Mémoire contenant l'application de la théorie exposée dans le XVIIᵉ Cahier du Journal de l'École polytechnique, à l'intégration des équations aux différentielles partielles du premier et du second ordre
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Ampère's paper on the [Monge-Ampère equation](https://www.encyclopediaofmath.org/index.php/Monge-Amp%C3%A8re_equation)"A [Monge–Ampère equation](https://www.encyclopediaofmath.org/index.php/Monge-Amp%C3%A8re_equation) is invariant under contact transformations (cf. [Contact transformation](https://www.encyclopediaofmath.org/index.php/Contact_transformation))." The [Legendre transform](https://www.encyclopediaofmath.org/index.php/Legendre_transform) is a type of contact transform.
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