A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Resultat 1-5 av 55
Side v
... equation true also of R , the reciprocal of the distance of the attracted particle from any point of the body . 23. Transformation of equation in R to polar co - ordinates 24. Method of expanding R • 25. Laplace's Coefficients , Equation ...
... equation true also of R , the reciprocal of the distance of the attracted particle from any point of the body . 23. Transformation of equation in R to polar co - ordinates 24. Method of expanding R • 25. Laplace's Coefficients , Equation ...
Side vii
... Equation of equilibrium , if the mass consist of nearly spheri- cal strata of varying density 75. The form of the strata is spheroidal 76. An approximate law of density found 77. Ellipticity of the strata 80. Ellipticity of the surface ...
... Equation of equilibrium , if the mass consist of nearly spheri- cal strata of varying density 75. The form of the strata is spheroidal 76. An approximate law of density found 77. Ellipticity of the strata 80. Ellipticity of the surface ...
Side x
... equation by means of y2 = c2 + r2 — 2cr cos 0 , y " -- 2c de .. sin e dy = - с cr - -r cos 0 : = y2 + c2 — p2 .. attraction of P on C in CO = prdr - = 2c2 y2 ( 1 + c2 = r2 ) dy do . To obtain the attraction of all the particles of the ...
... equation by means of y2 = c2 + r2 — 2cr cos 0 , y " -- 2c de .. sin e dy = - с cr - -r cos 0 : = y2 + c2 — p2 .. attraction of P on C in CO = prdr - = 2c2 y2 ( 1 + c2 = r2 ) dy do . To obtain the attraction of all the particles of the ...
Side 5
... = ƒ ¢ ( c ) dc + cp ( c ) , d3 c des афс = 24c + c dc ; therefore by the first of the above equations of condition . 2 pc + doc фот = const . = 34 , de and multiplying by c2 and integrating c2 $ ( c SHELL COLLECTED IN ITS CENTRE . 5.
... = ƒ ¢ ( c ) dc + cp ( c ) , d3 c des афс = 24c + c dc ; therefore by the first of the above equations of condition . 2 pc + doc фот = const . = 34 , de and multiplying by c2 and integrating c2 $ ( c SHELL COLLECTED IN ITS CENTRE . 5.
Side 6
... equations of condition for ( c ) , and it satisfies all the rest . 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 ...
... equations of condition for ( c ) , and it satisfies all the rest . 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 ...
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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 - 1860 |
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 axes axis calculation Cambridge Cape Comorin Cavendish experiment centre cloth co-ordinates coefficient College compartment cos² cos² a+10 Crown 8vo d²R Damargida deflection caused Deflexion depth df² dg² dh² distance dr² dw² Earth element ellipsoid equal equation expanded Fcap find the attraction fluid formula frustum gravity height Hence integration Kaliana Kalianpur Laplace's Equation Laplace's Functions last Article last Proposition law of attraction law of dissection length lune mean ellipse Mechanical Philosophy meridian mid-line miles mountains ocean Ordnance Survey plane plumb-line prism PROP quantities radius result Second Edition shell sin² sin³ sphere spherical spheroid square station strata Suppose surface thickness Trinity College vertical Y₁ αμ µ² µ³
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