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" A thin uniform spherical cap being supposed to attract according to the law of the inverse fifth power of the distance... "
Mathematical Questions and Solutions - Side 22
1885
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The Quarterly Journal of Pure and Applied Mathematics, Volum 13

1875 - 420 sider
...articles. In the free motion of a material particle, in the plane of a uniform circular plate attracting it according to the law of the inverse fifth power of the distance, if the velocity in any position be that from infinity under the action of the force, the orbit will...
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Dublin examination papers

Dublin city, univ - 1875 - 386 sider
...projected with the velocity from infinity in the plane of a thin uniform circular plate attracting it according to the law of the inverse fifth power of the distance, will describe freely the circle passing through the point in the direction of projection which intersects...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 29

W. J. C. Miller - 1878 - 120 sider
...longitudinal compression in its transverse section by the plane of motion of tho particle, and attracted according to the law of the inverse fifth power of the distance instead ; and a material particle moving freely in the piano of a uniform circular plato, with the...
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Mathematical Questions with Their Solutions: From the ..., Volumer 31-33

1879 - 366 sider
...РЛ^-аЗ^.-з + Ст.-з. 21 f. 5984. (Professor Townsend, FRS) — A thin uniform circular lamipa being supposed to attract, according to the law of...the inverse fifth power of the distance, a material participle situated anywhere on either segment of a definite sphere of any radius passing through its...
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Nature, Volum 21

Sir Norman Lockyer - 1880 - 668 sider
...which the gaseous particles are no longer regarded as perfectly elastic, but as repelling one another according to the law of the inverse fifth power of the distance. This paper contains some very powerful analysis, which enabled him to simplify the mathematical theory...
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Mathematical Questions with Their Solutions: From the ..., Volumer 40-42

1884 - 434 sider
...J sin:) P sin 3z + &c. . . . 117 7669. (Professor Townsend, FRS) — A thin uniform spherical shell being supposed to attract, according to the law of...inverse fifth power of the distance, a material particle moving freely in either region of its space external or internal to its mass ; if, in either case,...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 41

W. J. C. Miller - 1884 - 178 sider
...+- 1) y, the limits of у being ± 4т. 7579. (By RA ROBEETS, MA) — Two uniform spherical shells attract according to the law of the inverse fifth power of the distance ; show that, if they cut orthogonally, they will be in equilibrium under the influence of their mutual...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 42

W. J. C. Miller - 1885 - 154 sider
...submerged in water may be at the intersection of perpendiculars ? ...... 21 7708. (Professor Townsend, FRS) — A thin uniform spherical cap being supposed...for every position of the particle, the attraction (я) passes through the vertex of the cone which envelopes the sphere along the rim of the cap, (i)...
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The Collected Mathematical Papers of James Joseph Sylvester...

James Joseph Sylvester - 1908 - 751 sider
...proceed to calculate the attraction of a circular plate (of radius r) of uniform density, whose particles attract according to the law of the inverse fifth power of the distance, upon an external particle dP at the distance p from the centre. If we call this g -j- , we have dp...
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Nature, Volum 21

Sir Norman Lockyer - 1880 - 660 sider
...which the gaseous particles are no longer regarded as perfectly elastic, but as repelling one another according to the law of the inverse fifth power of the distance. This paper contains some very powerful analysis, which enabled him to simplify the mathematical theory...
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