A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα ix
... axis , if it be in the form of an oblate spheroid of ellip- ticity , the angular velocity and gravity being the same as in the Earth . This is a stable form · 72. If the central parts alone attract the same is true , but the ellipticity ...
... axis , if it be in the form of an oblate spheroid of ellip- ticity , the angular velocity and gravity being the same as in the Earth . This is a stable form · 72. If the central parts alone attract the same is true , but the ellipticity ...
Σελίδα x
... axis a principal axis . 80. Equation of ellipticities of strata · 83. If the earth's surface be a spheroid of equilibrium , the mass , whether solid or fluid , must lie arranged according to the fluid law of density • PAGE 71 • 73 77 78 ...
... axis a principal axis . 80. Equation of ellipticities of strata · 83. If the earth's surface be a spheroid of equilibrium , the mass , whether solid or fluid , must lie arranged according to the fluid law of density • PAGE 71 • 73 77 78 ...
Σελίδα xi
... 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 variation in the results 124 127 . • Mr Airy's and ( 128 ) M. Bessel's ...
... 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 variation in the results 124 127 . • Mr Airy's and ( 128 ) M. Bessel's ...
Σελίδα 3
... axis of the cone will be the same , the thickness the same , but the other two dimensions of the elements will each vary as the distance from the at- tracted point ; and therefore the masses of the two opposite elements of the shell ...
... axis of the cone will be the same , the thickness the same , but the other two dimensions of the elements will each vary as the distance from the at- tracted point ; and therefore the masses of the two opposite elements of the shell ...
Σελίδα 7
... axes ; the minor axis 2c coin- ciding with the axis of z : then the equation to the spheroid from the centre is x2 + y2 a2 2 z2 + = 1 . c * Let fgh be the co - ordinates to the attracted particle , which we shall take as the origin of ...
... axes ; the minor axis 2c coin- ciding with the axis of z : then the equation to the spheroid from the centre is x2 + y2 a2 2 z2 + = 1 . c * Let fgh be the co - ordinates to the attracted particle , which we shall take as the origin of ...
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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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