A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
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Página iv
... observation and experiment . Remarks on the thickness of the earth's crust conclude the first Chap- ter . In the second the figure is determined geodetically . PREFACE . The method of Bessel at present in use iv PREFACE .
... observation and experiment . Remarks on the thickness of the earth's crust conclude the first Chap- ter . In the second the figure is determined geodetically . PREFACE . The method of Bessel at present in use iv PREFACE .
Página 13
... observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in which they cut each other lie in the line of which the equa- tions are 32 + 12 + = 1 and c2 x2 , y2 + + Re 22 = 1 . 2 ...
... observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in which they cut each other lie in the line of which the equa- tions are 32 + 12 + = 1 and c2 x2 , y2 + + Re 22 = 1 . 2 ...
Página 21
... observed that these quantities are definite and have no arbitrary constants in them . Laplace's Co- efficients are therefore certain definite expressions involving only numerical quantities with and w , u ' and w ' . Any other ...
... observed that these quantities are definite and have no arbitrary constants in them . Laplace's Co- efficients are therefore certain definite expressions involving only numerical quantities with and w , u ' and w ' . Any other ...
Página 27
... observed that were this not the case , that whole part of the expression would vanish for the particular value c = 1 ( which is the only case we shall have to use ) , whatever the value of the sum of the terms following the multiplier 1 ...
... observed that were this not the case , that whole part of the expression would vanish for the particular value c = 1 ( which is the only case we shall have to use ) , whatever the value of the sum of the terms following the multiplier 1 ...
Página 68
... observation shows that = the ratio of the centri- 289 fugal force at the equator to gravity at the equator . Hence 1 года = 289 πραω α w2 1 2πρ 435 By expanding in powers of e and neglecting powers higher HOMOGENEOUS FLUID MASS . 69 ...
... observation shows that = the ratio of the centri- 289 fugal force at the equator to gravity at the equator . Hence 1 года = 289 πραω α w2 1 2πρ 435 By expanding in powers of e and neglecting powers higher HOMOGENEOUS FLUID MASS . 69 ...
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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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