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Polyaenus of Lampsacus
Polyaenus of Lampsacus (; , ''Polyainos Lampsakēnos''; c. 340 – c. 285 BCE), also spelled Polyenus, was an ancient Greek mathematician and a friend of Epicurus.
==Life==
He was the son of Athenodorus. His friendship with Epicurus started after the latter's escape from Mytilene in 307 or 306 BC when he opened a philosophical school at Lampsacus associating himself with other citizens of the town, like Pythocles, Colotes, and Idomeneus. With these fellow citizens he moved to Athens, where they founded a school of philosophy with Epicurus as head, or ''hegemon'', while Polyaenus, Hermarchus and Metrodorus were ''kathegemones''.
A man of mild and friendly manners, as Philodemus refers, he adopted fully the philosophical system of his friend, and, although he had previously acquired great reputation as a mathematician, he now maintained with Epicurus the worthlessness of geometry.〔Cicero, ''De finibus'', (i. 6 ); ''Academica'', ii. 33〕〔Diogenes Laertius, ''Lives and Opinions of Eminent Philosophers'', (ii.105 ), (x. 12 )〕 But the statement may be at least doubted, since it is certain Polyaenus wrote a mathematical work called ''Puzzles'' ((ギリシア語:Aπoριαι)) in which the validity of geometry is maintained. It was against this treatise that another Epicurean, Demetrius Lacon, wrote ''Unsolved questions of Polyaenus'' ((ギリシア語:Πρὸς τὰς Πoλυαίνoυ ἀπoρίας)) in the 2nd century BCE. Like Epicurus, a considerable number of spurious works seem to have been assigned to him; one of these was ''Against the Orators'', whose authenticity was attacked both by Zeno of Sidon and his pupil Philodemus.
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