## Elements of Algebra |

### Contents

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### Common terms and phrases

a b c a² b² a² b³ a³ b² ALGEBRAIC FRACTIONS algebraic quantities arithm arithmetical binomial called cent cistern coefficient continued fraction divide the number dividend division entire and positive entire number enunciation equal equation evident example expression extract the root factors find the greatest find the number find the values following rule formula Freeing from denominators geometrical progression given number gives greater greatest common divisor less letter logarithm manner monomial multiplied negative number of days number of terms obtain operations perfect square performed polynomials proportion question ratio received reduced remainder Required the number required to divide resolve result second degree second power second term shillings solution square root subtract third power third root tion twice units unity unknown quantity values of x whence yards

### Popular passages

Page 240 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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...

Page 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.

Page 82 - Two persons, A and B, can perform a piece of work in 16 days. They work together for 4 days, when A being called off, B is left to finish it, which he does in 36 days more. In what time could each do it separately? Ans. A in 24, B in 48 days.