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according added addition algebraic applying arrangements binomial Calculate called changed CHAPTER coefficients common condition Consider contains convergent corresponding cube decimal definition denominator determinant difference divided division divisor equal equation equivalent example EXERCISE exponent expression factors figures Find formula four fourth fraction given gives greater Hence imaginary increases inequality integer interest involving less letters limit logarithm means method multiplied negative obtained operation places positive preceding principle problem proved quotient rational reduced relation remainder represented respectively result root rule satisfy side solution Solve square square root substituting subtraction Suppose surd symbols taken theorem things third tion triangle unknown quantities written zero
Page 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Page 662 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Page 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Page 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 586 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Page 181 - 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 ? 43.
Page 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Page 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Page 586 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.