An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Αποτελέσματα 1 - 5 από τα 83.
Σελίδα 2
... whole complete within itself . And a whole number is composed of units by con- tinued additions ; thus , one plus one composes two , 2 + 1 = 3 , 3 + 1 = 4 , & c . 8. Division is the subtraction of one quantity from another as often as ...
... whole complete within itself . And a whole number is composed of units by con- tinued additions ; thus , one plus one composes two , 2 + 1 = 3 , 3 + 1 = 4 , & c . 8. Division is the subtraction of one quantity from another as often as ...
Σελίδα 31
... whole product thence arising will be equal to that arising from the continual multiplication of all the single quantities . Thus , ab xcd = axbxcxd = abcd . For ab axb , and cd = cXd ; if x be put cd , then abcd = ab × x = axbxx ; but x ...
... whole product thence arising will be equal to that arising from the continual multiplication of all the single quantities . Thus , ab xcd = axbxcxd = abcd . For ab axb , and cd = cXd ; if x be put cd , then abcd = ab × x = axbxx ; but x ...
Σελίδα 32
... whole diminution be , and the sum of the whole . or the product , must be negative . 3. A positive quantity being multiplied by a ne- gative 32 MULTIPLICATION .
... whole diminution be , and the sum of the whole . or the product , must be negative . 3. A positive quantity being multiplied by a ne- gative 32 MULTIPLICATION .
Σελίδα 33
... whole compound quantity by the simple one . For , in the first place , if a + b be multiplied by c the product will be ca + cb : Since a + b is . to be repcated as many times as there are units in b ; the product of a by c , that is ...
... whole compound quantity by the simple one . For , in the first place , if a + b be multiplied by c the product will be ca + cb : Since a + b is . to be repcated as many times as there are units in b ; the product of a by c , that is ...
Σελίδα 43
... whole opera- tion ; thus , ( a + 2x ) × ( a − 2x ) × ( a2 + 4x2 ) • This method of representing the multiplication of com pound quantities by barely indicating the opera- tion that is to be performed on them , is preferable to that of ...
... whole opera- tion ; thus , ( a + 2x ) × ( a − 2x ) × ( a2 + 4x2 ) • This method of representing the multiplication of com pound quantities by barely indicating the opera- tion that is to be performed on them , is preferable to that of ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number