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added algebraic already approximate arithmetical arrangements becomes binomial called cent coefficient consequence consisting contain continued cube Deducing denominator determine difference divide dividend division divisor easy entire number equal equation evident example exponent expression extract factors figure find the values formula four fourth fraction given gives greater greatest common divisor indicated interest known less letters logarithm manner means multiplied necessary negative observed obtain operations performed polynomials positive preceding principal problem progression proportion proposed question quotient radical raised ratio readily received reduced remainder represent resolve respectively result root rule second term shillings sides solution sought square square root Substituting subtract successively sufficient supposed taken tens term third tion twice units unity unknown quantities whence whole write
Side 26 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Side 113 - 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.
Side 261 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left.
Side 185 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.
Side 47 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Side 202 - Therefore, any term of the progression is equal to the first term multiplied by the ratio raised to a power 1 less than the number of the term.
Side 142 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Side 38 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.