## Ray's Algebra, Part Second: An Analytical Treatise, Designed for High Schools and Academies, Part 2 |

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### Contents

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### Common terms and phrases

added algebraic applied arithmetical assumed becomes binomial called changed coëfficients common complete consists containing continued corresponding courses cube root decimal denominator denote derived determine difference Divide division divisor equal equation evident EXAMPLES exponent expressed factors figures Find the square Find the sum find the value formula four fourth fraction geometrical given gives greater greatest Hence increased integral interest known least less letters logarithm manner means method miles Multiply negative obtained operation perform permutations pile places polynomial positive PRACTICE preceding principle problem progression proportion prove question quotient radical ratio Reduce remainder REMARK represent required to find result rule second degree side solution solved square root substituting subtracting suppose taken term theorem third tion transformed travels true units unknown quantity variations whence whole zero

### Popular passages

Page 71 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.

Page 31 - 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 128 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 128 - 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 27 - 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 171 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...

Page 23 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.

Page 16 - Multiply the coefficients of the two terms together, and to their product annex all the letters in both quantities, giving to each letter an exponent equal to the sum of its exponents in the two factors.

Page 17 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.

Page 116 - ... and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.