# Elements of Algebra: Including Sturm's Theorm (Google eBook)

A.S. Barnes & Company, 1850 - Algebra - 368 pages

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### Popular passages

Page 27 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Page 111 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 174 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 279 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Page 51 - To reduce fractions having different denominators to equivalent fractions having a common denominator. RULE. Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator. EXAMPLES. 1. Reduce ^, £, and |, to a common denominator.
Page 92 - 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 206 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 110 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 115 - ... equal to the square root of the numerator divided by the square root of the denominator.
Page 256 - ... 1. Find the sum of an arithmetical series, of which the first term is 3, last term IT, and number of terms 8.