Newton’s Geneva Edition (1822): the Notes on Integral calculus

Based on our current scientific and editorial project (Pisano, Bussotti 2014–2022) concerning a critical, commented translation – from Latin into English – of Newton’s Principia - Geneva Edition (1739-1742), new details and insights are here presented. The Geneva Edition of the Principia is an annotated edition of Newton’s masterpiece. The apparatus of notes is broad and longer than Newton’s text itself. The notes concern and clarify several aspects of Newton’s procedures and methods, but they also refer to the development of theoretical mathematics and physics after the publication of Principia’s first edition (1687). In many notes there are also historical considerations which trace the history of a certain concept until Newton. Thence, these notes are a precious instrument to guess some aspects of history of physics and mathematics before Newton, in Newton’s epoch and immediately after Newton’s death. In this contribution, the notes concerning integral calculus will be analysed as a case study. They offer an interesting example of the huge work carried out by the editors of the Geneva Edition.