In Greek mythology, Diocles, or Díoklês, was one of the first priests of Demeter and one of the first to learn the secrets of the Eleusinian Mysteries. He is said to have died in battle while defending his boyfriend (cfr. sacred band). The bust of Zeus found at Otricoli (Sala Rotonda, Museo Pio-Clementino, Vatican) Greek mythology is the body of stories belonging to the Ancient Greeks concerning their gods and heroes, the nature of the world and the origins and significance of their own cult and ritual practices. ... This article is about the grain goddess Demeter. ... The Eleusinian Mysteries were initiation ceremonies held every five years for the cult of Demeter and Persephone based at Eleusis in ancient Greece. ... Sacred Band can refer to one of two elite military units of the ancient world: the Sacred Band of Thebes the Sacred Band of Carthage This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ...
Theocritus describes him as a "lover of young boys" and relates that at his tomb in Megara a kissing contest is held each year in early spring: adolescent youths gather and compete by kissing a male judge. The one with the best kiss returns home "laden with garlands of flowers." (Idyll 12). Theocritus (Greek ÎεÏκÏιÏοÏ), the creator of Ancient Greek bucolic poetry, flourished in the 3rd century BC. Little is known of him beyond what can be inferred from his writings. ... Megara (Greek: ÎÎγαÏα (Big Houses); see also List of traditional Greek place names) is an ancient city in Attica, Greece. ...
The cissoid of Diocles is an unbounded plane curve with a single cusp, which is symmetric about the line of tangency of the cusp, and whose pair of symmetrical branches both approach the same asymptote (but in opposite directions) as a point moving along the cissoid moves farther away from the cusp.
Diocles' solution is correct, except that the solution involves an intersection of a line with a construction of a cissoid of Diocles, which cannot be accomplished by means of the simple but strict Greek rules of compass and straightedge construction.
The reason is that the cissoid of Diocles cannot be constructed perfectly, at least not with compass and straightedge.