## A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |

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### 常見字詞

added amount annuity annum answer Balance base Bills body Book bushels called Cash cent circle common compound contained continued cost cube currency decimal denominator diameter difference Divide dividend division divisor dollars double English equal evident EXAMPLES expressed feet figure foot four fourth fraction gain gallons give given gold greater greatest half hand Hence hundred inches interest least Leger length less livres loss manner mean measure method miles months Multiply Note number of terms paid payment pence pounds present worth principal Prob PROBLEM Proof proportion quantity question quotient ratio received Reduce remainder root Rule shillings side simple solid square square root Stock subtract Suppose Table taken things third unit weight whole yard

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第 263 頁 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal ; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal, and interest is...

第 349 頁 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.

第 191 頁 - 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.

第 199 頁 - Find the first figure of the root by trial, and subtract its power from the" left hand period of the given number. 5. To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply, it by the number denoting the given power, for a divisor.

第 69 頁 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.

第 86 頁 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.

第 281 頁 - 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.

第 262 頁 - If there be after-payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.

第 262 頁 - ... then compute the interest on the principal sum due on the obligation for ONE YEAR, add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest added as above.

第 346 頁 - RULE. 1. Take any number and perform the same operations with it as are described to be performed in the question. 2. Then say as the sum of the errors is to the giren sum, so is the supposed number to the true one required.