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added algebra arithmetic arranged Assume base becomes binomial called cents changed characteristic CHECK coefficients column common complete considered containing corresponding cube decimal denominator determinant digits Divide division elements equal equation EXAMPLE exceeds EXERCISE exponent expression factor feet figure Find formula fraction give given given equation graph greater Hence hour increases indicated integral less letters limit logarithm mantissa means method miles Multiply negative NOTE obtained permutations polynomial positive possible powers progression PROOF proportion proved quotient radical rational relation remainder result Rule Simplify SOLUTION Solve Solve the equation square roots step Substituting subtract term Theorem third tion train Transform unknown variable Write zero
Página 209 - In any proportion, the product of the means is equal to the product of the extremes.
Página 207 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.
Página 12 - 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.
Página 184 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 65 - ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Página 211 - 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.
Página 173 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 209 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.