'Sever' in the Bible

Then he must tear it apart by its wings [but] must not sever [it]; then the priest will turn it into smoke on the altar. It [is] a burnt offering [by] fire [as] an appeasing fragrance for Yahweh.'"

He shall bring them to the priest, and he shall present that which [is] for the sin offering first, and [the priest] shall wring its head off {at the back of its neck}, but he must not sever [it],