1. to lie under or beneath , (Iliad by Homer); with dative, (Plato Philosophus) 2. in various metaphorically senses, 3. to be put under the eyes or mind, i. e. to be submitted or proposed to one , (Pindar); αἱ ὑποκείμεναι ἐλπίδες one's present hopes, (Demosthenes Orator); ὑπόκειταί μοι ὅτι . . I have laid down the rule , that . ., (Herdotus Historicus) 4. to be laid down or assumed as an hypothesis , (Plato Philosophus), etc.; τούτων ὑποκειμένων = Lat. his positis, (Plato Philosophus); impersonal, ὑπόκειται a rule is laid down , (Demosthenes Orator); ὑποκείσθω ὅτι . . let it be granted that . ., (Aristotle Philosopher) 5. to be suggested , (Herdotus Historicus) 6. to be left at bottom, left remaining , (Thucydides) 7. to be subject to, submit to , τινι (Plato Philosophus): absolute to be submissive , (Plato Philosophus) 8. to be left behind in pledge, to be pledged or mortgaged , τινος for a certain sum, (Demosthenes Orator), etc.; ὑποκείμενοι, of persons, bound for payment of a sum of money, (Demosthenes Orator) 9. to underlie , as a substratum, (Plato Philosophus), etc. 10. to be subordinate , (Plato Philosophus) (ML)