'Branch' in the Bible

every branch in me not bearing fruit, He doth take it away, and every one bearing fruit, He doth cleanse by pruning it, that it may bear more fruit;

remain in me, and I in you, as the branch is not able to bear fruit of itself, if it may not remain in the vine, so neither ye, if ye may not remain in me.

if any one may not remain in me, he was cast forth without as the branch, and was withered, and they gather them, and cast to fire, and they are burned;