Controversias en GeometríaLos Indivisibles de Bonaventura Cavalieri
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Universidad Nacional de Educación a Distancia
info
ISSN: 2386-5326
Ano de publicación: 2018
Título do exemplar: Artes de la controversia: homenaje a Quintín Racionero
Número: 8
Páxinas: 223-247
Tipo: Artigo
Outras publicacións en: Ápeiron: estudios de filosofía
Resumo
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.