A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página iii
... force exerted on a point by an assemblage of particles endowed with this attracting power , and held together in the form of a sphere , homogeneous or heterogeneous , next of a spheroid , then of an irregular mass consisting of layers ...
... force exerted on a point by an assemblage of particles endowed with this attracting power , and held together in the form of a sphere , homogeneous or heterogeneous , next of a spheroid , then of an irregular mass consisting of layers ...
Página 1
... force varying directly as the mass of the attracting particle and inversely as the square of the distance between the attracted and the attracting particles . Taking this law as our basis of calculation , we shall investigate the amount ...
... force varying directly as the mass of the attracting particle and inversely as the square of the distance between the attracted and the attracting particles . Taking this law as our basis of calculation , we shall investigate the amount ...
Página 5
... force ; then if c be the distance of the centre of the shell from the attracted point and r the radius of the shell , and & ( r ) = S { rƒ ¢ ( r ) dr } dr , then the attraction of the shell = 2πрrdr - - d ( ↓ ( c + r ) — ↓ ( c − r ) ...
... force ; then if c be the distance of the centre of the shell from the attracted point and r the radius of the shell , and & ( r ) = S { rƒ ¢ ( r ) dr } dr , then the attraction of the shell = 2πрrdr - - d ( ↓ ( c + r ) — ↓ ( c − r ) ...
Página 15
... force of the body depends . 20. As the axes and origin of co - ordinates in the previous Article are altogether arbitrary , it follows that if r be the distance of the attracted point from any fixed point in the attracting body , then ...
... force of the body depends . 20. As the axes and origin of co - ordinates in the previous Article are altogether arbitrary , it follows that if r be the distance of the attracted point from any fixed point in the attracting body , then ...
Página 44
... force varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre ... forces x M 21 1 y √y * ( l- √ y2 + ( 1 − x ) 3 3 7+ x and M 1 2l y Ny2 + ( l + x ) * The sum of these , when 7 is ...
... force varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre ... forces x M 21 1 y √y * ( l- √ y2 + ( 1 − x ) 3 3 7+ x and M 1 2l y Ny2 + ( l + x ) * The sum of these , when 7 is ...
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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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