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a²b2 added addition amount arithmetical base binomial called changed CHAPTER Clearing coefficient combinations common Completing the square containing continued convergent corresponding cube decimal denominator difference divided dividend division divisor dollars equal EXAMPLES EXERCISE exponent expression Extract the square factors feet figures Find find the number formula four fourth fraction geometrical given gives greater Hence hour imaginary increased indicated integral interest less letters logarithm mantissa means minus Multiply negative obtain operation Perform permutations polynomial positive pounds Progression proportion quadratic equation quotient radical ratio Reduce remainder represent respectively result rule second term side solution Solve square root Substituting Subtracting surd taken Taking term things third Transposing trinomial twice uniting unknown quantity zero
Σελίδα 20 - 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.
Σελίδα 217 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 271 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Σελίδα 220 - If three quantities are in continued proportion, the first is to the third as the square of the first is to the square of the second. Let a : b = b : c. Then, 2=*. b с Therefore, ^xb. = ^x± b с bb Or °r
Σελίδα 214 - In any proportion, the product of the means equals the product of the extremes.
Σελίδα 284 - For the first place can be filled in n ways, the second in n - 1 ways, the third place in n - 2 ways, and the rth place in n - (r - 1) ways.
Σελίδα 258 - If the coefficient of any term be multiplied by the exponent of a in that term, and the result divided by the exponent of x in the term increased by 1, the quotient will be the coefficient of the next following term.