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

Zeitschrift:
Ápeiron: estudios de filosofía

ISSN: 2386-5326

Datum der Publikation: 2018

Titel der Ausgabe: Artes de la controversia: homenaje a Quintín Racionero

Nummer: 8

Seiten: 223-247

Art: Artikel

Andere Publikationen in: Ápeiron: estudios de filosofía

Zusammenfassung

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.