A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα ix
... square , can revolve with a uniform velocity round an axis , if it be in the form of an oblate spheroid of ellip- ticity , the angular velocity and gravity being the same as in the Earth . This is a stable form · 72. If the central ...
... square , can revolve with a uniform velocity round an axis , if it be in the form of an oblate spheroid of ellip- ticity , the angular velocity and gravity being the same as in the Earth . This is a stable form · 72. If the central ...
Σελίδα 1
... 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 attraction exerted by spherical , spheroidal , and irregular nearly - spherical ...
... 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 attraction exerted by spherical , spheroidal , and irregular nearly - spherical ...
Σελίδα 3
... square of the distance from that point , and consequently their attractions will be exactly equal , and being in opposite directions will not affect the point . The whole shell may be thus divided into pairs of equal attracting elements ...
... square of the distance from that point , and consequently their attractions will be exactly equal , and being in opposite directions will not affect the point . The whole shell may be thus divided into pairs of equal attracting elements ...
Σελίδα 4
John Henry Pratt. properties belong exclusively or not to the law of the inverse square of the distance . To determine this is the object of the four following Propositions . PROP . To find the attraction of a homogeneous spherical shell ...
John Henry Pratt. properties belong exclusively or not to the law of the inverse square of the distance . To determine this is the object of the four following Propositions . PROP . To find the attraction of a homogeneous spherical shell ...
Σελίδα 6
... square , and a law compounded of these . 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 ...
... square , and a law compounded of these . 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 ...
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Άλλες εκδόσεις - Προβολή όλων
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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