## EnglishEdit

### EtymologyEdit

Named after Leonhard Euler (1707–1783), Swiss mathematician and physicist, and Joseph Louis Lagrange (1736–1813), French mathematician and astronomer — originally from Italy.

### NounEdit

**Euler–Lagrange equation** (*plural* **Euler–Lagrange equations**)

- (mechanics, analytical mechanics) A differential equation which describes a function which describes a stationary point of a functional, , which represents the action of , with representing the Lagrangian. The said equation (found through the calculus of variations) is and its solution for represents the trajectory of a particle or object, and such trajectory should satisfy the principle of least action.