A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα ix
... height of the mass standing on it · 60. Calculation of the dimensions of these compartments 62. Results arising from the Himmalayas , and the Ocean . At- traction of a meniscus , and hemi - spherical shell . PAGE 46 47 48 50 51 54 57 64 ...
... height of the mass standing on it · 60. Calculation of the dimensions of these compartments 62. Results arising from the Himmalayas , and the Ocean . At- traction of a meniscus , and hemi - spherical shell . PAGE 46 47 48 50 51 54 57 64 ...
Σελίδα 46
... height of the particle from the nearer surface , c the radius , r the radius of any intermediate elementary annulus of the attracting mass , z its depth . The several elements of this annulus of matter will attract the particle towards ...
... height of the particle from the nearer surface , c the radius , r the radius of any intermediate elementary annulus of the attracting mass , z its depth . The several elements of this annulus of matter will attract the particle towards ...
Σελίδα 47
... height h above the level of the con- tinent , then the diminution = ( + 税) = 9 . This correction will depend upon the kind of rock of which the continent is made , whether of a dense or light description . Thus also for a station at ...
... height h above the level of the con- tinent , then the diminution = ( + 税) = 9 . This correction will depend upon the kind of rock of which the continent is made , whether of a dense or light description . Thus also for a station at ...
Σελίδα 48
... height of the mass ; p the density , supposed the same throughout . Then pdx dy ' de ' is the mass of the element ; and the height being small , we may suppose the element projected on the plane of xy . Hence the whole attraction ...
... height of the mass ; p the density , supposed the same throughout . Then pdx dy ' de ' is the mass of the element ; and the height being small , we may suppose the element projected on the plane of xy . Hence the whole attraction ...
Σελίδα 49
... above the plane of xy , so long as the height or depth is not so great that its square may not be neglected in comparison with the square of the distance from the attracted P. A. 4 point . In this case I is the sum of.
... above the plane of xy , so long as the height or depth is not so great that its square may not be neglected in comparison with the square of the distance from the attracted P. A. 4 point . In this case I is the sum of.
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Άλλες εκδόσεις - Προβολή όλων
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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