Quantum redactiones paginae "Aequationes Lagrangi" differant

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===Systema penduli lateri mobili affixi===
Exempli gratia sphaeram consideremus, quae filo modo de latere mobile pendet, a methodo Lagrangiana descriptam. Pars suae Lagrangianae cinetica est
 
:::<math>T = \frac{1}{2} M \dot{x}^2 + \frac{1}{2} m \left( \dot{x}_\mathrm{pend}^2 + \dot{y}_\mathrm{pend}^2 \right) = \frac{1}{2} M \dot{x}^2 + \frac{1}{2} m \left[ \left( \dot x + l \dot\theta \cos \theta \right)^2 + \left( l \dot\theta \sin \theta \right)^2 \right], </math>