'Branch' in the Bible

Every branch in me--if it bears no fruit, He takes away; and every branch that bears fruit He prunes, that it may bear more fruit.

Continue in me, and let me continue in you. Just as the branch cannot bear fruit of itself--that is, if it does not continue in the vine--so neither can you if you do not continue in me.

If any one does not continue in me, he is like the unfruitful branch which is at once thrown away and then withers up. Such branches they gather up and throw into the fire and they are burned.