Equation  in Maxwells  paper and equation D in his  paper Fyzixfighter regarding your reverts you are probably correct that Lord Kelvin William Thomson did a mathematical formulation of Faradays lines of force In fact I do believe that he wrote a paper around about  which is mentioned in the preamble of Maxwells  paper But as I have never read it I am unsure about the precise contents If you are sure that Lord Kelvin did a full mathematical treatment of Faradays lines of force then I am happy to leave mention of that fact in the article However you are wrong about the other matter Maxwells original eight equations appeared as a concise list in his  paper Most of these equations had also appeared in his  paper but not in a concise list Equation  in his  paper is the same as equation D in his  paper That equation is to all intents and purposes the same as the Lorentz force equation But if you read the paper you will see that Maxwell was talking about the force on an electric current whereas the modern day Lorentz force equation applies more particulary to a discrete charged particle I intend to restore the information about Maxwells equation D but first Id like to hear the views of some of the other participants  And to save me going to the cross product article where you have also reverted my edits I might as well explain that Heavisides four equations are not taken exactly from Maxwells original list of eight In the Heaviside four there is a partial differential equation which Heaviside always referred to as Faradays law That equation does not appear in the list of Maxwells original eight equations in the  paper In Maxwells original eight equations he caters for all aspects of electromagnetic induction using that equation equation D which is mathematically identical to the Lorentz force equation As regards the idea that Maxwell had  original equations this is based purely on the fact that in the first six he wrote each of the three cartesian components out separately So your reverts at cross product were wrong