Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
In the southern waters too the projects of Antiochus were frustrated. The fleet equipped and led by Hannibal, after having been long detained by the constant westerly winds, attempted at length to reach the Aegean; but at the mouth of the Eurymedon, off Aspendus in Pamphylia, it encountered a Rhodian squadron under Eudamus; and in the battle, which ensued between the two fleets, the excellence of the Rhodian ships and naval officers carried the victory over Hannibal's tactics and his numerical superiority.
It was the first naval battle, and the last battle against Rome, fought by the great Carthaginian. The victorious Rhodian fleet then took its station at Patara, and there prevented the intended junction of the two Asiatic fleets. In the Aegean Sea the Romano-Rhodian fleet at Samos, after being weakened by detaching the Pergamene ships to the Hellespont to support the land army which had arrived there, was in its turn attacked by that of Polyxenidas, who now numbered nine sail more than his opponents.
On December 23 of the uncorrected calendar, according to the corrected calendar about the end of August, in 564, a battle took place at the promontory of Myonnesus between Teos and Colophon; the Romans broke through the line of the enemy, and totally surrounded the left wing, so that they took or sank 42 ships. An inscription in Saturnian verse over the temple of the Lares Permarini, which was built in the Campus Martius in memory of this victory, for many centuries thereafter proclaimed to the Romans how the fleet of the Asiatics had been defeated before the eyes of king Antiochus and of all his land army, and how the Romans thus "settled the mighty strife and subdued the kings." Thenceforth the enemy's ships no longer ventured to show themselves on the open sea, and made no further attempt to obstruct the crossing of the Roman land army.
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Reference address : https://www.ellopos.net/elpenor/rome/3-09-war-antiochus-asia.asp?pg=28