A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα vii
... centre 12. Attraction of a homogeneous spheroid and of a spheroidal shell on an internal particle . 15. Ivory's Theorem , for an external particle PAGE 1 3 7 10 CHAPTER II . LAPLACE'S COEFFICIENTS AND FUNCTIONS . 18. Formulæ for the ...
... centre 12. Attraction of a homogeneous spheroid and of a spheroidal shell on an internal particle . 15. Ivory's Theorem , for an external particle PAGE 1 3 7 10 CHAPTER II . LAPLACE'S COEFFICIENTS AND FUNCTIONS . 18. Formulæ for the ...
Σελίδα viii
... centre of gravity , and taking the radius of the sphere of equal mass as a standard , the general radius of the body is simplified 45. Attraction of a body consisting of nearly spherical shells on particles , external and ( 46 ) ...
... centre of gravity , and taking the radius of the sphere of equal mass as a standard , the general radius of the body is simplified 45. Attraction of a body consisting of nearly spherical shells on particles , external and ( 46 ) ...
Σελίδα x
... Centres of the earth's volume and mass coincident . The earth's 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 ...
... Centres of the earth's volume and mass coincident . The earth's 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 ...
Σελίδα 1
... centre of the shell , P any particle of it , OP = r , dr the thick- ness , Cthe attracted particle , POC = 0 ; mPMn a plane perpendicular to OC , the angle which the plane POC makes with the plane of the paper , PC = y . P. A. m M n 1 ...
... centre of the shell , P any particle of it , OP = r , dr the thick- ness , Cthe attracted particle , POC = 0 ; mPMn a plane perpendicular to OC , the angle which the plane POC makes with the plane of the paper , PC = y . P. A. m M n 1 ...
Σελίδα 3
... centre . 3. It follows also that a sphere , which is either homo- geneous or consists of concentric spherical shells of uniform density , will attract the particle C in the same manner as if the whole mass were collected at its centre ...
... centre . 3. It follows also that a sphere , which is either homo- geneous or consists of concentric spherical shells of uniform density , will attract the particle C in the same manner as if the whole mass were collected at its centre ...
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Άλλες εκδόσεις - Προβολή όλων
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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