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Elements of Algebra: Translated from the French of M. Bourdon; Revised and ...
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added affected algebraic apply approximate arrangements becomes binomial called co-efficient combinations composed consequently considered contain cube root denominator denote determine difference divide dividend division entire enunciation equal equation evidently example exponent expression extract factors figure follows formula four fourth fraction given gives greater greatest common divisor Hence indicated involving least less letters logarithm manner means method monomial multiplied necessary negative number of terms observe obtain operation particular perfect perform period polynomial positive preceding principle problem progression proposed equation question quotient radical raise reduced reference remainder REMARK resolve result rule satisfy second degree second term square root substituting subtract suppose taken tens term third tion transformation true units unity unknown quantity whence whole number
Page 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.
Page 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.
Page 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?
Page 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.
Page 37 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Page 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?
Page 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.
Page 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.