epididōmi

This is the ordinary Greek verb for giving, δίδωμι, with a prefix that aims the act at whoever is receiving. The picture is a handoff: the thing passes out of one person's hands into another's, with both of them present.

Most of its appearances sit in scenes of food. Jesus asks what sort of father, asked by his son for bread, would hand him a stone instead, or a snake in place of a fish, or a scorpion in place of an egg. On the road to Emmaus he breaks the bread and keeps passing it to his two companions. Back in Jerusalem the disciples hand him a piece of cooked fish. The word itself says nothing about the giver's motive; it simply names the passing over, and the scene supplies the warmth or the cruelty.

The other use is more formal. Everyday Greek used this verb for handing in an official document, and Luke uses it that way twice: the scroll of Isaiah is handed to Jesus in the synagogue at Nazareth, and the letter from the Jerusalem leaders is delivered to the assembled church at Antioch. The act is public and deliberate, and the document reaches exactly the people it was written for.

Its near neighbors pull in other directions. The verb for handing over, παραδίδωμι, usually puts a person into someone else's power, and the verb for giving back, ἀποδίδωμι, returns what is owed. This word makes no such claim: it is the plain act of passing something to the one standing in front of you.

This use turns up once, in the storm at sea in Acts 27. The ship is caught by the wind and cannot head into it, so the crew give way and are carried along. Nothing is said to be handed to anyone; the sailors simply stop fighting and let the ship run before the weather.

Greek writers outside the Bible use the verb in this way of yielding, and sailors used it of surrendering a ship to wind or current. Some read the sentence as leaving an object unstated, so that the crew hand the ship (or themselves) over to the wind. Either way the English comes out much the same: "we gave way to it and were driven along."