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added addition affected algebraic arithmetical binomial cents changed coefficient common denominator complete consequently consisting containing cube root Define denote difference Divide dividend division equal equation EXAMPLES Explain the operation exponent expression factors figures find the values formulas four fourth fraction geometrical Given gives greatest common divisor Hence indicated known last term less letter means method miles Multiply negative NOTE number of terms obtain perfect person polynomial positive pounds problem progression proportion quadratic equation quotient radical Raise ratio Reduce remainder Repeat the Rule represent Required Resolve result second operation similar simple solution solved square root Substituting subtraction taken Theorem third tion transposing twice units unknown quantity values of x Whence whole write
Page 55 - 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 85 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.
Page 46 - Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend, diminished by its exponent in the divisor.
Page 281 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.