A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα viii
... radius of the sphere of equal mass as a standard , the general radius of the body is simplified 45. Attraction of a body consisting of nearly spherical shells on particles , external and ( 46 ) internal 336 38 • 40 41 CHAPTER IV ...
... radius of the sphere of equal mass as a standard , the general radius of the body is simplified 45. Attraction of a body consisting of nearly spherical shells on particles , external and ( 46 ) internal 336 38 • 40 41 CHAPTER IV ...
Σελίδα 5
... radius of the shell , and & ( r ) = S { rƒ ¢ ( r ) dr } dr , then the attraction of the shell = 2πрrdr - - d ( ↓ ( c + r ) — ↓ ( c − r ) dc с But if the shell be condensed into its centre , the attraction = 4πpr2 dr p ( c ) ; = d ...
... radius of the shell , and & ( r ) = S { rƒ ¢ ( r ) dr } dr , then the attraction of the shell = 2πрrdr - - d ( ↓ ( c + r ) — ↓ ( c − r ) dc с But if the shell be condensed into its centre , the attraction = 4πpr2 dr p ( c ) ; = d ...
Σελίδα 7
... radius vector of any particle of the attracting mass , ✪ = angle which r makes with a line parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r ...
... radius vector of any particle of the attracting mass , ✪ = angle which r makes with a line parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r ...
Σελίδα 16
... radius of the sphere may be 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 ...
... radius of the sphere may be 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 ...
Σελίδα 24
... radius unity described about C the origin of co - ordinates . Let O ' and w ' be the angular co - ordinates to a point P , ' ( or cosμ ' ) measured from a fixed point A along a great circle of the sphere , and othe angle which this ...
... radius unity described about C the origin of co - ordinates . Let O ' and w ' be the angular co - ordinates to a point P , ' ( or cosμ ' ) measured from a fixed point A along a great circle of the sphere , and othe angle which this ...
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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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