A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα 28
... ratios of QD to the successive values of DP . When c = 1 each of them vanishes ; and none of the factors F " -F , F " -F " , ... become infinite . Hence the expression to be integrated becomes dy . 2F ( μ , w ) when c = 1 , and the ...
... ratios of QD to the successive values of DP . When c = 1 each of them vanishes ; and none of the factors F " -F , F " -F " , ... become infinite . Hence the expression to be integrated becomes dy . 2F ( μ , w ) when c = 1 , and the ...
Σελίδα 47
... ratio of this to the correction for increase of distance = 0.625 * . If the station be at the 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 ...
... ratio of this to the correction for increase of distance = 0.625 * . If the station be at the 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 ...
Σελίδα 49
... 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 tan ( 45o + 10 ̧ ) + log tan ( 45 ° + 40 , ) - - — log tan ( 45 ° + 10 ...
... 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 tan ( 45o + 10 ̧ ) + log tan ( 45 ° + 40 , ) - - — log tan ( 45 ° + 10 ...
Σελίδα 56
... ratio can- not be neglected . 61. COR . The relative effect of the same or an equal and similar mass , situated on different parts of the earth's surface , is easily obtained as follows . As the effects of the compartments into which ...
... ratio can- not be neglected . 61. COR . The relative effect of the same or an equal and similar mass , situated on different parts of the earth's surface , is easily obtained as follows . As the effects of the compartments into which ...
Σελίδα 57
... ratio of the horizontal attractions of the Island on those places cos 62 ° 18 ' = cos 70 ° 52 ' 0.46484 0.32777 cos 35 ° 44 ' ― - 0.13707 0.04197 = cos 39 ° 40 ′ 0.81174 0.76977 = 3.266 . 62. The formulæ above deduced may be applied to ...
... ratio of the horizontal attractions of the Island on those places cos 62 ° 18 ' = cos 70 ° 52 ' 0.46484 0.32777 cos 35 ° 44 ' ― - 0.13707 0.04197 = cos 39 ° 40 ′ 0.81174 0.76977 = 3.266 . 62. The formulæ above deduced may be applied to ...
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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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