An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα v
... manner , the Elements of Algebra , both in theory and practice . Those authors of whose labours I have principally availed myself , are Euler , Clai- raut , Lacroix , Garnier , Bezout , Lagrange , Newton , Simpson , Emerson , Wood ...
... manner , the Elements of Algebra , both in theory and practice . Those authors of whose labours I have principally availed myself , are Euler , Clai- raut , Lacroix , Garnier , Bezout , Lagrange , Newton , Simpson , Emerson , Wood ...
Σελίδα 8
... manner , the terms of a product , fraction , or pro- portion , are the several parts or quantities of which they are composed ; thus , a and b are the terms of ab , or of ; and a , b , c , d , are the terms of the proportion ab :: c : d ...
... manner , the terms of a product , fraction , or pro- portion , are the several parts or quantities of which they are composed ; thus , a and b are the terms of ab , or of ; and a , b , c , d , are the terms of the proportion ab :: c : d ...
Σελίδα 9
... manner whatever , either combined , or not , with known quantities ; thus , a + 2x , ax + 3ax2 , 5ax3- 3a2 , & c . are functions of x ; and 3ax2 + xy2 , 2 ( x2 + 5xy ) , & c . are functions of x and y . 34. When quantities are connected ...
... manner whatever , either combined , or not , with known quantities ; thus , a + 2x , ax + 3ax2 , 5ax3- 3a2 , & c . are functions of x ; and 3ax2 + xy2 , 2 ( x2 + 5xy ) , & c . are functions of x and y . 34. When quantities are connected ...
Σελίδα 10
... manner , it may be shown that the ex- pression a - b + c - d is positive or negative accord- ing as ac is > or < b + d ; and so of all com- pound quantities whatever . 37. The use of these several signs , symbols , and abbreviations ...
... manner , it may be shown that the ex- pression a - b + c - d is positive or negative accord- ing as ac is > or < b + d ; and so of all com- pound quantities whatever . 37. The use of these several signs , symbols , and abbreviations ...
Σελίδα 15
... manner as the latter , the sign - must be prefixed to the result ; so that if a be greater than a , it is evident that 5 ( A - α ) +3 ( A - a ) , or ( 5A - 5a ) + ( 3A - 3a ) = 8A - 8a ; and therefore the sum of the quantities -5a and ...
... manner as the latter , the sign - must be prefixed to the result ; so that if a be greater than a , it is evident that 5 ( A - α ) +3 ( A - a ) , or ( 5A - 5a ) + ( 3A - 3a ) = 8A - 8a ; and therefore the sum of the quantities -5a and ...
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