He occupied Colchis, Paphlagonia and part of Galatia; set his son Ariarathes on the throne of Cappadocia and drove out Nicomedes III., the young king of Bithynia.
The cause of rupture was the attack on Pontic territory by Nicomedes at the instigation of the Romans.
NICOMEDES I., son of Zipoetes, king of Bithynia (c. 278 248 B.C.).
Nicomedes II >>
One of the kings called Nicomedes in Bithynia offered immense sums to acquire the Aphrodite of Praxiteles from the Cnidians (Plin.
21), and to a king Nicomedes the geographical poem of the Pseudo-Scymnus is dedicated.
], an ancient town at the head of theGulf of Astacus, which opens on the Propontis, was built in 264 B.C. by Nicomedes I.
Nicomedes I >>
Thus Nicomedes invented the conchoid; Diodes the cissoid; Dinostratus studied the quadratrix invented by Hippias; all these curves furnished solutions, as is also the case with the trisectrix, a special form of Pascal's limacon.
But even before the conquest by Alexander the Bithynians appear to have asserted their independence, and successfully maintained it under two native princes, Bas and Zipoetes, the last of whom transmitted his power to his son Nicomedes I., the first to assume the title of king.
And Nicomedes II.
But the last king, Nicomedes III., was unable to maintain himself against Mithradates of Pontus, and, after being restored to his throne by the Roman senate, he bequeathed his kingdom by will to the Romans (74 B.C.).
As to his relations with Nicomedes of Bithynia.
They had split off from the army which invaded Greece under Brennus in 279 B.C., and, marching into Thrace under Leonnorius and Lutarius, crossed over to Asia at the invitation of Nicomedes I.
Pappus turns then to a consideration of certain properties of Archimedes's spiral, the conchoid of Nicomedes (already mentioned in book i.
He was a member of the Aepytid family, the son of Nicomedes (or, according to another version, of Pyrrhus) and Nicoteleia, and took a prominent part in stirring up the revolt against Sparta and securing the co-operation of Argos and Arcadia.
Both Mithradates and Nicomedes of Bithynia demanded Greater Phrygia in return for their services.