A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página xi
... Length of an arc of latitude and one of longitude in terms of amplitude , semi - axes , and middle latitude 124. Formulæ for finding semi - axes by a comparison of two measured arcs 125. Five Examples 120 · • • 121 122 126 . Causes of ...
... Length of an arc of latitude and one of longitude in terms of amplitude , semi - axes , and middle latitude 124. Formulæ for finding semi - axes by a comparison of two measured arcs 125. Five Examples 120 · • • 121 122 126 . Causes of ...
Página 43
... length of the prism , AC = a , BC = b , PC - y , angle PAC = 0 . Then the mass of the ele- ment at PM dr τ Attraction of element at P dr 1 on C = M ढ y2 Ditto in direction CA dr 1 = M 2 7 y Cos PCA . P r A Mdr a - rcos 7 y3 " y2 = a2.
... length of the prism , AC = a , BC = b , PC - y , angle PAC = 0 . Then the mass of the ele- ment at PM dr τ Attraction of element at P dr 1 on C = M ढ y2 Ditto in direction CA dr 1 = M 2 7 y Cos PCA . P r A Mdr a - rcos 7 y3 " y2 = a2.
Página 44
... length attracts a point not far from its centre with a force varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre measured along the bar and at right angles to it : 27 the length ...
... length attracts a point not far from its centre with a force varying inversely as the distance from the bar . For let xy be the co - ordinates to the point from the centre measured along the bar and at right angles to it : 27 the length ...
Página 45
... length of any frustum of the pyramid , and l = l ' + d , then attraction of pyramid , length l ' , c.pl ' ; = .. attraction of frustum = apd . It is observable that this is quite independent of the distance of the frustum from the ...
... length of any frustum of the pyramid , and l = l ' + d , then attraction of pyramid , length l ' , c.pl ' ; = .. attraction of frustum = apd . It is observable that this is quite independent of the distance of the frustum from the ...
Página 46
John Henry Pratt. base , and is independent of the length . Thus , suppose it is required to find the effect of the ... lengths . PROP . To find the attraction of an extensive circular plain of given depth or thickness upon a station ...
John Henry Pratt. base , and is independent of the length . Thus , suppose it is required to find the effect of the ... lengths . PROP . To find the attraction of an extensive circular plain of given depth or thickness upon a station ...
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Otras ediciones - Ver todo
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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