## Second Course in Algebra |

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### Common terms and phrases

7th term a²b² ab³ algebra altitude arithmetic means arithmetic progression ax² binomial Binomial Theorem CHECK coefficient column common factor complete divisor coördinates cube root denominator determinant digits Divide division 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 m²n² m³n mantissa miles an hour monomial NOTE nth root obtained Pages perfect square permutations polynomial proportion quadratic equation quotient radical sign radicand remainder result Rule Simplify Solve the equation Solve the following square roots Substitute subtract surd theorem trial divisor unknown number variable x²y x²y² x³y xy² xy³ zero

### Popular passages

Page 211 - In any proportion, the product of the means is equal to the product of the extremes.

Page 186 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

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 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 - 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 261 - 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 211 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.

Page 175 - 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 185 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 208 - The Ratio of one number to another is the quotient of the first divided by the second. Thus, the ratio of a to b is -; it is also written a : b.