Higher Algebra |
Common terms and phrases
a² b² a²x² algebraic arithmetical arithmetical mean arithmetical series binomial Clearing of fractions coefficient common factor Complete the square compound interest convergent cube root decimal denominator digits divided dividend equal equation EXAMPLE exponent Extract the square Find the H. C. F. Find the number Find the sum Find the value geometrical series greater harmonical means Hence integral letters logarithm m² n² mantissa Monomial Multiply negative series Note nth root number of dollars number of terms partial fractions polynomial Process quadratic quadratic equation quadratic surd quotient ratio result second power second term Simplify Solution square root Subtract surd Transpose trial divisor uniting like terms unknown number x² y² x²y
Popular passages
Page 183 - To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 214 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 121 - To the product of the numerical coefficients, annex each literal factor with an exponent equal to the sum of the exponents of that letter in both factors.
Page 73 - 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.
Page 77 - The sum of any two equal odd powers of two numbers is divisible by the sum of the numbers.
Page 391 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Page 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Page 151 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 395 - 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.