By Max Jammer
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Without really knowing it, Saccheri had opened the door to new geometries. Some professors devoted themselves mainly to pedagogical work in mathematics with the publication of popular textbooks. Jesuit superiors concerned about the quality of the schools considered this type of work more important than research into new development of mathematics. André Tacquet (1612–1660), professor at Antwerp and Louvain and follower of the work of Saint-Vincent and de Aguilón, stands out with the publication of two very popular textbooks used in many Jesuit colleges: Elementa euclidea geometriae planae et solidae (Euclidian elements of plane and solid geometry, 1654) and Arithmeticae teoría et praxis (Theory and practice of arithmetic, 1656).
J. and Euclid’s parallel postulate. Bulletin American Association of Jesuit Scientists 17 (1939) 93–99; Alberto Dou, Logical and historical remarks on Saccheri’s geometry, Notre Dame Journal of Formal Logic, 11 (1970) 385–415. 28 2 Mathematics, Astronomy and Physics in Colleges and Observatories Ceva, a famous mathematician, author of the theorem known by his name. Saccheri is considered to be one of the pioneers of mathematical logic with his work Logica demostrativa (Demostrative logic, 1697).
Until the middle of the eighteenth century, they were obliged to defend the stability of the Earth and its central position in the universe. 26 27 Villoslada, Storia, 212. Vrégille, “Galilée et le jésuites”, 474. 1 From the Geometry of Euclid to the Integral Calculus As the network of Jesuit colleges was spreading throughout Europe, chairs of mathematics were established, as was required by the norms of the Ratio studiorum. However, mathematics was already taught in many schools before the institutionalization of such chairs.