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added affected algebraic apply arrangements becomes binomial called cents changed co-efficient combinations common divisor consequently consider contain continued corresponding cube root decimal deduce denominator determine difference distance Divide dividend division entire equal equation example exponent expression extract factors figures formula fourth fraction given gives greater greatest hence indicated inequality involving known least less letters logarithm manner method monomial multiplied negative nth root number of terms obtain operation perfect square performed period polynomial positive preceding principle problem progression proposed quotient radical Reduce reference remainder represent result rule satisfy second degree second term similar simplest form solution square root substituted subtract suppose taken tens term third transformation true units unknown quantity whence whole write
Page 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Page 136 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.
Page 200 - RULE I. Separate the given number into periods. of three figures each, beginning at the right hand ; the left hand period will often con tain less than three places of figures.
Page 100 - 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 will it take each person to perform the same work alone.
Page 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Page 154 - 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 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.