Nicoteles of Cyrene explained

Nicoteles of Cyrene (Greek, Modern (1453-);: Νικοτέλης ὁ Κυρηναῖος) was a Greek mathematician from Cyrene.

He is mentioned in the preface to Book 4 of the Conics of Apollonius, as criticising Conon concerning the maximum number of points with which a conic section can meet another conic section. Apollonius states that Nicoteles claimed that the case in which a conic section meets opposite sections could be solved, but had not demonstrated how.

It is possible that Nicoteles could be a misspelling of Nicomedes.

References

Bibliography

• Book: Fried . Michael . Apollonius of Perga's Conica: Text, Context, Subtext . Unguru . Sabetai . 2001 . Brill . 978-90-04-11977-2 . Mnemosyne . Leiden.
• Book: The Works of Archimedes . 2002 . Dover Publications . 978-0-486-42084-4 . Heath . Thomas L. . Mnemosyne . Mineola, N.Y . 189–190 . 1897.
• Book: Fuentes González . P. P. . Dictionnaire des Philosophes Antiques . de Cyrène . Nicotélès . 2005 . CNRS . 978-2-271-06386-1 . Goulet . Richard . 4 . Paris . 702–703.