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added algebraic quantities arithmetical binomial bºc called cent coefficient completing the square contain continued fraction cube root decimal difference divide the number dividend division entire and positive entire number enunciation equal equation equidifference evident exponent expression extract the root factors figure find a number find the approximate find the greatest find the values following rule formula geometrical progression given number gives greater greatest common divisor indeterminate less logarithm manner multiplied negative nth root number corresponding number of letters number of terms º º obtain operations perfect square performed polynomials positive numbers problem proportion proposed to find question radical sign ratio reduced remainder Required the numbers required to divide resolve result root sought second degree second term shillings simple quantity solution square root substitute subtract tens third root tion units unity unknown quantities whence
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.