The geometric origin of perspectivist science in G.W. Leibniz. Analysis based on unpublished manuscripts (2021)
Rodríguez Hurtado, Ricardo (Author)
Nicolas, Juan A. (Author)
Echeverría Ezponda, Javier (Author)
Historia Mathematica
Volume: 55
Pages: 1-22
The perspectivist research carried out by G.W. Leibniz between 1679 and 1686 in the field of geometry is analysed. This work is reflected in six, as yet unpublished, texts, of which the main three are analysed: Constructio et usus scalae perspectivae, Origo regularum artis perspectivae and Scientia perspectiva. The philosophical perspectivism advocated by the German thinker is widely known, but his geometric research on perspective is much less so. This article seeks to remedy this situation. The first of these writings (Constructio et usus scalae perspectivae) includes Leibniz's experimentation with the perspectivist methodology of scales. Then, in Origo regularum artis perspectivae quales, Leibniz constructs his perspectivist regula generalis. Finally, Leibniz wrote Scientia perspectiva and readdresses the main rule of perspective and experiments with the theoretical limits of the analysis carried out in this discipline. Primarily, he supposed a ‘minimum distance’ between the elements that constitute it, and then theorised an ‘infinite interval’ between these same elements. Zusammenfassung Die perspektivische Forschung von G.W. Leibniz zwischen 1679 und 1686 auf dem Gebiet der Geometrie wird analysiert. Diese Arbeit spiegelt sich in sechs noch unveröffentlichten Arbeiten wider, von denen die drei wichtigsten analysiert werden: Constructio et usus scalae perspektive, Origo regulumum artis perspektive quales und Scientia perspektive. Die erste dieser Arbeiten enthält Leibniz 'Experimente mit der perspektivischen Methodik von Skalen. Dann konstruiert Leibniz in Origo regularum artis perspektivae quales seine perspektivische regula generalis. Schließlich schreibt Leibniz Scientia perspektive. Obwohl es das einzige ist, das für die Veröffentlichung konzipiert zu sein scheint, war es es nie. In Scientia perspektive spricht Leibniz die “allgemeine Regel” der Perspektive neu an und experimentiert mit den theoretischen Grenzen der in dieser Disziplin durchgeführten Analyse. In erster Linie nahm er einen “Mindestabstand” zwischen den Elementen an, aus denen er besteht, und theoretisiert dann ein “unendliches Intervall” zwischen denselben Elementen.
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