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Ancient Greek Mathematical Curves
Trying to solve the classical problems of Antiquity, such as the trisection problem, Greeks discovered different mathematical curves. There was no systematic theory of higher-degree curves in Greek mathematics but Greeks studied many interesting special cases:
Diocles showed that the Cissoid a cubic curve defined by y2 (1+x) = (1-x)3 could be used to duplicate the cube
Xah Lee has a very interesting Website that includes also information of Curves among which some have been discovered by ancient Greek mathematicians. I provide the links to the corresponding plane curves. Later I will provide additional information. Also other links are provided.
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