A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα 1
... PROP . To find the resultant attraction of an assemblage of particles constituting a homogeneous spherical shell of very small thickness upon a particle outside the shell : the law of attraction of the particles being that of the ...
... PROP . To find the resultant attraction of an assemblage of particles constituting a homogeneous spherical shell of very small thickness upon a particle outside the shell : the law of attraction of the particles being that of the ...
Σελίδα 3
... PROP . To find the attraction of a homogeneous spherical shell of small thickness on a particle situated within it . 4. We must proceed as in the last Proposition ; but the limits of y are in this case r c and r + c ; hence , πprdr prte ...
... PROP . To find the attraction of a homogeneous spherical shell of small thickness on a particle situated within it . 4. We must proceed as in the last Proposition ; but the limits of y are in this case r c and r + c ; hence , πprdr prte ...
Σελίδα 4
... PROP . To find the attraction of a homogeneous spherical shell on a particle without it ; the law of attraction being repre- sented by ( y ) , y being the distance . 7. The calculation is exactly analogous to that given above : we have ...
... PROP . To find the attraction of a homogeneous spherical shell on a particle without it ; the law of attraction being repre- sented by ( y ) , y being the distance . 7. The calculation is exactly analogous to that given above : we have ...
Σελίδα 5
John Henry Pratt. SHELL COLLECTED IN ITS CENTRE . 5 PROP . To find what laws of attraction allow us to suppose a spherical shell condensed into its centre when attracting an external point . 9. Let ( r ) be the law of force ; then if c ...
John Henry Pratt. SHELL COLLECTED IN ITS CENTRE . 5 PROP . To find what laws of attraction allow us to suppose a spherical shell condensed into its centre when attracting an external point . 9. Let ( r ) be the law of force ; then if c ...
Σελίδα 6
... PROP . To find for what laws the shell attracts an internal point equally in every direction . 10. When this is the case - d ( † ( r + c ) — f ( x − c ) 0 , ac C dyr dyr c2 + A , + dr dr . 1.2.3 whatever c is , A being a constant ...
... PROP . To find for what laws the shell attracts an internal point equally in every direction . 10. When this is the case - d ( † ( r + c ) — f ( x − c ) 0 , ac C dyr dyr c2 + A , + dr dr . 1.2.3 whatever c is , A being a constant ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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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