Elements of Algebra with Exercises

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Macmillan Company, 1899 - 478 pages
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Page 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Page 354 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Page 73 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 106 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Page 357 - 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 326 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards; but if the circumference of each wheel...
Page 308 - If the resulting coefficient of я? be not + 1, divide both members by this coefficient. Complete the square by adding to both members the square of half the coefficient of x.
Page 166 - The product of two fractions is a fraction whose numerator is the product of the numerators of the given fractions, and whose denominator is the product of the given denominators.
Page 470 - We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.
Page 467 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

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