An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα 4
... Factors are the numbers or quantities , from the multiplication of which , the proposed numbers or quantities are produced ; thus , the factors of 35 are 7 and 5 , because 7 × 5 = 35 ; also , a and b , are the factors of ab ; 3 , a2 , b ...
... Factors are the numbers or quantities , from the multiplication of which , the proposed numbers or quantities are produced ; thus , the factors of 35 are 7 and 5 , because 7 × 5 = 35 ; also , a and b , are the factors of ab ; 3 , a2 , b ...
Σελίδα 31
... factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times . - And the same quantity ab , contains 6 as many times as a contains an unit , that is ...
... factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times . - And the same quantity ab , contains 6 as many times as a contains an unit , that is ...
Σελίδα 32
... factors ; therefore a Xanaxa xa x u Xa , & c . , continued to m + n factors ; which ( Art . 12 ) is amin . Reciprocally in can be replaced by a Xa . The quantity a is sometimes called an exponential . 72. If two quantities having like ...
... factors ; therefore a Xanaxa xa x u Xa , & c . , continued to m + n factors ; which ( Art . 12 ) is amin . Reciprocally in can be replaced by a Xa . The quantity a is sometimes called an exponential . 72. If two quantities having like ...
Σελίδα 34
... factor , multiplied by every term of the other factor , and the products added together . Let , in the first place , a + b be multiplied by c + d : a + b taken c times is ca + cb , as we have al- ready proved ; but this product is too ...
... factor , multiplied by every term of the other factor , and the products added together . Let , in the first place , a + b be multiplied by c + d : a + b taken c times is ca + cb , as we have al- ready proved ; but this product is too ...
Σελίδα 36
... factors are both simple quantities . RULE . 77. Multiply the co - efficients together , to the product subjoin the letters belonging to both the factors , and the result , with the proper sign prefix- ed , will be the product required ...
... factors are both simple quantities . RULE . 77. Multiply the co - efficients together , to the product subjoin the letters belonging to both the factors , and the result , with the proper sign prefix- ed , will be the product required ...
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