proportion quantity QUESTIONS quotient rate per cent ratio receive Reduce remainder right hand rods sell shillings side sold square root subtract sugar Troy Weight units Vulgar Fractions weight wheat whole number yard cost yards of cloth

### Popular passages

Page 60 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 180 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.

Page 36 - The number to be divided is called the dividend. The number by which we divide is called the divisor.

Page 191 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 53 - TABLE. 10 Mills =1 Cent. 10 Cents =1 Dime. 10 Dimes =1 Dollar. 10 Dollars =1 Eagle.

Page 255 - America, to be paid to the said or his certain attorney, executors, administrators, or assigns: to which payment well and truly to be made, I bind myself, my heirs, executors, and administrators, firmly by these presents.

Page 203 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 105 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.

Page 194 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

Page 217 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be th.e answer. But if the errors are unlike, divide the sum of the products by the sum of the errors, for the answer.