A Treatise on Attractions: Laplace's Functions, and the Figure of the EarthMacmillan, 1860 - 126 sider |
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Resultat 1-5 av 51
Side 2
... Hence the volume of the elementary portion of the shell thus formed at P equals rde .r sin edo . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so chosen , that it ...
... Hence the volume of the elementary portion of the shell thus formed at P equals rde .r sin edo . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so chosen , that it ...
Side 3
... hence , πprdr frte c2 [ TC πprdr = c2 1 22 -- y2 ( 2c2c ) = 0 ; dy therefore the particle within the shell is equally attracted in every direction . 5. This result may easily be arrived at geometrically in the following manner . Through ...
... hence , πprdr frte c2 [ TC πprdr = c2 1 22 -- y2 ( 2c2c ) = 0 ; dy therefore the particle within the shell is equally attracted in every direction . 5. This result may easily be arrived at geometrically in the following manner . Through ...
Side 6
... Hence the only laws of attraction which have the property in question are those of the direct distance , the inverse square , and a law compounded of these . PROP . To find for what laws the shell attracts an internal point equally in ...
... Hence the only laws of attraction which have the property in question are those of the direct distance , the inverse square , and a law compounded of these . PROP . To find for what laws the shell attracts an internal point equally in ...
Side 8
... Hence A B == π π - [ * [ * [ " p sin2 e cos par de do , 0 Π π -STS " STP p sin2 0 sin dr do do , 0 0 0 7 π C -- A = - PSS CT 0 . psin e cos edr de do , ( r ' " + r ' ) sin2 cos de do F 0 = 2p [ " sin " cos dodo . Now it is easily seen ...
... Hence A B == π π - [ * [ * [ " p sin2 e cos par de do , 0 Π π -STS " STP p sin2 0 sin dr do do , 0 0 0 7 π C -- A = - PSS CT 0 . psin e cos edr de do , ( r ' " + r ' ) sin2 cos de do F 0 = 2p [ " sin " cos dodo . Now it is easily seen ...
Side 10
... Hence the attraction of the sphe- roid similar to the given one , and passing through the attracted particle , is the same as that of any other similar concentric spheroid comprising the attracted particle in its mass . Hence a ...
... Hence the attraction of the sphe- roid similar to the given one , and passing through the attracted particle , is the same as that of any other similar concentric spheroid comprising the attracted particle in its mass . Hence a ...
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A Treatise on Attractions: Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1860 |
A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1861 |
A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1861 |
Vanlige uttrykk og setninger
amplitudes angle attracted particle attracted point attracting mass axis calculated Cambridge Cape Comorin centre CHARLES KINGSLEY Clairaut's Theorem cloth co-ordinates coefficient compartment cos² Crown 8vo crust deduced deflection df² dg² differential distance Earth ellipticity English Notes equal equation equilibrium error Fcap Fellow of St find the attraction formula frustum gravity Hence integration John's College Kaliana Laplace's Equation Laplace's Functions last Article late Fellow law of attraction law of density M.A. Fellow M.A. Second Edition mean ellipse Mechanical Philosophy meridian miles nearly spherical ocean Ordnance Survey P. G. TAIT P₁ plane plumb-line Precession prism PROP quantities radius result Sermons shell sin² sphere spheroid station strata substituted Suppose surface thickness TODHUNTER Treatise Trinity College Y₁ αμ µ² µ³