A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 5
... result , namely 8 . 8. V. The mark X or a dot ( . ) placed between two quan- tities indicates that one of them is to be multiplied by the other thus , 5 × 7 , or 5.7 , means that 5 and 7 are to be multiplied together ; and a X , or a.x ...
... result , namely 8 . 8. V. The mark X or a dot ( . ) placed between two quan- tities indicates that one of them is to be multiplied by the other thus , 5 × 7 , or 5.7 , means that 5 and 7 are to be multiplied together ; and a X , or a.x ...
Página 6
... result : also , 4abx , 4xab , 4bax , b4xa , & c . are all of the same value . * But it is customary to place those factors first which are expressed in figures , and next those which are denoted by letters , arranging them in the order ...
... result : also , 4abx , 4xab , 4bax , b4xa , & c . are all of the same value . * But it is customary to place those factors first which are expressed in figures , and next those which are denoted by letters , arranging them in the order ...
Página 10
... a vinculum , and denotes that the sign or index on the outside of it affects the result of all the operations indi- cated by the several signs and indices within it . Thus , 18- ( 5 + 7 ) means that 7 is 10 DEFINITIONS .
... a vinculum , and denotes that the sign or index on the outside of it affects the result of all the operations indi- cated by the several signs and indices within it . Thus , 18- ( 5 + 7 ) means that 7 is 10 DEFINITIONS .
Página 12
... result subjoining the common letter : thus , + 5x + 3x + 7x = 15x : for the first term contains five times x to be added , the next contains three times x to be added , and the next contains seven times x to be added , making in all ...
... result subjoining the common letter : thus , + 5x + 3x + 7x = 15x : for the first term contains five times x to be added , the next contains three times x to be added , and the next contains seven times x to be added , making in all ...
Página 36
... result so obtained the several powers are then subjoined . It is manifest , that if in adding the partial products , zero is obtained as the co- efficient in any term , the continuity in the powers is interrupted , and that term will be ...
... result so obtained the several powers are then subjoined . It is manifest , that if in adding the partial products , zero is obtained as the co- efficient in any term , the continuity in the powers is interrupted , and that term will be ...
Términos y frases comunes
2d Edition 4th power a²+b² added Algebra ANSWERS arithmetic means arithmetical bd bd binomial theorem bound cloth coefficients complete quotient compound quantity contained cube root denominator denotes Divide dividend divisor English equal EXAMPLES EXERCISES expression Extract the square factors Find the G. C. M. find the number Find the sum Find the value follows Given Equations gives Grammar greatest common measure Greek Hence indices infinite series integer last Art Latin least common multiple logarithms method nature of division negative quantities nth root number of balls number of terms obtained partial products plain positive quadratic quadratic surd quan quotient rational quantity remainder rule second term sides square root substitution subtracted sum and difference Sum the series surd tities unknown quantity VALPY Valpy's whence whole number
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