An Elementary Treatise on Algebra, Theoretical and Practical ...J. & H.G. Langley, 1838 - 391 σελίδες |
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An Elementary Treatise on Algebra: Theoretical and Practical James Ryan, Fra,Robert Adrain Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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An Elementary Treatise on Algebra: Theoretical and Practical James Ryan, Fra,Robert Adrain Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficient completing the square compound quantities consequently cube root cubic equation denominator denoted difference digits divided dividend division equa equal example exponent expression extracting the root factors find the values formula fourth given equation greater greatest common divisor Hence improper fraction integral least common multiple less letter logarithm lowest terms lues magnitudes manner method miles mixed quantity multiplied negative number of terms observed PROB problem proportion proposed equation quadratic equation quadratic surds quan quotient radical quantities radical sign ratio Reduce remainder Required the square required to find result RULE second equation shillings side simple equations square number square root substituting subtraction surd third tion tities transposition unity unknown quantity values of x whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 382 - IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents.
Σελίδα 375 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Σελίδα 148 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Σελίδα 386 - THEOB.—If four magnitudes be proportionals, they are also proportionals by conversion; that is, the first is to its excess above the second, as the third to its excess above the fourth. Let AB be to BE, as CD to DF: then BA shall be to AE, as DC to CF.
Σελίδα 380 - Equal magnitudes have the same ratio to the same magnitude; and the same has the same ratio to equal magnitudes.
Σελίδα 188 - 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 375 - When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second...
Σελίδα 390 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Σελίδα 173 - A farmer parting with his stock, sells to one person 9 horses and 7 cows for 300 dollars: and to another, at the same prices, C horses and 13 cows for the same sum.
Σελίδα 98 - Any term may be transposed from one side of an equation to the other by changing its sign.