Controversias en GeometríaLos Indivisibles de Bonaventura Cavalieri
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Universidad Nacional de Educación a Distancia
info
ISSN: 2386-5326
Argitalpen urtea: 2018
Zenbakien izenburua: Artes de la controversia: homenaje a Quintín Racionero
Zenbakia: 8
Orrialdeak: 223-247
Mota: Artikulua
Beste argitalpen batzuk: Ápeiron: estudios de filosofía
Laburpena
One of the most interesting polemics in the field of mathematics was started by Bonaventura Cavalieri, who, inspired by the mechanical developments of his teacher Galileo, tried to calculate the surfaces and volumes of objects bounded by curves using respectively collections of lines and planes that he called indivisibles. The undefinition of these elements and their conflict with the Euclidean postulates led to a fruitful debate among the seventeenth-century geometers that it ended with the creation of integral calculus in the hands of Leibniz and Newton.