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Elementary Algebra: Embracing the First Principles of the Science
Πλήρης προβολή - 1856
ac ac algebraic quantities arithmetical arithmetical means binomial Binomial Theorem called cents Charles common denominator common difference complete equation completing the square contain contrary sign cube decimal Divide dividend division divisor dollars double product enunciation equation involving example exponent extracting the square fifth power figure find a number Find the square Find the sum Find the values following RULE fourth power geometrical progression give a sum Give the rule given number greater greyhound Hence last term leaps least common multiple Let the number logarithm minus mixed quantity monomial Multiply negative number added number of terms obtain ounces of silver perfect square polynomial proportion question quotient ratio Reduce remainder second degree second power second term simplest form square root Substituting this value subtract sum equal take the equation tens third three terms tion transposing trinomial twice the product unknown quantity Verification whence yards
Σελίδα 230 - 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.
Σελίδα 155 - 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.
Σελίδα 233 - Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Σελίδα 138 - 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.
Σελίδα 45 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 89 - 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...
Σελίδα 56 - 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.
Σελίδα 116 - 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.
Σελίδα 35 - 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.