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added to twice algebraic quantities apples which John arithmetical arithmetical means binomial Binomial Theorem called cents coefficient common difference complete equation completing the square contain contrary sign cube denote the number Divide dividend division divisor dollars enunciation equation involving EXAMPLES exponent extracting the square fifth power figure Find the square Find the sum Find the values following RULE fourth power geometrical progression give a sum Give the rule given number greyhound Hence last term least common multiple Let the number letter logarithm mixed quantity monomial multiplied negative number added number be denoted number of peaches number of terms obtain perfect square polynomial progression proportion question quills quotient ratio Reduce remainder second degree second term simplest form square root Substituting this value subtract sum equal tens third transposing trinomial twice the number units unknown quantity values of x Verification whence yards
Page 228 - 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 153 - 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 231 - Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 136 - 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 43 - Then divide the first term of the remainder by the first term of the divisor...
Page 87 - 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 54 - 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 114 - 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 33 - 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.