Henry George Liddell, Robert Scott, A Greek-English Lexicon

A.think or suppose a thing to any one's prejudice, c. inf., κ. τινὰ ποιέειν τι suspect one of . . , Hdt.3.27; “σφέας κ. εἶναι κλῶπας” Id.6.16: with inf. understood, Id.1.22, 3.69: c. dat. pers., τοῖσι “κατεδόκεον νεοχμὸν ἄν τι ποιέειν” Id.9.99: c. acc. neut., “τάδε καταδόξας . . σφέας ἐθελοκακέειν” Id.8.69:—Pass., to be suspected, “ὑφ᾽ ὑμῶν” Antipho 2.2.3: also c. inf., “καταδοχθεὶς φονεὺς εἶναι” Id.2.2.2; later in good sense, καταδόξαντα [ὑπέρμεγαν] εἶναι τοῖς τότε ἀνθρώποις who was recognized to be great by his contemporaries, Numen. ap. Eus.PE14.8.

2. generally, guess, οὐ γὰρ ἄν κοτε κατέδοξα ἔνθεν ἦν should never have guessed whose son he was, Hdt.1.111.