## A School Algebra: Designed for Use in High Schools and Academies |

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### Common terms and phrases

a²b a²b² ab² added algebraic antilog arithmetic arranged ax² binomial called cent changed coefficient combining common factor contains cost cube root decimal denominator denotes determinant difference distance Divide division divisor equal equation example exponent expressed factors figures Find follows formula fourth fraction give given greater Hence indicated integer interest less letters logarithms manner method miles monomial Multiply negative obtain operations piece polynomial positive problem quotient radical ratio Reduce remainder represented Resolve into factors result second term seen shown solution Solve the equations square root Substituting subtracted succession taken third transposing trinomial twice units unknown number unlike whence Write written x²y²

### Popular passages

Page 57 - 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 75 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.

Page 297 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.

Page 76 - 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 118 - A fraction is one or more of the equal parts of a unit...

Page 295 - WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third, they are said to be in HARMONICAL PROPORTION, and a series of numbers in continued harmonical proportion, constitutes a HARMONICAL PROGRESSION.

Page 295 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.

Page 269 - 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 25 - Multiplication is the process of taking one number as many times as there are units in another number.

Page 270 - In any proportion, the product of the extremes equals the product of the means.