## An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism |

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analysis angle applicable axes axis become infinite belonging centre coercive force conceive conducting bodies consequently considered constant force constant quantity dependant deduce density determine direction double integral electric fluid electric forces electricity induced element equal to zero equilibrium Essay evidently exterior bodies exterior forces exterior space exterior surface exterior system forces acting formula give given Hence immediately inducing bodies infinite distance infinitely small sphere inner surface instant integral extending interior magnetic fluid magnetic particles magnetic state induced MATHEMATICAL ANALYSIS moreover neglecting quantities obtain orifice partial differential equation perfect conductor perpendicular phial plane polar co-ordinates potential function arising preceding quantity of electricity rectangular co-ordinates satisfy the equation singular values solid of revolution space exterior spheroid substituted supposed supposition thickness tion total force total potential function total quantity tricity triple integrals vanish whole surface wire