Second Course in Algebra
D.C. Heath & Company, 1913 - Algebra - 285 pages
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added algebra altitude arithmetic arranged base becomes binomial called changed characteristic CHECK coefficient column common complete considered containing decimal denominator determinant digits Divide division elements equal equation EXAMPLE exceeds EXERCISE exponent expression factor feet figures Find formula fraction give given graph Hence hour increased indicated integral less letters limit logarithm mantissa means method miles Multiply negative NOTE obtained Page Pages perfect permutations polynomial positive progression PROOF proportion proved quadratic equation quotient radical rational remainder result Rule Simplify SOLUTION Solve Solve the equation square roots step Substitute subtract term third train trial divisor unknown variable varies Write zero
Page 209 - In any proportion, the product of the means is equal to the product of the extremes.
Page 183 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 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.
Page 184 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 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.
Page 207 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 211 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 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...
Page 259 - The last two figures of the root are found by division. The rule in such cases is, that two less than the number of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of the root already found.
Page 210 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.