Elements of Algebra: Including Sturms' TheoremA.S. Barnes & Company, 1850 - 368 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
affected algebraic quantities arithmetical arithmetical progression binomial co-efficient common difference consequently contrary signs cube root decimal deduced denominator denote divide dividend division entire number enunciation equa equal equation involving example expression extract the square factors figure find the square find the values formula fourth fraction given equation given number gives greater greatest common divisor hence inequality last term least common multiple less letter logarithm monomial multiplicand multiplied negative nth root number of terms obtain operation ounces perfect square polynomial positive roots preceding problem progression proposed equation quan quotient radical sign Reduce remainder result rule second degree second member second term simplest form square root substituted subtract suppose supposition take the equation third tion transposing trinomial unity unknown quantity whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 25 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 109 - 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 172 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 277 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Σελίδα 49 - To reduce fractions having different denominators to equivalent fractions having a common denominator. RULE. Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator. EXAMPLES. 1. Reduce ^, £, and |, to a common denominator.
Σελίδα 90 - 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 would it take each person to perform the same work alone ? Ans.
Σελίδα 204 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 108 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 113 - ... equal to the square root of the numerator divided by the square root of the denominator.
Σελίδα 254 - ... 1. Find the sum of an arithmetical series, of which the first term is 3, last term IT, and number of terms 8.