A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página iv
... caused by irregular masses at the surface of the Earth , such as exist in table lands , vast mountain regions like the Himmalayas , and hollows filled by the ocean which is of less density than rock ; and also wide - spread but slight ...
... caused by irregular masses at the surface of the Earth , such as exist in table lands , vast mountain regions like the Himmalayas , and hollows filled by the ocean which is of less density than rock ; and also wide - spread but slight ...
Página xi
... Causes of variation in the results 124 127 . • Mr Airy's and ( 128 ) M. Bessel's investigation of the Mean Figure of the earth 125 131 . Correction of M. Bessel's method , so as to bring local attrac- tion into the problem . 128 132 ...
... Causes of variation in the results 124 127 . • Mr Airy's and ( 128 ) M. Bessel's investigation of the Mean Figure of the earth 125 131 . Correction of M. Bessel's method , so as to bring local attrac- tion into the problem . 128 132 ...
Página 49
... caused by the attraction equals , by the parallelogram of forces , the ratio of the attraction to gravity , and the angle is very small , Deflection of plumb - line caused by the Tabular Mass parallel to the axis of x = 1 " 569 # { log ...
... caused by the attraction equals , by the parallelogram of forces , the ratio of the attraction to gravity , and the angle is very small , Deflection of plumb - line caused by the Tabular Mass parallel to the axis of x = 1 " 569 # { log ...
Página 50
... causes , by opposite effects , make the plumb - line hang some- what north of the true vertical . In the following Propositions a method is laid down for calculating the attraction of an irregular superficial stratum of the Earth's ...
... causes , by opposite effects , make the plumb - line hang some- what north of the true vertical . In the following Propositions a method is laid down for calculating the attraction of an irregular superficial stratum of the Earth's ...
Página 53
... caused by this attraction = 1 ′′ .1392h sin 1ẞ ...... .... ..... ( 2 ) . 59. The method of using this formula is as follows . When the numerical values of the successive pairs of a and are determined by the solution of equation ( 1 ) ...
... caused by this attraction = 1 ′′ .1392h sin 1ẞ ...... .... ..... ( 2 ) . 59. The method of using this formula is as follows . When the numerical values of the successive pairs of a and are determined by the solution of equation ( 1 ) ...
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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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