Identitat de Beltrami: diferència entre les revisions
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=== Solution to the brachistochrone problem ===
[[Fitxer:Petite brachistochrone.gif|miniatura|
An example of an application of the Beltrami identity is the [[brachistochrone problem]], which involves finding the curve <math>y = y(x)</math> that minimizes the integral
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:<math>x = A(\phi - \sin \phi) </math>
:<math>y = A(1 - \cos \phi) </math>
with <math>A</math> being half the above constant, <math>\frac{1}{2C^{2}}</math>, and <math>\phi</math> being a variable. These are the parametric equations for a [[cycloid]].<ref
== Notes ==
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