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Fra bogen
Resultater 1-5 af 94
Side 8
... Hence Wallis noticed that the fractions approach nearer and nearer to ; and , as the denominators in the fractions , 14 , 36 form an arithmetical series , with a common difference 6 , it follows that , when the number of terms is ...
... Hence Wallis noticed that the fractions approach nearer and nearer to ; and , as the denominators in the fractions , 14 , 36 form an arithmetical series , with a common difference 6 , it follows that , when the number of terms is ...
Side 9
... hence f ' ( x ) = 0 . e = 0 ; ceding lemma ; hence the product AF - AG " is not a For the product AFm- " AD " is a maximum by the pre- maximum for the line FG ; consequently AFm - nADn AFm- " AG FDm FGm .. · ( AG ) " > ( FG ) " ; Thus ...
... hence f ' ( x ) = 0 . e = 0 ; ceding lemma ; hence the product AF - AG " is not a For the product AFm- " AD " is a maximum by the pre- maximum for the line FG ; consequently AFm - nADn AFm- " AG FDm FGm .. · ( AG ) " > ( FG ) " ; Thus ...
Side 12
... Hence we may seek to determine the relation between the fluxions , when we know that which exists between the co - ordinates , i . e . , the equa- tion of the curve ; and reciprocally we may seek to dis- cover the relation between the ...
... Hence we may seek to determine the relation between the fluxions , when we know that which exists between the co - ordinates , i . e . , the equa- tion of the curve ; and reciprocally we may seek to dis- cover the relation between the ...
Side 15
... hence represents the limit to Likewise in all other applications of infinitesimals in In this case f ' ( x ) dr is called the differential of f ( x ) , and the differential calculus , we endeavor to find the ultimate f ( z ) is called ...
... hence represents the limit to Likewise in all other applications of infinitesimals in In this case f ' ( x ) dr is called the differential of f ( x ) , and the differential calculus , we endeavor to find the ultimate f ( z ) is called ...
Side 17
... hence we get B dy T dr 18 -m 1 ( 3 ) Let y = x xm dy -m - 1 = mx ;; then , from ? 16 , we get Here log y = x log x ; 1 dy y dx = log x + +1 . Hence dy dx ( 1 + log x ) x * . x ( 2 ) y = log √ a2 + x2 ° Here y .. = dy log x- log ( a2 + ...
... hence we get B dy T dr 18 -m 1 ( 3 ) Let y = x xm dy -m - 1 = mx ;; then , from ? 16 , we get Here log y = x log x ; 1 dy y dx = log x + +1 . Hence dy dx ( 1 + log x ) x * . x ( 2 ) y = log √ a2 + x2 ° Here y .. = dy log x- log ( a2 + ...
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