An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 26
... suppose that from 6a - 3b + 4c . we are to subtract , 5a - 5b + 6c ; designating the remainder by R , we have the equality , R + 5a - 5b + 6c6a - 3b + 4c : which will not be altered ( Art . 49 ) by subtracting 5a , adding 56 and ...
... suppose that from 6a - 3b + 4c . we are to subtract , 5a - 5b + 6c ; designating the remainder by R , we have the equality , R + 5a - 5b + 6c6a - 3b + 4c : which will not be altered ( Art . 49 ) by subtracting 5a , adding 56 and ...
Σελίδα 35
... Suppose , in the second place , that a + b is multi- plied by c - d , the product will be ca + cb - da - db . Because the product of a + b by c , that is , ca + cb , is too great by that of a + b by d , which is da + db : we will have ...
... Suppose , in the second place , that a + b is multi- plied by c - d , the product will be ca + cb - da - db . Because the product of a + b by c , that is , ca + cb , is too great by that of a + b by d , which is da + db : we will have ...
Σελίδα 79
... suppose that the two fractions have different denominators , or that we have the equali- ties a = b . v , a = b ' . x ' ; we will multiply the two members of the first by b , and those of the second by b , an operation which will give ...
... suppose that the two fractions have different denominators , or that we have the equali- ties a = b . v , a = b ' . x ' ; we will multiply the two members of the first by b , and those of the second by b , an operation which will give ...
Σελίδα 80
... suppose that two fractions are to be multiplied by one another . 126. Let the two equalities be a = b . v , a ' = b ' . v ' ; multiplying one by the other , the two products will be equal ; thus aa ' = bb ' . vv ' , and dividing each ...
... suppose that two fractions are to be multiplied by one another . 126. Let the two equalities be a = b . v , a ' = b ' . v ' ; multiplying one by the other , the two products will be equal ; thus aa ' = bb ' . vv ' , and dividing each ...
Σελίδα 139
... suppose , in the first place , a = 1 ; the ge- neral quotient above will become a particular quo- tient corresponding to the fraction series taken indefinitely , shall be 1 = 1 + 1 + 1 + 1 + 1 + 1 + , & c . 1 The at ! In order to see ...
... suppose , in the first place , a = 1 ; the ge- neral quotient above will become a particular quo- tient corresponding to the fraction series taken indefinitely , shall be 1 = 1 + 1 + 1 + 1 + 1 + 1 + , & c . 1 The at ! In order to see ...
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