Sense

1. (with genitive), (of place) from underneath
2. under, beneath

Examples

• καὶ ὁ τρόμος καὶ ὁ φόβος ὑμῶν ἔσται ἐπὶ πᾶσι τοῖς θηρίοις τῆς γῆς, ἐπὶ πάντα τὰ πετεινὰ τοῦ οὐρανοῦ καὶ ἐπὶ πάντα τὰ κινούμενα ἐπὶ τῆς γῆς καὶ ἐπὶ πάντας τοὺς ἰχθύας τῆς θαλάσσης. ὑπὸ χεῖρας ὑμῖν δέδωκα. (Septuagint, Liber Genesis 9:2)
• εἶπε δὲ αὐτῇ ὁ ἄγγελος Κυρίου. ἀποστράφηθι πρὸς τὴν κυρίαν σου καὶ ταπεινώθητι ὑπὸ τὰς χεῖρας αὐτῆς. (Septuagint, Liber Genesis 16:9)
• καὶ εἶπεν αὐτῇ ὁ ἄγγελος Κυρίου. πληθύνων πληθυνῶ τὸ σπέρμα σου, καὶ οὐκ ἀριθμηθήσεται ὑπὸ τοῦ πλήθους. (Septuagint, Liber Genesis 16:10)
• ληφθήτω δὴ ὕδωρ, καὶ νιψάτωσαν τοὺς πόδας ὑμῶν, καὶ καταψύξατε ὑπὸ τὸ δένδρον. (Septuagint, Liber Genesis 18:4)
• ἔλαβε δὲ βούτυρον, καὶ γάλα, καὶ τὸ μοσχάριον ὃ ἐποίησε, καὶ παρέθηκεν αὐτοῖς, καὶ ἔφαγον. αὐτὸς δὲ παρειστήκει αὐτοῖς ὑπὸ τὸ δένδρον. (Septuagint, Liber Genesis 18:8)

Source: Ancient Greek entries from Wiktionary