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ὑπόκειμαι used as Pass. of ὑποτίθημι 1 2 lie under or beneath, Il., Thuc.; c. dat., Plat. various metaph. senses, 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. 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. be suggested, Hdt. be left at bottom, left remaining, Thuc., Dem. be subject to, submit to, τινι Plat.: absol. to be submissive, id=Plat. 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. underlie, as a substratum, Plat., etc. be subordinate, id=Plat.

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