Heureka! Francisco de Mello about the Archimedean principle (Q2812991)

In 2012, a manuscript was rediscovered in Stralsund that has been written by the Portuguese mathematician Francisco de Mello (1490--1536). It contains several treatises, especially the pseudo-Archimedean treatise \textit{De incidentibus in humidis} (On bodies in fluids) together with de Mello's commentary. This commentary consists of completely new demonstrations of the seven presented theorems. \textit{E. A. Moody} and \textit{M. Clagett} [``Liber Archimedis de insidentibus in humidum. Liber Archimedis de ponderibus'', in: The medieval science of weights. Madison, WI: The University of Wisconsin Press. 33--53, 317--321, 352--359 (1952)] (for the entire collection see [Zbl 0049.14502]) have substantiated why the treatise was not written by Archimedes himself but is based on a Latin (Isidorus) and Arabic tradition. The treatise tries to determine the portions of volumes in mixed bodies. \textit{M. Clagett} [``De ponderibus Archimenidis et de incidentibus in humidum'', in: Archimedes in the Middle Ages: the fate of the medieval Archimedes 1300--1565. Madison, WI: The University of Wisconsin Press. 1286--1311 (1978)] used a copy of the Stralsund manuscript in order to publish his faulty edition in 1978. The authors of the booklet under review elaborated a reliable edition of the Latin text of the original kept in Stralsund and a correct, convincing German translation (36 pages). They added a very useful commentary and a description, analysis, and evaluation of the demonstrations of the medieval treatise \textit{De ponderibus Archimenidis}.