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added addition algebraic arithmetical 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 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 runs side simple Simplify Solve square root stands Substitute Subtract surd symbol taken term third train travels twice units unknown number write written yards
Página 295 - 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 295 - 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 309 - 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 308 - Given that the area of a circle varies as the square of its radius...
Página 286 - If twelve times the units' digit be subtracted from the number, the order of the digits will be reversed. Find the number.
Página 293 - The first term of a ratio is called the antecedent, and the second term the consequent.
Página 201 - In the first term, the exponent of a is the same as the exponent of the power to which the binomial is raised ; and it decreases by one in each succeeding term.