συμπληρωματικῶς
From LSJ
κρεῖττον εἶναι φιλοσόφως ἀποθανεῖν ἢ ἀφιλοσόφως ζῆν → that it is better to die in manner befitting a philosopher than to live unphilosophically
English (LSJ)
Adv. by way of supplement, Sch.Od.8.567ap.An.Par.3.457, Eust.adD.P.41.