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abº algebraic ALGEBRAIC FRACTIONS algebraic quantities arithm arithmetical arithmetical means binomial coefficient continued fraction decimal Deducing divide the number dividend division entire and positive entire number enunciation equal equation evident example exponent expression extract the root factors figure find the approximate find the greatest find the number find the square find the values formula geometrical progression given number gives greater greatest common divisor less manner monomial multiplied negative nth root number corresponding number of terms obtain operations perfect square permutations polynomials problem progression by difference progression by quotient proportion proposed to find question radical sign ratio reduced remainder Required the numbers resolve result root sought second degree second power second term shillings solution square root Substituting subtract tens third power third root tion units unity unknown quantities vulgar fraction whence
Σελίδα 240 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 275 - 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.
Σελίδα 196 - 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.
Σελίδα 49 - 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.
Σελίδα 57 - 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.
Σελίδα 213 - A number consisting of three digits which are in arithmetical progression, being divided by the sum of its digits, gives a quotient 48 ; and if 198 be subtracted from the number, the digits will be inverted.
Σελίδα 144 - A and B carried 100 eggs between them to market, and each received the same sum. If A had carried as many as B, he would have received 18 pence for them; and if B had taken as many as A, he would have received 8 pence.
Σελίδα 276 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 275 - 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.