It means to transmit but in the following contexts I am not sure whether it is fitting:
έν τῷ α τμήματι ἔτι δὲ καὶ θεώρημα τι παραδίδωσιν
in the first section he also transmits a certain theory;
ἀριστοτέλης δὲ ἐφεξῆς τὴν διαφορὰν τῶν ἀντιθέσεων τῶν ἐν ταῖς προτάσεσιν θεωρουμένων παραδίδωσιν.
Aristotle afterwards transmits the difference between the oppositions observed in these propositions.