Philosophiae Naturalis Principia Mathematica: consideraciones en torno a su estructura matemática

Ve analyze the mathematical formulations used by Newton in his Philosophiae Na- turalis Principia Mathematica. Apparent!y, Newton intentionally omitted in all his book the use of the ftuxional analysis that /le developed. However, he could not avoid its use, at least in its conceptual frame, in sorne of the demonstrations he provided. The result is that his mathematical discourse in this book drifts from traditional geometry to ftuxional theory (Calculus), being the central part a geometrica1 formulation of movement, or "flowing geometry" 1 which Hes in between the two former approaches.