A School Algebra |
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added algebraic arithmetical binomial called cent changed CHAPTER coefficient common factor complete compound contain corresponding count cube decimal denominator difference digits Divide division divisor dollars equal equation example Exercise exponent expression Extract factors feet figures Find the number four fraction given gives greater Hence hour increased indicated integral interest length less letters logarithm means method miles an hour minutes Multiply negative NOTE obtained positive problem proportion quadratic quotient radical ratio Reduce remainder represented Resolve into factors result rule side Simplify Solve square root stands Substitute Subtract surd taken term third train travels twice units unknown number write written yards
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Page 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.
Page 344 - 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.
Page 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- — -
Page 309 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 117 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 308 - Given that the area of a circle varies as the square of its radius...
Page 286 - If twelve times the units' digit be subtracted from the number, the order of the digits will be reversed. Find the number.
Page 293 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 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.
Page 297 - Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth ; and so on.