This article analyzes a type of experiment, very popular in 18th-century natural philosophy, which has apparently not led to insights into nature but which was aesthetically especially attractive. These experiments--"mimetic experiments"--allow us to trace a connection between aesthetic appreciation in science and in art contemporaneous with the science. I use this case as a problem for McAllister's theory of aesthetic induction according to which aesthetic standards in science tend to be associated with empirical success and propose an alternative mechanism that (...) is able to account for the natural philosophers' predilection for unsuccessful but beautiful experiments. (shrink)