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Elements of Algebra: Translated from the French of M. Bourdon; Revised and ...
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added addition affected algebraic already apply approximate arranged becomes binomial called changing co-efficient composed consequently considered contain continued contrary cube denominator denote determine difference divide dividend division double entire enunciation equal equation evident exact example exponent expression factor figure formula four fourth fraction given gives greater greatest common divisor Hence indicated inequality involving known least less letter logarithm manner means method monomial multiplied necessary negative observe obtain operation particular perfect square performed period polynomial positive preceding principle problem progression proposed equation question quotient radical reduced reference remainder REMARK represent resolved respect result rule satisfy second degree second term square root substituted subtract suppose suppress taken tens term third tion transformation true units unity unknown quantity whence whole write
Σελίδα 156 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 1 5| days, but B would have been 28 days in performing A's journey How far did each travel ? Ans.
Σελίδα 120 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 99 - A person bought a chaise, horse, and harness, • for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Σελίδα 123 - 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 37 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Σελίδα 74 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Σελίδα 31 - 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.
Σελίδα 250 - That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one.