Controversias en GeometríaLos Indivisibles de Bonaventura Cavalieri

  1. Piedad Yuste Leciñena 1
  1. 1 Universidad Nacional de Educación a Distancia
    info

    Universidad Nacional de Educación a Distancia

    Madrid, España

    ROR https://ror.org/02msb5n36

Journal:
Ápeiron: estudios de filosofía

ISSN: 2386-5326

Year of publication: 2018

Issue Title: Artes de la controversia: homenaje a Quintín Racionero

Issue: 8

Pages: 223-247

Type: Article

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More publications in: Ápeiron: estudios de filosofía

Abstract

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.

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