A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página iii
... taken up . My chief design in this treatise has been to give an answer to the question , Has the Earth acquired its present Form from being originally in a fluid state ? The problem is one of great interest , and involves many ...
... taken up . My chief design in this treatise has been to give an answer to the question , Has the Earth acquired its present Form from being originally in a fluid state ? The problem is one of great interest , and involves many ...
Página 10
... taken an ellipsoid instead of a spheroid , the ex- pressions would not have been capable of integration . 15. If we had attempted to find the attraction on an ex- ternal particle according to the process of the last Article , we should ...
... taken an ellipsoid instead of a spheroid , the ex- pressions would not have been capable of integration . 15. If we had attempted to find the attraction on an ex- ternal particle according to the process of the last Article , we should ...
Página 16
... taken so small that its density may be considered uniform and equal to that at the point ( fgh ) , which we shall call p ' . Let f'g'h ' be the co - ordinates to the centre of the sphere ; then the attractions of the sphere on the ...
... taken so small that its density may be considered uniform and equal to that at the point ( fgh ) , which we shall call p ' . Let f'g'h ' be the co - ordinates to the centre of the sphere ; then the attractions of the sphere on the ...
Página 29
... taken from Professor O'Brien's Mathematical Tracts . But this also rather concealed the real difficulty of the case , and passed it over by an artifice . In the demonstration now given , we have gone to the foundation of the calculus ...
... taken from Professor O'Brien's Mathematical Tracts . But this also rather concealed the real difficulty of the case , and passed it over by an artifice . In the demonstration now given , we have gone to the foundation of the calculus ...
Página 35
... taken together are one of the second order . - - Ex . 4. Let 1 ( 1 μ2 ) cos'w be the function . The ar- rangement is 2 1 + 2 or , which is the same , 2 3 - - - 208 20 } , } + { } - ( 1 - μ ) CO2 ) } . CHAPTER III . ATTRACTION OF BODIES ...
... taken together are one of the second order . - - Ex . 4. Let 1 ( 1 μ2 ) cos'w be the function . The ar- rangement is 2 1 + 2 or , which is the same , 2 3 - - - 208 20 } , } + { } - ( 1 - μ ) CO2 ) } . CHAPTER III . ATTRACTION OF BODIES ...
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Términos y frases comunes
amplitude angle attracted particle axes axis calculation Cape Comorin centre Clairaut's Theorem co-ordinates coefficient compartments cos 2m cos² crust Damargida deduced deflection difference distance earth earth's mass effect ellipticity equal equation equilibrium expansion find the attraction fluid mass fluid theory formula geodesy gravity height Hence Himmalayas hypothesis Indian Arc integration Kaliana Kalianpur Laplace's Equation Laplace's Functions last Article latitude law of attraction length longitude mean arc mean ellipse mean figure measured Mechanical Philosophy meniscus meridian miles nearly spherical ocean Ordnance Survey pendulum experiments plumb-line pole precession prism PROP quantities radius result rigid sea-level semi-axes series of Laplace's shell sin² solid sphere spheroid square station strata suppose T₂ thickness tion δα µ² µ³
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