## 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 figure Find the number Find the square Find the sum Find the values following equations formula fraction geometric means geometric progression given equation given number Hence Imaginary Numbers inversely logarithm mantissa miles an hour monomial NOTE nth root obtained perfect square permutations polynomial proportion quadratic equation quotient radical sign radicand ratio remainder result Rule Simplify Solve the equation Solve the following square roots Substitute subtract surd theorem trial divisor unknown number variable x²y x²y² zero

### Popular passages

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 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 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 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 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 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.

Page 211 - 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 210 - In any proportion the terms are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth.

Page 173 - 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.