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

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added amount angle annuity annum answer arch Balance base body bought bushel called cent circle common difference compound contains continually cost cube currency cyphers decimal denominator diameter difference distance ditto Divide dividend divisor dollars double equal equation EXAMPLES extract extremes fall feet figure firſt foot four fourth fraction gain gallons give given gold greater greatest half hand hour hundred inches interest last term least length less logarithm mean measure method miles mixed months Multiply Note number of terms payment pence perpendicular pounds present worth principal PROBLEM proportion quantity question quotient ratio Reduce remainder repetend root Rule shillings side simple solid square square root subtract Suppose Table taken third triangle unit weight whole yard

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Side 183 - 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.

Side 185 - 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.

Side 247 - 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.

Side 177 - 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.

Side 61 - 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.

Side 136 - 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.

Side 177 - ... 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...

Side 172 - Tret are practical rules for deducing certain allowances, •which are made by merchants and tradesmen in selling their goods by weight.

Side 79 - ... 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.

Side 183 - Seek how often the divisor may be had in the dividend, and place the result in the quotient.