The Elements of Algebra: Chiefly Intended for Schools, and the Junior Classes in Colleges |
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Common terms and phrases
2ab+b² 3a²b+3ab² a+b+c a²+2ab+b² a³b ab² ab³ algebraical expressions algebraical quantities arithmetic arithmetic mean arithmetic series ax² b² a² binomial coefficient common difference compound cube root digits divided dividend division equal Extract the square factor Find the greatest Find the number Find the sum fraction geometrical progression greatest common divisor greatest common measure Hence last term least common multiple less letters lowest terms multiplied negative number of terms numerator and denominator permutations quadratic equation quotient ratio reduced remainder result rule shew simple term square root subtract surd taken third unity unknown quantity variations whence write written xy³
Popular passages
Page 28 - To find the product of two or more fractions, "Multiply the numerators together for a new numerator, and the denominators together for a
Page 171 - consecutive terms being taken; the first is to the third as the difference between the first and second is to the difference between the second and the third.
Page 12 - Divide the first term of the dividend by the first term of the divisor, and set down the
Page 145 - the product of the extremes equals the product of the means; and conversely, if the product of two quantities be equal to the product of
Page 24 - Multiply each numerator into all the denominators except its own, for. new numerators, and all the denominators together for a new denominator.
Page 176 - There are 3 numbers in arithmetical progression whose sum is 18; but if you multiply the first term by 2, the second by 3, and the third by 6, the products will be in geometrical progression; find them. Ans. 3, 6, 9.
Page 123 - 104 ; the square of the middle digit exceeds twice the product of the other two by 4, and if 594 be taken from the number the digits will be inverted.
Page 114 - A cistern can be filled by 3 pipes; by the first in 2 hours, by the second in 3 hours, and by the third in 4 hours. In
Page 121 - bought a number of sheep for £80., if he had bought 4 more for the same money, he would have paid £l. less for each.
Page 116 - which divided by the sum of its digits, gives a quotient 7; but if the digits be written in an inverse order, and the number so arising be divided by the sum of the digits increased