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 95
... differentials , and may furnish , when it shall be ma- tured by the labours of other analysts , a separate branch of algebra , which may be called perhaps the Calculus of Principal Functions ; because , in all the chief applica- tions ...
... differentials , and may furnish , when it shall be ma- tured by the labours of other analysts , a separate branch of algebra , which may be called perhaps the Calculus of Principal Functions ; because , in all the chief applica- tions ...
Pagina 96
... differential equations of a new set of varying elements , entirely distinct in theory ( though little differing in ... Differential Equations of Motion of an Attracting or Repelling System . 1. It is well known to mathematicians , that ...
... differential equations of a new set of varying elements , entirely distinct in theory ( though little differing in ... Differential Equations of Motion of an Attracting or Repelling System . 1. It is well known to mathematicians , that ...
Pagina 98
... differential equations of motion of a system of n points , attracting or repelling one another : dn SH dw & H = dt 801 ; dt 8 ทา dn2 dt SH = ; d2 dt = - 872 SH ; W dngn dt 8H dan SH - = ; dt буд n 3 n · ( A. ) i In this view , the ...
... differential equations of motion of a system of n points , attracting or repelling one another : dn SH dw & H = dt 801 ; dt 8 ทา dn2 dt SH = ; d2 dt = - 872 SH ; W dngn dt 8H dan SH - = ; dt буд n 3 n · ( A. ) i In this view , the ...
Pagina 99
... differential equations of motion ( 3. ) , under the forms assigned by La- GRANGE . The variation of this definite integral S has therefore the double property , of giving the differential equations of motion for any transformed ...
... differential equations of motion ( 3. ) , under the forms assigned by La- GRANGE . The variation of this definite integral S has therefore the double property , of giving the differential equations of motion for any transformed ...
Pagina 100
... Differential Equations of the first Order , which the Principal Function must satisfy . 6. In forming the variation ( 23. ) , or the partial differential coefficients ( B. ) , of the Principal Function S , the variation of the time was ...
... Differential Equations of the first Order , which the Principal Function must satisfy . 6. In forming the variation ( 23. ) , or the partial differential coefficients ( B. ) , of the Principal Function S , the variation of the time was ...
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