Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Part 1 |
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added algebraic quantities apples arithmetical progression arithmetical series binomial bought bushels called coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars elimination entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter manner method minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Ray's Reduce remainder represent the number required the numbers required to find result rule second degree sheep solution solving square root subtracted theorem three numbers tion tities transposing twice unknown quantity whole number
Popular passages
Page 179 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 62 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 204 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 236 - In any proportion the product of the means is equal to the product of the extremes.
Page 130 - What two numbers are as 2 to 3 ; to each of which, if 4 be added, the sums will be as 5 to 7 ? Prob.
Page 107 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 65 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 50 - Hence, The exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the Rule of the Exponents. 3. What is the product of a2 by a2 ? Ans.
Page 62 - ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...