Durell's School Algebra

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Charles E. Merrill, 1914 - Algebra - 523 pages

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Page 496 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 95 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 213 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
Page 413 - In a mixture of rum and brandy, the difference between the quantities of each, is to the quantity of brandy, as 100 is to the number of gallons of rum; and the same difference is to the quantity of rum, as 4 to the number of gallons of brandy. How many gallons are there...
Page 503 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 78 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 135 - Arts. 75 and 76 a trinomial is a perfect square when its first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the end terms.
Page 411 - 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 503 - Root of a Number, Divide the logarithm of the number by the index of the required root.
Page 127 - The difference of two like odd powers of two quantities is divisible by the difference of the quantities. For the quotient in all these cases— (1) The number of terms in a quotient equals the degree of the powers...

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