A treatise on attractions, Laplace's functions, and the figure of the earth1860 |
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Page xiii
... square of the distance , can revolve with a uniform velocity round an axis , if it be in the form of an oblate spheroid of ellipticity , the angular velocity and gravity being the same as in the Earth PAGE 63 69. This is a stable form ...
... square of the distance , can revolve with a uniform velocity round an axis , if it be in the form of an oblate spheroid of ellipticity , the angular velocity and gravity being the same as in the Earth PAGE 63 69. This is a stable form ...
Page 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 - circular ...
... 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 - circular ...
Page 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 ...
Page 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 ...
Page 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 ( f ( r + c ) — 4 ( 2o — - - = = 0 , dfor , d3 for + c2 ... + = - A , dr ...
... 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 ( f ( r + c ) — 4 ( 2o — - - = = 0 , dfor , d3 for + c2 ... + = - A , dr ...
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Common terms and phrases
amplitudes angles angular velocity attraction axes axis of revolution calculated Cambridge Cape Comorin cause centre centrifugal force CHARLES KINGSLEY Clairaut's Theorem cloth co-ordinates coefficient coincidence CONIC SECTIONS const cos² Crown 8vo crust Damargida deduced distance Ea² Earth Earth's mass ellipticity equi error Fcap fluid mass formula geodetic Hence hypothesis integration Kaliana Laplace's Equation Laplace's Functions last Article latitude law of density librium M.A. Second Edition mean ellipticity measured Mechanical Philosophy meridian miles nearly spherical Ocean original fluidity particle pendulum plumb-line point xyz Precession pressure PROP quantities ratio result series of Laplace's shell sin² spheroid station strata stratum Substituting Suppose surfaces of equal term thickness ticity Treatise Trinity College vanish W₁ w²a Y₁ zero μ² µ³
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