fruitlessly
From LSJ
ὃν οὐ τύπτει λόγος οὐδὲ ῥάβδος → if words don't get through, neither a beating will | if the carrot doesn't work, the stick will not work either | whom words do not strike, neither does the rod
adv.
P. and V. μάτην, ἄλλως, V. ματαίως; see in vain, under vain.