A Treatise On Infinitesimal Calculus, Containing Differential And Integral Calculus, Calculus of Variations, Applications to Algebra And Geometry, And Analytical Mechanics 3
A Treatise On Infinitesimal Calculus, Containing Differential And Integral Calculus, Calculus of Variations, Applications to Algebra And Geometry, And Analytical Mechanics 3
Bartholomew Price
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And if the integration is carried through a closed ring^ then V, = Vo, and / RCOS^A = 0. The axial-components are evidently particular cases of (HI). If the place of the attracted particle^ in reference to a system of polar coordinates in space^ is (r, 0, (f)), then the components of attraction perpendicular to the meridian plane^ along the radius vector, and perpendicular to the radius vector, the action-lines of both these last components being in the meridian plane, are re- spectively If the... attracting mass is a plane wire or a plane plate, and the attracted particle is in that plane, and the place of it is (r, 0) in reference to a system of polar coordinates, then the radial and transversal components of the attraction are respectively -(£). -tO- Before I enter on the investigation of other general properties of the potential, and especially of the geometrical interpretation of it, I will determine its value in some particular cases, and derive &om them the corresponding components of attraction.
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