Elements of Algebra

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Allyn and Bacon, 1900 - Algebra - 461 pages
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Page 371 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...
Page 290 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.
Page 98 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Page 406 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 71 - 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 divisor by this first term of the quotient, and subtract the resulting product from the dividend. Divide the first term of the remainder by the first term of the divisor, and icrite the result as the second term of the quotient.
Page 225 - 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 332 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Page 221 - A man walks 35 miles partly at the rate of 4 miles an hour, and partly at 5; if he had walked at 5 miles an hour when he walked at 4, and vice versa, he would have covered 2 miles more in the same time : find the time he was walking.
Page 329 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 326 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

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