A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα 1
... angle which the plane POC makes with the plane of the paper , PC = y . P. A. m M n 1 The attraction of the whole shell evidently acts in CO THE ATTRACTION OF SPHERICAL AND SPHEROIDAL BODIES Attraction of a spherical shell on an external ...
... angle which the plane POC makes with the plane of the paper , PC = y . P. A. m M n 1 The attraction of the whole shell evidently acts in CO THE ATTRACTION OF SPHERICAL AND SPHEROIDAL BODIES Attraction of a spherical shell on an external ...
Σελίδα 2
... angle do , then r sin edo is the space described by P. And the thickness of the shell is dr . Hence the volume of ... angles to each other . Then , if the unit of attraction be so chosen , that it equals the attraction of the unit of ...
... angle do , then r sin edo is the space described by P. And the thickness of the shell is dr . Hence the volume of ... angles to each other . Then , if the unit of attraction be so chosen , that it equals the attraction of the unit of ...
Σελίδα 7
... angle which r makes with a line parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin ...
... angle which r makes with a line parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin ...
Σελίδα 17
... angles 0 and ' being measured from the axis of z ; and w ' being the angles which the planes on which 0 and ' are measured make with the plane zx . f = r sin cos w , x = r ' sin e ' cos w ' , These are the same as r2 = f2 + g2 + h2 ...
... angles 0 and ' being measured from the axis of z ; and w ' being the angles which the planes on which 0 and ' are measured make with the plane zx . f = r sin cos w , x = r ' sin e ' cos w ' , These are the same as r2 = f2 + g2 + h2 ...
Σελίδα 24
... angle which this great circle makes with another and fixed great circle through A. Then de ' . do ' sin ' , ordu'da ' , is an infinitesimal element of the surface of the sphere at P. This division of the surface into elements supposes ...
... angle which this great circle makes with another and fixed great circle through A. Then de ' . do ' sin ' , ordu'da ' , is an infinitesimal element of the surface of the sphere at P. This division of the surface into elements supposes ...
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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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