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If an infinitely thin homogeneous shell is formed upon each level surface, of a system of bodies, having at each point a thickness proportional to the attraction at that point, the portion of either of these shells, which is included in a canal formed by trajectories, bears the same ratio to the
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A single current in a direction perpendicular to the level surfaces, and having a velocity proportionate to the decrease in density … is the law of propagation of heat, when there is no radiation, and hence arise the analogies between the levels and isothermal surfaces, and the identity of the
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The external level surfaces of a shell are the same with those of the original masses, and the attraction of the shell upon an external point has the same direction with the attraction of the original masses, and is normal to the level surface passing through the point. This theorem is due to
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The conception of these shells, and the investigation of their acting and reacting properties was original with
Chasles, and it will be convenient, as it is appropriate, to designated them as Chaslesian
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says that the
Newtonian gravitational attraction of a spherical shell, outside of that shell, is equivalent mathematically to the attraction of a point mass. The theorem is conventionally known as
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An infinitely thin homogeneous shell, of which the inner and outer surfaces are those of similar, and similarly placed, concentric ellipsoids, is a
Chaslesian shell.
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whole shell, which the portion of another shell included in the same canal bears to that shell, provided there is no mass included between the shells.
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Benjamin Peirce followed
Chasles work on that developed an analogy between conduction of heat and gravitational attraction:
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mathematical investigations of the attraction of bodies and the propagation of heat which have been developed by
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59:is the figure that Peirce exploits:
865:. You can help Knowledge (XXG) by
302:Gibbons–Hawking–York boundary term
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417:Modified Newtonian dynamics, MOND
333:Classical theories of gravitation
18:Chasles' theorem (disambiguation)
912:Theorems in mathematical physics
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239:History of gravitational theory
545:Causal dynamical triangulation
234:Poisson's equation for gravity
125:A System of Analytic Mechanics
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407:Infinite derivative gravity
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927:Mathematical physics stubs
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595:Unified-field-theoric and
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738:Jackiw–Teitelboim gravity
517:Canonical quantum gravity
512:Euclidean quantum gravity
614:Superfluid vacuum theory
438:Nonsymmetric gravitation
287:Post-Newtonian formalism
156:Peirce section 145 (end)
138:Peirce section 142 (end)
779:Mechanical explanations
648:Heterotic string theory
604:Noncommutative geometry
523:Wheeler–DeWitt equation
249:General relativity (GR)
229:Gauss's law for gravity
203:Theories of gravitation
35:, but is attributed to
861:-related article is a
620:Logarithmic BEC vacuum
565:Rainbow gravity theory
443:Scalar–tensor theories
217:Newtonian gravity (NG)
100:Newton's shell theorem
33:Newton's shell theorem
697:Twistor string theory
676:Type II string theory
669:Bosonic string theory
609:Semiclassical gravity
574:Unified-field-theoric
359:Poincaré gauge theory
859:mathematical physics
764:Aristotelian physics
733:Gauss–Bonnet gravity
683:Little string theory
662:Type 0 string theory
655:Type I string theory
530:Loop quantum gravity
457:Scalar–tensor–vector
430:Tensor–vector–scalar
385:Gauge theory gravity
343:Theory of everything
16:For other uses, see
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581:Kaluza–Klein theory
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318:general relativity
292:Linearized gravity
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756:toy models
106:References
774:RST model
560:DGP model
537:Spin foam
481:Whitehead
473:Nordström
402:) gravity
352:Classical
326:Paradigms
277:Resources
83:ellipsoid
831:Graviton
641:F-theory
634:M-theory
210:Standard
122:(1855).
94:See also
77:Chasles.
262:History
68:shells.
857:This
423:AQUAL
282:Tests
863:stub
81:The
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