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algebraic quantity approximating fraction arithmetical arithmetical means arithmetical progression becomes binomial formula called cents common difference contrary signs cube root decimal places deduce denote the number derived polynomial dividend division entire number equation Art equation x2 example exponent extract the square figures Find the square find the values following RULE formula fourth given equation given number gives greatest common divisor hence indicated inequality infinite number irreducible fraction last term leading letter least common multiple less logarithm monomial multiplicand multiplied negative roots nth root number of terms obtain operation perfect square positive roots preceding principle problem progression proposed equation quotient radical sign real roots Reduce remainder required root required to find result roots is equal satisfy second degree second member second term simplest form square root subtract superior limit suppose supposition take the equation taken tion transformed equation transposing unknown quantity whence
Σελίδα 121 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 39 - 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.
Σελίδα 10 - Logic is a portion of the art of thinking; language is evidently, and by the admission of all philosophers, one of the principal instruments or helps of thought; and any imperfection in the instrument or in the mode of employing it is confessedly liable, still more than in almost any other art, to confuse and impede the process and destroy all ground of confidence in the result.
Σελίδα 200 - RULE. I. Separate the given number into periods of three figures each, beginning at the right hand ; the left hand period will often contain less than three places of figures.
Σελίδα 100 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Σελίδα 35 - We have, then, for the multiplication of polynomials, the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier in succession, aff'ccting the product of any two terms with the sign plus, when tlieir signs are alike, and with the sign minus, when their signs
Σελίδα 41 - Divide the coefficient of the dividend by the coefficient of the divisor.