Quantum redactiones paginae "Aequationes Lagrangi" differant
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:::<math> S = \int{ L(x_1,x_2,...x_{\alpha}, \dot{x}_1,\dot{x}_2,...\dot{x}_{\alpha}, t)\, dt}</math>
ubi ''L'' est functio illa Langrangiana, <math>x_\alpha </math> denotant omnia systematis parametra sicut particularum coordinates, et <math>\dot{x}_{\alpha}</math> velocitates correspondentes.
:::<math> \frac{\delta S}{\delta x_\alpha} = 0</math>
:::<math>\frac{d~}{dt} \ \left( \, \frac{\partial L}{\partial \dot{x}_\alpha} \, \right) \ - \ \frac{\partial L}{\partial x_\alpha} \ = \ 0</math>
Hae aequationes
:::<math>L(\vec{x}, \dot{\vec{x}}) \ = \ \frac{1}{2} \ m \ \dot{\vec{x}}^2 \ - \ V(\vec{x})</math>.
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