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In these lecture notes, I read about two different ways of looking at the position of a particle $\mathcal{X}$ in some body $\mathcal{B}$, Lagrangian and Eulerian coordinates.

In Lagrangian coordinates, the particle is identified by an ordered triple based on the reference configuration $\kappa_0$. In Eulerian coordinates, the particle is identified by an ordered triple based on the present configuration $\kappa_t$.

While both systems can be used concurrently, and are connected by some useful identities, I'm curious as to which one was used first.

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