...problems that relate to the motions of systems of an immense number of particles mutually acting on each other. One of the advantages of this method,...the equations and conditions which are requisite and tvflcient for the complete solution of any problem to which it may be applied." Л consideration of...

...function being known, we can immediately apply the general method given in the Mccanique Analylique, and which appears to be more especially applicable...are requisite and sufficient • for the complete solutions of any problem to which it may be applied. The mechanical principle which Green uses, we...

...the Mécanique Analytique, and which appears to be more especially applicable to problems that relata to the motions of systems composed of an immense number...which are requisite and sufficient for the complete solutions of any problem to which it may be applied. The mechanical principle which Green uses, we...

...applied to the problem. The same principle had previously been formulated by Green,2 in similar terms ; ' one of the advantages of this method, of great importance,...solution of any problem to which it may be applied.' On the practical application of this procedure some fresh 1 Lord Kelvin (Sir W. Thomson), Phil. Mag.,...

...particles mutually acting upon each other. One of the advantages of this method, of great importance, ia, that we are necessarily led by the mere process of the calculation, and with little care on oar part, to all the equations and conditions which are requisite and sufficient for the complete solution...

...obtaining these equations. He himself stated his principle and method in the following words : — " In whatever way the elements of any material system...solution of any problem to which it may be "applied." 39 'Memoire sur 1'equilibre interieur des corps Bolides homogenes,' Pan'*, Mem. par divert savants,...

...function being known, we can immediately apply the general method "given in the Mecaniqite Ancdytique,an& which appears to be more especially "applicable to...solution of any problem to which it may be "applied." " 'M(5moire sur 1'equilibre interieur de8 corps Bolides homogenes," I'tirit, Me'm. par divert tavanu,...

...of energy' which Crotti (1888) also acknowledges (Chapter 10). Green stated the following principle: In whatever way the elements of any material system...solution of any problem to which it may be applied. It relates in fact to the potential energy, of a strained elastic body, expressed in terms of strains;...

...was " Green 1838: 246: 'One of the great advantages of this method [of the Meciinique analyiique], of great importance, is, that we are necessarily led...process of the calculation, and with little care on our pan, to all the equations and conditions which are requisite and sufficient for the complete solution...

...applied to the problem. The same principle had previously been formulated by Green1, in similar terms; "one of the advantages of this method, of great importance,...solution of any problem to which it may be applied." On the practical application of this procedure some fresh light may be thrown by the consideration...