## A Complete Algebra: For High Schools, Academies and Normal Schools |

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### Contents

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### Common terms and phrases

A's money acres Adding algebraic arithmetical mean arithmetical progression binomial coefficient complete divisor complete the square cows cube root decimal denominator difference digits Divide the number equal Equation Art Extracting the square factors feet figures Find the H. C. D. find the numbers find the series Find the sum Find the value following equations following RULE geometrical mean geometrical progression Given Hence highest common divisor horse house cost logarithm mantissa miles an hour minus monomial negative nth remainder nth root nth term number increased number of terms polynomial positive PRINCIPLE PROBLEMS proportion quadratic equation quotient radical sign ratic rational second term sheep Solve the equation Solve the following square root Substituting these values Subtracting THEOREM third three numbers three-cent pieces twice unknown quantities Whence Writing the result

### Popular passages

Page 57 - 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 56 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.

Page 52 - 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 249 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 233 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.

Page 267 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 89 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.

Page 45 - The Dividend is the quantity to be divided. The Divisor is the quantity by which we divide. The Quotient is the result, •which shows how many times the divisor is contained in the dividend.

Page 245 - 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 18 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.