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added addition affected algebraic antecedent apples arithmetical becomes binomial called cents changing Charles coefficient common difference completing composed consequent considered contains cube denominator denoted difference Divide dividend division divisor dollars double entire equation EXAMPLES Explain exponent expression extracting the square factors figures Find the values following RULE four fourth fraction give a sum given greater Hence indicated interest involving James John known last term less Let the number letter logarithm means method monomial Multiply negative number added number of terms obtain perfect square person polynomial positive progression proportion question quills quotient radical ratio received Reduce remainder represent result rule second degree second term similar simplest form square root stand Substituting subtract sum equal suppose taken tens third tion transposing units unknown quantity values of x Verification whence write yards
Page 220 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 145 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Page 223 - Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 128 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 35 - Then divide the first term of the remainder by the first term of the divisor...
Page 79 - A person was desirous of giving 3 pence apiece to some beggars, but found he had not money enough in his pocket by 8 pence ; he therefore gave them each...
Page 46 - To add fractional quantities together RULE. Reduce the fractions, if necessary, to a common denominator ; then add the numerators together, and place their sum over the common denominator.
Page 106 - 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. A 14JA days, B 17fa, and C 23JT.
Page 25 - That is, 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.