## Higher Algebra |

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### Contents

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### Common terms and phrases

added algebraic arithmetical arranged assume binomial called cents changed coefficients common complete divisor compound containing continued convergent denominator digits divided division divisor dollars equal equation Evidently EXAMPLE Exercise Expand exponent expression factors fifth figures Find Find the number four fourth fraction geometrical given gives greater Hence hold increased indicated integral interest less letters limit logarithm means method miles Multiply negative Note permutations positive pounds Process proportion quotient ratio Reduce remainder represent result selected Simplify Solution Solve square root Substitute Subtract surd taken term things third Transpose units unknown number zero

### Popular passages

Page 183 - To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.

Page 214 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?

Page 121 - To the product of the numerical coefficients, annex each literal factor with an exponent equal to the sum of the exponents of that letter in both factors.

Page 73 - 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.

Page 77 - The sum of any two equal odd powers of two numbers is divisible by the sum of the numbers.

Page 391 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.

Page 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.

Page 151 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.

Page 395 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.