A Complete Algebra: For High Schools, Academies and Normal Schools

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E.H. Butler & Company, 1895 - Algebra - 344 pages
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Page 57 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 56 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.
Page 52 - 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.
Page 249 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 233 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.
Page 267 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 89 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.
Page 45 - The Dividend is the quantity to be divided. The Divisor is the quantity by which we divide. The Quotient is the result, •which shows how many times the divisor is contained in the dividend.
Page 245 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 18 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.

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