Euler Analysis of a Machine for Raising Waters Proposed by Mr. de Mour

We examine a publication by Euler, Sur une nouvelle manière d’élever de l’eau propose par M. Mour (On new method to raise water proposed Mr. Mour), published in 1753, addressing type of sprinkler, consisting an inclined tube with its lower end immersed into water, and discharging at top turning vertical axis which the is attached. In this publication, Euler uses pioneering approaches applying concept mechanical power estimate needed drive machine human force, measuring time length pendulum necessary achieve one oscillation. Several design formulas were derived for determination output machine, giving also measures construction, supported numerical example show feasibility proposition. This is, perhaps, earliest attempts rotating waters.