Resumen de La scienza geometrica nell’Ars lulliana: l’interpretazione di Ivo Salzinger
I focus on Ivo Salzinger’s (1669-1728) works : Revelatio secretorum artis and Praecursor introductoriae in algebram speciosam. In particular, I analyse in the Revelatio the chapters devoted to arithmetic and geometry, and how those concepts manifested in the Praecursor an immediate way of bringing back the mathematical field. Inevitably, the Revalatio outlines the difference between quantitas and magnitudo. The first refers to an amount in a substantial or accidental way, while the second looks for abstract aspects of the body susceptible of being intentional or spiritual. From that point, Llull performs demonstrations as part of physical geometry to prove the truth of the superior and universal natural geometry. For instance, when Lull speaks about the squaring of the circle, he certainly does not refer to the quadrangle as “common geometry”, but to the quadrangle of the four elements. This vision of geometry is reflected in the second part of the Praecursor, which exposes the functionality of the three figures, A, T and S, defining the principles and rules. These three figures are very important, and constitute a sufficient exercise of any practica, because they encapsulate the three simple forms which the intellect needs to operate rationally.
