1: νεύω
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(Strong's #3506 — Verb — neuo — nyoo'-o )

lit., "to give a nod, to signify by a nod," is used in John 13:24 , of Peter's beckoning to John to ask the Lord of whom He had been speaking; in Acts 24:10 , of the intimation given by Felix to Paul to speak.

2: διανεύω
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(Strong's #1269 — Verb — dianeuo — dee-an-yoo'-o )

"to express one's meaning by a sign" (No. 1, with dia, "through," used intensively), is said of the act of Zacharias, Luke 1:22 (RV, "continued making sings," for AV, "beckoned"). In Sept., Psalm 35:19 , "wink.

3: κατανεύω
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(Strong's #2656 — Verb — kataneuo — kat-an-yoo'-o )

No. 1, with kata, "down," intensive, is used of the fishermen-partners in Luke 5:7 , "beckoned."

4: κατασείω
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(Strong's #2678 — Verb — kataseio — kat-as-i'-o )

lit., "to shake down" (kata, "down," seio, "to shake"), of shaking the hand, of waving, expresses a little more vigorously the act of "beckoning," Acts 12:17; 13:16; 19:33; 21:40 . Neuo and its compounds have primary reference to a movement of the head; kataseio, to that of the hand.