PHILOSOPHIAE-NATURALIS-PRINCIPIA-MATHEMAT ICA - ITS MATHEMATICAL STRUCTURE

We analyze the mathematical formulations used by Newton in his Philoso phiae Naturalis Principia. Mathematica. Apparently, Newton intentional ly omitted in all his book the use of the fluxional analysis that he d eveloped. However, he could not avoid its use, at least in its concept ual frame, in some of the demonstrations he provided. The result is th at his mathematical discourse in this book drifts from traditional geo metry to fluxional theory (Calculus), being the central part a geometr ical formulation of movement, or ''flowing geometry'', which lies in b etween the two former approaches.