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added addition algebraic arithmetical arranged binomial called cent changed CHAPTER coefficient common factor complete compound contain corresponding count decimal denominator difference digits Divide division divisor dollars equal equation example Exercise exponent expression Extract factors feet figures Find the number four fourth fraction given gives greater Hence hour imaginary increased indicated integral interest involving length less letters logarithm means method miles an hour minutes Multiply negative NOTE obtained positive problem proportion quadratic quantities quotient radical ratio Reduce remainder represented Resolve into factors result rule side simple Simplify Solve square root stands Substitute Subtract surd symbol taken term third train travels twice units unknown number write written yards
Página 51 - Divide the first term of the dividend by the first term of the divisor.
Página 289 - For, if a : b = с : d, ,, ac then - = — bd Multiplying by bd, ad = be. The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.
Página 338 - 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 289 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -
Página 303 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Página 117 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Página 302 - Given that the area of a circle varies as the square of its radius...
Página 280 - If twelve times the units' digit be subtracted from the number, the order of the digits will be reversed. Find the number.
Página 287 - The first term of a ratio is called the antecedent, and the second term the consequent.