But when Ptolemy, despairing of retaining the league’s friendship, began to furnish Cleomenes with supplies,—which he did with a view of setting him up as a foil to Antigonus, thinking the Lacedaemonians offered him better hopes than the Achaeans of being able to thwart the policy of the Macedonian kings; and when the Achaeans themselves had suffered three defeats,—one at Lycaeum in an engagement with Cleomenes whom they had met on a march; and again in a pitched battle at Ladocaea in the territory of Megalopolis, in which Lydiades fell; and a third time decisively at a place called Hecatomboeum in the territory of Dyme where their whole forces had been engaged,—after these misfortunes, no further delay was possible, and they were compelled by the force of circumstances to appeal unanimously to Antigonus. Thereupon Aratus sent his son to Antigonus, and ratified the terms of the subvention. The great difficulty was this: it was believed to be certain that the king would send no assistance, except on the condition of the restoration of the Acrocorinthus, and of having the city of Corinth put into his hands as a base of operations in this war; and on the other hand it seemed impossible that the Achaeans should venture to put the Corinthians in the king’s power against their own consent. The final determination of the matter was accordingly postponed, that they might investigate the question of the securities to be given to the king.