Advanced Course in Algebra (Google eBook)

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D.C. Heath & Company, 1904 - Algebra - 622 pages
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Page 56 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Page 198 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...
Page 43 - 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 201 - Extract the cube root of the first term, write the result as the first term of the root, and subtract its cube from the given expression; arranging the remainder in the same order of powers as the given expression.
Page 41 - ... with an exponent equal to its exponent in the dividend minus its exponent in the divisor, omitting those letters whose exponents become zero.
Page 339 - 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 337 - In any proportion, the terms are in proportion by Division ; that is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Let .the proportion be a : b = с : d.
Page 193 - Divide the first term of the remainder by three times the square of the root already found, and write the quotient for the next term of the root.
Page 407 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 174 - The number of terms is greater by 1 than the exponent of the binomial. 2. The exponent of a in the first term is the same as the exponent of the binomial, and decreases by 1 in each succeeding term.

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