Complete Secondary Algebra

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Δημοφιλή αποσπάσματα

Σελίδα 74 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Σελίδα 316 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Σελίδα 349 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Σελίδα 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Σελίδα 216 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Σελίδα 221 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 216 - ... the terms of the binomial is negative. Observe, as a check : (vii.) The sum of the exponents of a and b in any term is equal to the binomial exponent.
Σελίδα 416 - We therefore have : (i.) The characteristic of the, logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.
Σελίδα 352 - That is, the number of combinations of n dissimilar things r at a time is equal to the number of combinations of the n things n — r at a time.
Σελίδα 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.

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