Common School Algebra
Phillips Sampson & Company, 1855 - Algebra - 238 pages
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Page 194 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 92 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 69 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Page 219 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 193 - Multiply the divisor, with the term last annexed, by the last term of the root, and subtract the product from the last dividend.
Page 143 - There will be as many figures in the root as there are periods in the given number.
Page 215 - That is, in any proportion either extreme is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean.
Page 1 - If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.
Page 189 - THE ROOT OF ANY MONOMIAL. Extract the root of the numerical coefficient, and divide the exponent of each literal factor by the number which marks the degree of the root. The roason for this rule is manifest, since extracting a root is the reverse of finding a power.