Philosophical Transactions of the Royal Society of London, Volume 125W. Bowyer and J. Nichols for Lockyer Davis, printer to the Royal Society, 1835 |
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Pagina 100
... δε = + Σ 8S dn on dt 8 ท ( 29. ) gives , by ( 20. ) , and by ( A. ) , ( B. ) , & S δε - Σ = S ' · ♡ SH - H .. δι · ( 30. ) It is evident also that this coefficient , or the quantity -H , is constant , so as not to alter during the ...
... δε = + Σ 8S dn on dt 8 ท ( 29. ) gives , by ( 20. ) , and by ( A. ) , ( B. ) , & S δε - Σ = S ' · ♡ SH - H .. δι · ( 30. ) It is evident also that this coefficient , or the quantity -H , is constant , so as not to alter during the ...
Pagina 101
... δε & 3 Q + F ( P1 , P2 , ... P2 · P3m3 8 Q Pi " & Q P2 & Q = - ¿ Psn ' & Q δρο 8 Q Pan ( 32. ) and F ( 71 72 73m ) = H + U ( M1 , M29 · · · Nam ) » 18V 8V δη SV SV F 1 , · · n ... 8 V ( 33. ) • · e ̄ , C1 , C2 , • ... = H + U ( ...
... δε & 3 Q + F ( P1 , P2 , ... P2 · P3m3 8 Q Pi " & Q P2 & Q = - ¿ Psn ' & Q δρο 8 Q Pan ( 32. ) and F ( 71 72 73m ) = H + U ( M1 , M29 · · · Nam ) » 18V 8V δη SV SV F 1 , · · n ... 8 V ( 33. ) • · e ̄ , C1 , C2 , • ... = H + U ( ...
Pagina 102
... δε 0 + F ( 1 , · · & 2 ) dt , & S ( 38. ) 8 S1⁄2 , 1,7зn ) , ( D. ) S2 81370 · 87322 биз 9 n ) } dt ( E. ) supposing only that the two parts S1 , S2 , like the whole principal function S , are chosen so as to vanish with the time . This ...
... δε 0 + F ( 1 , · · & 2 ) dt , & S ( 38. ) 8 S1⁄2 , 1,7зn ) , ( D. ) S2 81370 · 87322 биз 9 n ) } dt ( E. ) supposing only that the two parts S1 , S2 , like the whole principal function S , are chosen so as to vanish with the time . This ...
Pagina 103
... δε , S , being here the principal function of undisturbed motion , or the definite integral ¿ H1 – - S1 = ( x . H1 ) dt , = √ * ( ≥ Σ W 8 • considered as a function of the time and of the quantities 7 ; ei ( I. ) ( 46. ) In like ...
... δε , S , being here the principal function of undisturbed motion , or the definite integral ¿ H1 – - S1 = ( x . H1 ) dt , = √ * ( ≥ Σ W 8 • considered as a function of the time and of the quantities 7 ; ei ( I. ) ( 46. ) In like ...
Pagina 105
... δε dII , = 2 ( de + dp ) + Hd . H2 i · ( 48. ) • ( 49. ) Adopting the latter view , and effecting the integration ( T. ) with respect to the time , by treating the elements e , p , as constant , we are afterwards to substitute for the ...
... δε dII , = 2 ( de + dp ) + Hd . H2 i · ( 48. ) • ( 49. ) Adopting the latter view , and effecting the integration ( T. ) with respect to the time , by treating the elements e , p , as constant , we are afterwards to substitute for the ...
Overige edities - Alles bekijken
Philosophical Transactions of the Royal Society of London, Volume 108 Royal Society (Great Britain) Volledige weergave - 1818 |
Philosophical Transactions of the Royal Society of London, Volume 103 Royal Society (Great Britain) Volledige weergave - 1813 |
Philosophical Transactions of the Royal Society of London, Volume 126 Royal Society (Great Britain) Volledige weergave - 1836 |
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