A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página iii
... spherical , thus approximating more and more to the case of the Earth . This investigation gives me the opportunity of introducing the remarkable analysis of Laplace , which I have endeavoured to put in a clear light , and to free from ...
... spherical , thus approximating more and more to the case of the Earth . This investigation gives me the opportunity of introducing the remarkable analysis of Laplace , which I have endeavoured to put in a clear light , and to free from ...
Página iv
... spherical strata , whatever its former history may have been ; that , on the fluid hypothesis , the form of its surface and of all its internal layers must be oblate spheroids ; and that the plumb- line must be everywhere a normal to ...
... spherical strata , whatever its former history may have been ; that , on the fluid hypothesis , the form of its surface and of all its internal layers must be oblate spheroids ; and that the plumb- line must be everywhere a normal to ...
Página vii
... SPHERICAL AND SPHEROIDAL BODIES . ART . 2 . Attraction of a spherical shell on an external particle 4. Ditto on an internal particle • 7. Attraction of a spherical shell according to any law , on par- ticles , external and ( 8 ) ...
... SPHERICAL AND SPHEROIDAL BODIES . ART . 2 . Attraction of a spherical shell on an external particle 4. Ditto on an internal particle • 7. Attraction of a spherical shell according to any law , on par- ticles , external and ( 8 ) ...
Página viii
... SPHERICAL . 41. Calculation of potential V for a homogeneous sphere 42. Attraction of a homogeneous body nearly spherical on par- ticles , external and ( 43 ) internal . 44. By choosing the origin at the centre of gravity , and taking ...
... SPHERICAL . 41. Calculation of potential V for a homogeneous sphere 42. Attraction of a homogeneous body nearly spherical on par- ticles , external and ( 43 ) internal . 44. By choosing the origin at the centre of gravity , and taking ...
Página ix
... spherical shell . PAGE 46 47 48 50 51 54 57 64. Effect on the plumb - line of a slight but wide - spread defect or excess of density in the interior of the Earth . Example 61 · FIGURE OF THE EARTH . CHAPTER I. FIGURE OF THE EARTH ...
... spherical shell . PAGE 46 47 48 50 51 54 57 64. Effect on the plumb - line of a slight but wide - spread defect or excess of density in the interior of the Earth . Example 61 · FIGURE OF THE EARTH . CHAPTER I. FIGURE OF THE EARTH ...
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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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