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

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### Contents

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### Common terms and phrases

alſo annuity annum answer arch assumed root Avoirdupois base breadth caſe cent circle circumference common difference completing the square compound interest cost cube root cubick currency cyphers decimal denominator diameter ditto divide the produćt dividend divisor dollars Dominical Letter equal equation ExAM ples Examples farthings feet figure find the value firſt foot fourth fraćtion frustum gain gallons given number given quantity Golden Number half inches laſt last term length leſs livres Livres Tournois logarithm miles moidores months Multiply muſt number of terms º º º pence perpendicular pounds present worth principal Proble proportion quotient ratio Reduce 100l remainder repetend Rule Rule.—Multiply ſame ſeries shillings side solid specifick gravity ſquare square root subtract Suppose Table third vulgar fraction weight whole number whoſe yard

### Popular passages

Page 181 - RULE. •f- 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure beyond the place of units. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.

Page 183 - 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 245 - The present worth of any sum, due some time hence, is such a sum, as, if put to interest, would in that time, and at the rate per cent. for which the discount is to be made, amount to the sum or debt then due.

Page 175 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of.

Page 53 - 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 134 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time will 24 men build one 200 feet long, 8 feet high, and 6 feet thick ? 8 : 12 : : 20x6x4 24: 200x8x6 80 (lays, Jlns.

Page 175 - ... and subtract it therefrom, and to the remainder bring down the next period for a dividend. 3. " Place the double of the root, already found, on the lefl hand of the dividend for a divisor. 4. " Seek how often the divisor is contained...

Page 170 - Tret are practical rules for deducing certain allowances, •which are made by merchants and tradesmen in selling their goods by weight.

Page 75 - ... 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.

Page 181 - Seek how often the divisor may be had in the dividend, and place the result in the quotient.