ὑπόκειμαι used as Pass. of ὑποτίθημι 1 2
I.to lie under or beneath, Il., Thuc.; c. dat., Plat.
II.in various metaph. senses,
1.to be put under the eyes or mind, i. e. to be submitted or proposed to one, Pind.; αἱ ὑποκείμεναι ἐλπίδες one's present hopes, Dem.; ὑπόκειταί μοι ὅτι . . I have laid down the rule, that . . , Hdt.
2.to be laid down or assumed as an hypothesis, Plat., etc.; τούτων ὑποκειμένων = Lat. his positis, id=Plat.; impers., ὑπόκειται a rule is laid down, Dem.; ὑποκείσθω ὅτι . . let it be granted that . . , Arist.
3.to be suggested, Hdt.
4.to be left at bottom, left remaining, Thuc., Dem.
5.to be subject to, submit to, τινι Plat.: absol. to be submissive, id=Plat.
6.to be left behind in pledge, to be pledged or mortgaged, τινος for a certain sum, Dem., etc.; ὑποκείμενοι, of persons, bound for payment of a sum of money, id=Dem.
7.to underlie, as a substratum, Plat., etc.
8.to be subordinate, id=Plat.