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added addition affected algebraic arithmetical binomial cents changed coefficient common denominator complete consequently consisting containing cube root Define denote Divide dividend division equa equal equation equivalent 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 manner means method miles Multiply negative Note number of terms obtain perfect person polynomial positive pounds principles problem progression proportion quadratic equation quotient radical Raise ratio Reduce remainder Repeat the Rule represent Required Resolve result second power similar simple solution solved square root Substituting subtraction taken Theorem third tion tity transposing twice units unknown quantity values of x Whence whole write
Σελίδα 52 - 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.
Σελίδα 284 - ... two triangles are to each other as the products of their bases by their altitudes.
Σελίδα 166 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 69 - The LEAST COMMON MULTIPLE of two or more quantities is the least quantity that can be divided by each of them without a remainder.
Σελίδα 271 - 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.
Σελίδα 172 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 49 - 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.
Σελίδα 298 - The mean proportional between two quantities is equal to the square root of their product.