'Branch' in the Bible

As to every branch in me not bearing fruit, he takes it away; and as to every one bearing fruit, he purges it that it may bring forth more fruit.

Abide in me and I in you. As the branch cannot bear fruit of itself unless it abide in the vine, thus neither can ye unless ye abide in me.

Unless any one abide in me he is cast out as the branch, and is dried up; and they gather them and cast them into the fire, and they are burned.