Diocles’ cissoid in the context of ancient mathematics
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Keywords

Duplication of the cube
cissoid
Diocles
Pappus
Proclus
Eutocius

How to Cite

Ayerbe Toledano, J. (2025). Diocles’ cissoid in the context of ancient mathematics. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 49(190), 198-215. https://doi.org/10.18257/raccefyn.3157

Abstract

The three classic problems of Greek mathematics are the squaring of the circle, the trisection of the angle and the doubling of the cube. These questions had enormous importance in the progress of Hellenic geometry and acted as true poles of interest, guiding the research of the great mathematicians of Antiquity. This article analyzes in its historical context the genesis of the cissoid, a curve specifically conceived by Diocles to provide a new solution to the problem of doubling the cube, and its influence on the development of Greek mathematics is studied.

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References

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