An Algebra for High Schools and Academies

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Butler, Sheldon, 1902 - Algebra - 445 pages
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A great book ...... Helped me alot....

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Page 85 - That is, 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 85 - 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 149 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 246 - 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 86 - The product of the sum and difference of two quantities is equal to the difference of their squares.
Page 374 - B's journey in 15$ days, but B would have been 28 days in performing A's journey. What was the distance between C and D ? Ans.
Page 372 - A farmer bought some sheep for 72, and found that if he had received 6 more for the same money, he would have paid 1 less for each. How many sheep did he buy ? 13. A and B distribute 60 each among a certain number of persons : A relieves 40 persons more than B does, and B gives to each 5*.
Page 382 - There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15.
Page 384 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 161 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

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