Didn't think to ask! But it's been a day for Latin. Was talking about QED, once I remembered the expression I was after, when an editor inquired about whether we ever use a certain method involving a box at the end of a proof. That reminded me of the 3 dots at the end of a proof, and the phrase.
Well, more or less, yes! Same root, that is. "Gaudium" means "joy , gladness, delight; a source of delight" -- and then we have "gaudere gavisus sum" = to rejoice , be glad (with abl. of cause, to delight in) and "in sinu gaudere" = to rejoice in secret
Another Latiner (or whatever the term is) just chimed in to say "we already have a good Latin idiom for 'just for fun': animi causa."
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Another Latiner (or whatever the term is) just chimed in to say "we already have a good Latin idiom for 'just for fun': animi causa."