This paper deals with two case studies： （a） The role played by geometry and physical objects in Galileo＇s Theoremata Circa Centrum Gravitatis Solidorum comparing with Archimedean approach-mental experiments, and m...This paper deals with two case studies： （a） The role played by geometry and physical objects in Galileo＇s Theoremata Circa Centrum Gravitatis Solidorum comparing with Archimedean approach-mental experiments, and method of composition and de-composition, circumscribed and inscribed figures on centre of gravity studies; （b） The complex network of relations, which in Mysterium Cosmographicum, links the experimental part of astronomy to the theoretical aspect and, in the case of Kepler, the metaphysical aspect. The authors focus their efforts on understanding why Kepler reached such a strange, genial and original connection between practice and theory. The aim of this paper is to discuss the relationship between physics-mathematics （-metaphysics） and between experiments-observations-theory in the work of two scientists, Galileo and Kepler.展开更多
In order to present an historical discussion on spherical geometry in relativity between the 19th-20th centuries, the current research divided into two parts-papers is presented. Part I： Reflections on geometry-physi...In order to present an historical discussion on spherical geometry in relativity between the 19th-20th centuries, the current research divided into two parts-papers is presented. Part I： Reflections on geometry-physics relationship is an excursus focusing on the role played by geometry in history and its relationship with physics. Part II： Reflections on Late Relationship Geometry-Physics is an epistemological investigation on the history of the foundations of geometry in special relativity focusing in S4（0, x, y, z, O. In this sense, the two parts are complementary. By considering the large literature, we decided to present the main and basic accredited references, maybe useful for very young scholars, as well.展开更多
文摘This paper deals with two case studies： （a） The role played by geometry and physical objects in Galileo＇s Theoremata Circa Centrum Gravitatis Solidorum comparing with Archimedean approach-mental experiments, and method of composition and de-composition, circumscribed and inscribed figures on centre of gravity studies; （b） The complex network of relations, which in Mysterium Cosmographicum, links the experimental part of astronomy to the theoretical aspect and, in the case of Kepler, the metaphysical aspect. The authors focus their efforts on understanding why Kepler reached such a strange, genial and original connection between practice and theory. The aim of this paper is to discuss the relationship between physics-mathematics （-metaphysics） and between experiments-observations-theory in the work of two scientists, Galileo and Kepler.
文摘In order to present an historical discussion on spherical geometry in relativity between the 19th-20th centuries, the current research divided into two parts-papers is presented. Part I： Reflections on geometry-physics relationship is an excursus focusing on the role played by geometry in history and its relationship with physics. Part II： Reflections on Late Relationship Geometry-Physics is an epistemological investigation on the history of the foundations of geometry in special relativity focusing in S4（0, x, y, z, O. In this sense, the two parts are complementary. By considering the large literature, we decided to present the main and basic accredited references, maybe useful for very young scholars, as well.
