The New Complete System of Arithmetick: Composed for the Use of the Citizens of the United States

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Thomas & Andrews, 1807 - Arithmetic - 352 pages

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Page 241 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 234 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 207 - Tare is an allowance made to the buyer for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.
Page 222 - 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 214 - 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. 2. Find the greatest square number in the first, or left hand period...
Page 222 - RULE. 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 222 - Find the greatest cube in the left hand period, and put its root in the quotient. 3. Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.
Page 214 - ... 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 left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 93 - ... therefore divide as in whole numbers, and 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 36 - ... setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition.

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