A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página 1
... 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 of ...
... 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 of ...
Página 44
... varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre ... varies inversely as y . The following is an approximate illustration of this . The Himmalayas resemble a very long ...
... varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre ... varies inversely as y . The following is an approximate illustration of this . The Himmalayas resemble a very long ...
Página 45
... varies ; and let k be the linear depth of the transverse section of the base ; then Blk is the area of the base ; and the attraction of the whole pyramid on the vertex pẞk . Hence , all slender pyramids having the same angular width and ...
... varies ; and let k be the linear depth of the transverse section of the base ; then Blk is the area of the base ; and the attraction of the whole pyramid on the vertex pẞk . Hence , all slender pyramids having the same angular width and ...
Página 52
... varying as h where the heights of the masses standing on the compartments are different . As the value of the constant to which we equal the function of a and is quite arbitrary , LAW OF DISSECTION OF THE MASS . 53 we will 52 ATTRACTIONS .
... varying as h where the heights of the masses standing on the compartments are different . As the value of the constant to which we equal the function of a and is quite arbitrary , LAW OF DISSECTION OF THE MASS . 53 we will 52 ATTRACTIONS .
Página 57
... varies very nearly inversely as the distance from a point in the meridian in latitude 33 ° 30 ' . General Chodzko states that at Tiflis , Douchet , Wladik- awkas , Alexandrowskaja , and Mosdok , which are severally 70 , 35 , 35 , 55 ...
... varies very nearly inversely as the distance from a point in the meridian in latitude 33 ° 30 ' . General Chodzko states that at Tiflis , Douchet , Wladik- awkas , Alexandrowskaja , and Mosdok , which are severally 70 , 35 , 35 , 55 ...
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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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