ὑποκεῖσθαι
From LSJ
τὸ κατὰ τὴν τῆς αὑτοῦ ψυχῆς ἐπίταξιν τὰ γιγνόμενα γίγνεσθαι, μάλιστα μὲν ἅπαντα, εἰ δὲ μή, τά γε ἀνθρώπινα → the desire that, if possible, everything,—or failing that, all that is humanly possible—should happen in accordance with the demands of one's own heart
Greek > English (Woodhouse Verbs Reversed)
(see also ὑπόκειμαι): be mortgaged, be assumed as a basis, be assumed as hypothesis, be assumed, be laid down, be laid, be posited, lie in wait for, lie under
Lexicon Thucydideum
subiectum esse, to be situated beneath, 1.93.2,
subesse, to be below, be at the foot of, 3.84.3.