A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα vii
... shell on an external particle 4. Ditto on an internal particle • 7. Attraction of a spherical shell according to any law , on par- ticles , external and ( 8 ) internal • • 9. Laws for which a shell attracts as if collected at its centre ...
... shell on an external particle 4. Ditto on an internal particle • 7. Attraction of a spherical shell according to any law , on par- ticles , external and ( 8 ) internal • • 9. Laws for which a shell attracts as if collected at its centre ...
Σελίδα viii
... shells on particles , external and ( 46 ) internal 336 38 • 40 41 CHAPTER IV . ATTRACTION OF TABLE - LANDS , MOUNTAINS , OCEANS , & c . 47. Object of this Chapter 48. Attraction of a slender prism on any particle . 43 ib . 44 . 50 ...
... shells on particles , external and ( 46 ) internal 336 38 • 40 41 CHAPTER IV . ATTRACTION OF TABLE - LANDS , MOUNTAINS , OCEANS , & c . 47. Object of this Chapter 48. Attraction of a slender prism on any particle . 43 ib . 44 . 50 ...
Σελίδα ix
... shell . PAGE 46 47 48 50 51 54 57 64. Effect on the plumb - line of a slight but wide - spread defect or excess of density in the interior of the Earth . Example 61 · FIGURE OF THE EARTH . CHAPTER I. FIGURE OF THE EARTH , CONSIDERED AS ...
... shell . PAGE 46 47 48 50 51 54 57 64. Effect on the plumb - line of a slight but wide - spread defect or excess of density in the interior of the Earth . Example 61 · FIGURE OF THE EARTH . CHAPTER I. FIGURE OF THE EARTH , CONSIDERED AS ...
Σελίδα 1
... shell of very small thickness upon a particle outside the shell : the law of attraction of the particles being that of the inverse square . 2. Let O be the centre of the shell , P any particle of it , OP = r , dr the thick- ness , Cthe ...
... shell of very small thickness upon a particle outside the shell : the law of attraction of the particles being that of the inverse square . 2. Let O be the centre of the shell , P any particle of it , OP = r , dr the thick- ness , Cthe ...
Σελίδα 2
... shell is dr . Hence the volume of the elementary portion of the shell thus formed at P equals rde . r sin Odp . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so ...
... shell is dr . Hence the volume of the elementary portion of the shell thus formed at P equals rde . r sin Odp . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so ...
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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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