This dispute was over a priority claim regarding a result on inelastic shocks. Duhamel argued with Cauchy's claim to have been the first to give the results in 1832. Poncelet referred to his own work of 1826 on the subject and Cauchy was shown to be wrong. However Cauchy was never one to admit he was wrong. Valson writes in:
Alitan na ito ay higit sa isang prayoridad claim tungkol sa isang resulta sa hindi nababanat shocks. Duhamel argued sa Cauchy's claim na ay ang unang na bigyan ang mga resulta sa 1832. Poncelet-refer sa kanyang sariling gawain ng 1826 sa paksa at Cauchy ay ipinapakita na mali. Subalit Cauchy ay hindi isa sa kumilala siya ay mali. Valson magsusulat sa: