A.“βεβάθυστο” Nonn.D.39.305: (βαθύς):— deepen, hollow out, βάθυνε δὲ χῶρον ἅπαντα, of a torrent, Il.23.421; ἔσκαψε καὶ ἐβάθυνε dug and dug deep, Ev.Luc.6.48; ἐβάθυνε πέδον ταρσῷ, of a dog, Nonn.D.47.239: metaph., “ὁ λιμὸς βαθύνει ἑαυτόν” J. BJ5.12.3: esp. as military term, deepen, “τὴν φάλαγγα” X.Cyr.6.3.23, 8.5.15, cf. Arr.Tact.25.11:—Pass., become deep, be deepened, “λίμνη β.” Thphr.HP4.11.3; “κρημνὸς βαθύνεται εἰς ἀπορρῶγα” J.BJ1.21.3; νάσως βαθυνομένας ἀπὸ ῥιζᾶν, of Delos, Hymn.Is.160; “τὸ βαθυνόμενον τῆς ῥηγμῖνος” Agath.2.2; of a deep wound, Nonn.D.39.305; βαθυνομέναις χερσί in or with the hollowed hands, ib.11.180.
2. Math., add a third dimension, “β. τὰ ἐπίπεδα” Procl. in R.2.52 K., cf. in Ti.1.146 D.:—Pass., “κυκλικῶς βαθυνθέντες” Simp. in Ph.59.17.
II. intr., sink deep, Ph.1.248, 2.402; sink, crumble, Apollod.Poliorc.157.8.