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added affected amount answer appears Arithmetic arranged becomes binomial called cents changed Clear coefficient common considered contains cube root decimal Demonstration denominator destroy difference Divide dividend division divisor equal factors equation evident EXAMPLES Explanation exponent expression figure formula fraction given gives greater Hence highest Illustration increased indicated integral interest less letter literal logarithm lowest manner means method mixed Model Multiply negative notation obtain Operation pass performed period polynomial positive Prob problem Prod Prop proportion pupil Quot quotient radical ratio reason Reduce remainder removed represented resolved Result rule Scholium separated signifies similar simple Solution Solve square root Substituting subtract Suggestion taken term third trial divisor true twice units unknown quantity Verify Whence whole write written
Page 112 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 59 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.
Page 16 - 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 279 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 16 - A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. ILL. 23, read,
Page 130 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Page 75 - So likewise, 12 is a common multiple of 2, 3, 4, and 6, because it is divisible by each of them. The least common multiple of two or more numbers, is the least number which they will separately divide without a remainder.
Page 293 - 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.