The Complete Algebra ...

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Sheldon, 1881 - Algebra - 439 pages
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Page 112 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 6 - A divisor of two numbers is a divisor of their sum, and also of their difference.
Page 59 - 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 16 - 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 whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 279 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 16 - A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. ILL. 23, read,
Page 130 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Page 75 - So likewise, 12 is a common multiple of 2, 3, 4, and 6, because it is divisible by each of them. The least common multiple of two or more numbers, is the least number which they will separately divide without a remainder.
Page 293 - 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 246 - ... the head and tail together ; what is the length of the fish ? 3. The head of a fish is 12 inches long, the tail is as long as the head + of the body, and the body is as long as the head and tail ; what is the length of the fish?

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