Daboll's Schoolmaster's Assistant

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E. Bliss, 1825 - Arithmetic - 240 pages

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Page 180 - 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 174 - But if any payments be made before one interest hath accrued, 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...
Page 191 - 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 100 - Multiply the second and third terms together, and divide their product by the first term ; the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.
Page 86 - Multiply the decimal by the number of parts in the next less denomination, and cut oft' so many places for a remainder, to the right hand, as there are places in the given decimal.
Page 190 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
Page 159 - Multiply each numerator into all the denominators, except its own, for a new numerator ; and all the denominators together, for a common denominator, which written under the several numerators, will give the fractions required.
Page 166 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 189 - Alligation Medial, and Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the mean price of the mixture composed of those materials.
Page 119 - Deduct the tare and trett as before, and divide the suttle by 168 (because 2 Ib. is the T^ of 3 cwt.) the quotient will be the cloff, which subtract from the suttle, and the remainder will be the neat weight.

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