An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα 48
... ; we shall always have , amam + dXaam + d + x , " and equalising the exponents , because the prece- ding equality cannot have place , but under this consideration , m = m + d + x , subtracting m + d from both sides , the final 48 DIVISION .
... ; we shall always have , amam + dXaam + d + x , " and equalising the exponents , because the prece- ding equality cannot have place , but under this consideration , m = m + d + x , subtracting m + d from both sides , the final 48 DIVISION .
Σελίδα 49
Theoretical and Practical James Ryan, Robert Adrain. subtracting m + d from both sides , the final result will be x = -d then the quotient is a ( 3 ) ; In order to explain this , let us resume the divi- sion of am by a " , or by am + d ...
Theoretical and Practical James Ryan, Robert Adrain. subtracting m + d from both sides , the final result will be x = -d then the quotient is a ( 3 ) ; In order to explain this , let us resume the divi- sion of am by a " , or by am + d ...
Σελίδα 77
... sides by b which has no factor common with a , we shall have α " ' a b • ( 2 ) . Thus v will represent the value of the fraction or the quotient of the division of a by b . 118. If the numerator and denominator of a fraction be both ...
... sides by b which has no factor common with a , we shall have α " ' a b • ( 2 ) . Thus v will represent the value of the fraction or the quotient of the division of a by b . 118. If the numerator and denominator of a fraction be both ...
Σελίδα 78
... side byb , α mx v 16 m m ( 7 ) .. 120. If a fraction is to be divided by m , it is the same whether the numerator be divided by m , or the de- nominator multiplied by it . For , from the equality ( 1 ) , we deduce these α v ( 8 ) ...
... side byb , α mx v 16 m m ( 7 ) .. 120. If a fraction is to be divided by m , it is the same whether the numerator be divided by m , or the de- nominator multiplied by it . For , from the equality ( 1 ) , we deduce these α v ( 8 ) ...
Σελίδα 79
... side of the sign , are added together , and likewise those on the right . The same thing is to be understood when two equalities are subtracted , multiplied , & c . 122. If two fractions have a common denominator , their difference is ...
... side of the sign , are added together , and likewise those on the right . The same thing is to be understood when two equalities are subtracted , multiplied , & c . 122. If two fractions have a common denominator , their difference is ...
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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