Second Course in Algebra |
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7th term a²b² algebra altitude arithmetic means arithmetic progression arithmetical number ax² binomial Binomial Theorem CHECK coefficient column common factor common logarithms complete divisor coördinates cube root decimal point denominator determinant digits Divide division Draw the graph equal EXAMPLE exceeds EXERCISE exponent expression feet figures Find the number Find the square Find the sum Find the values following equations formula fraction geometric progression given equation given number Hence inversely logarithm mantissa miles an hour monomial NOTE nth root obtained perfect square permutations polynomial proportion quadratic equation quotient radical sign radicand ratio rational and integral remainder result Rule Simplify Solve the equation Solve the following square roots Substitute subtract surd theorem trial divisor unknown number variable x²y x²y² x³y zero
Popular passages
Page 205 - In any proportion, the product of the means is equal to the product of the extremes.
Page 232 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
Page 203 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
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 180 - 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 - 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 61 - ... divide the first term on the left of the dividend by the first term on the left of the divisor, the result is 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 207 - 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.
Page 206 - 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.
Page 215 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.