The Scholars Arithmetic, Or, Federal Accountant: Containing I. Common Arithmetic ... II. Examples and Answers with Blank Spaces, Sufficient for Their Operations ... III. To Each Rule a Supplement Comprehending 1. Questions ... 2. Exercises. IV. Federal Money ... V. Interest Cast in Federal Money ... VI. Demonstrations by Engravings, of the Reason and Nature of the Various Steps in the Extraction of the Square and Cube Roots ... VII. Forms of Notes, Deeds, Bonds and Other Instruments of Writing ...

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Wright & Sibley, 1812 - Arithmetic - 216 pages
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Page 195 - Alligation is the method of mixing two or more simples, of different qualities, so that the composition may be of a mean, or middle quality. When the quantities and prices of the simples are given, to find the mean price of the mixture, compounded of them, the process is called Alligation Medial.
Page 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.
Page 169 - 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 160 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division) for the first figure of the root, and the square number under the period, and subtract it therefrom, and to the remainder bring down the next period for a dividend.
Page 160 - ... 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 169 - 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 160 - 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 196 - Then, if only one difference stand against any rate, it will be the quantity belonging to that rate ; but if there be several, their sum will be the quantity.* EXAMPLES.
Page 77 - ADDITION OF DECIMALS. RULE. 1. Place the numbers, whether mixed or pure decimals, under each other, according to the value of their places.
Page 212 - CD his heirs, executors or adminiftrators, do and ihall well and truly pay or caufe to be paid, unto the...

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