But seeing the confident spirit of the Byzantines, the Rhodians adopted an exceedingly able plan to obtain their object. They perceived that the resolution of the Byzantines in venturing on the war rested mainly on their hopes of the support of Achaeus. Now they knew that the father of Achaeus was detained at Alexandria, and that Achaeus was exceedingly anxious for his father’s safety: they therefore hit upon the idea of sending an embassy to Ptolemy, and asking him to deliver this Andromachus to them. This request, indeed, they had before made, but without laying any great stress upon it: now, however, they were genuinely anxious for it; that, by doing this favour to Achaeus, they might lay him under such an obligation to them, that he would be unable to refuse any request they might make to him. When the ambassadors arrived, Ptolemy at first deliberated as to detaining Andromachus; because there still remained some points of dispute between himself and Antiochus unsettled; and Achaeus, who had recently declared himself king, could exercise a decisive influence in several important particulars. For Andromachus was not only father of Achaeus, but brother also of Laodice, the wife of Seleucus. However, on a review of the whole situation, Ptolemy inclined to the Rhodians; and being anxious to show them every favour, he yielded to their request, and handed over Andromachus to them to conduct to his son. Having accordingly done this, and having conferred some additional marks of honour on Achaeus, they deprived the Byzantines of their most important hope. And this was not the only disappointment which the Byzantines had to encounter; for as Tiboetes was being escorted from Macedonia, he entirely defeated their plans by dying. This misfortune damped the ardour of the Byzantines, while it encouraged Prusias to push on the war. On the Asiatic side he carried it on in person, and with great energy; while on the European side he hired Thracians who prevented the Byzantines from leaving their gates. For their party being thus baulked of their hopes, and surrounded on every side by enemies, the Byzantines began to look about then for some decent pretext for withdrawing from the war.