Lexical Definition

‎περίκειμαι‎ períkeimai (per-ik'-i-mahee) to surround ^G:V
from ‎περί‎ and ‎κεῖμαι‎

be bound (compassed) with, hang about.

• to lie all around, i.e. inclose, encircle, hamper (literally or figuratively)

Abbott-Smith

** περί-κειμαι, [in LXX: Ep. Je 24, 58, IV Mac 12:3*;]
1. to lie round about: μύλος, λίθος (RV, were hanged about), Mk 9:42, Lk 17:2; νεφος μαρτύρων, He 12:1.
2. to have around one, be clothed with: Ac 28:20; fig., ἀσθένειαν, He 5:2.†

Abbott-Smith References

Liddell-Scott-Jones

περίκειμαι,

infinitive -κεῖσθαι: future -κείσομαι: —used as passive of περιτίθημι, lie round about, with dative, εὗρε σὲ Πατρόκλῳ περικείμενον ὃν φίλον νἱόν lying with his arms round him, [Refs 8th c.BC+]; [γωρυτὸς τόξῳ] περίκειτο] there was a case round the bow, [Refs 8th c.BC+]; πασσάλοις (accusative plural) κρύπτοισιν περικείμεναι.. κνάμισες [Refs 7th c.BC+]; τὸ σχῆμα καὶ τὸ ὄνομα τῆς βασιλείας τινὶ π. [Refs 1st c.AD+]: with a preposition, περὶ [τὰς φλέβας] τὸ σῶμα π. τὸ τῶν σαρκῶν [Refs 4th c.BC+] plates of gold laid on (an ivory statue), [Refs 5th c.BC+]; [ὁ κημὸς] περικείμενος put round the horse's mouth, [Refs 5th c.BC+]

__2 metaphorically, οὐδέ τί μοι περίκειται there is no advantage for me, I have nought laid by, [Refs 8th c.BC+]
__2.b οἱ περικείμενοί τινι his supporters, [Refs 3rd c.AD+]
__II with accusative of things, have round one, wear, mostly in participle, [τελαμῶνας] περὶ τοῖσι αὐχέσι περικείμενοι [Refs 5th c.BC+]; τιάρας π. [Refs 5th c.BC+]; στρατιωτικὴν δύναμιν π invested with.., [Refs 1st c.AD+]; ὕβριν π. clad in arrogance, [Refs 3rd c.BC+] have garlands put round thee, [Refs 1st c.AD+]; περιέκειτο ξίφος, σχῆμα βασιλικόν, [περίκειμαι NT.Acts.28.20; περίκειται ἀσθένειαν NT.Heb.5.2. ">NT+2nd c.AD+]

_{LSJ Scripture Refs: Acts.28.20 ☩ Heb.5.2}