I know that Lagrange himself used
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and
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for kinetic and potential energy. I dug through his flagship book
Mécanique Analytique (published early 1800s) and the first mention of potential energy seems to be:
Цитата:
...et cette valeur de
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étant nommée
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, on aura immédiatement
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Source, go to page 313Basically, he just pulls the letter from nowhere and doesn't explain why. He's already used
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for the action,
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for kinetic energy ("forces vives"), and
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for the Lagrangian, so maybe he is just picking random letters from that part of the alphabet.