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added addition affected algebraic apply approximating arranged becomes binomial called changed co-efficient consequently consider contain continued contrary corresponding cube root decimal deduce denominator denote determine difference Divide dividend division enter entire equal equation evident exact example exponent expression extract factors figures formula fourth fraction given equation gives greater greatest common divisor hence indicated inequality involving known least less letter limit logarithm manner means method monomial multiplied negative number of terms obtain operation performed polynomial preceding principles problem progression proposed quotient Reduce reference remainder represent respect result satisfy second degree second member second term similar simplest form square root substituted subtract suppose taken tens term third transformed true units unknown quantity variations whence write written
Página 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 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.
Página 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Página 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.
Página 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.
Página 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.
Página 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Página 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.