‘Abdallah b. ‘Amr b. al-‘As reported God’s messenger as saying, “If anyone kills a sparrow or anything greater wrongfully God will question him about killing it.” On being asked what was the right way he replied, “To cut its throat and eat it, but not to cut off its head and throw it away.”
Abu Sa'id al-Khudri told th at they said, “Messenger of God, we cut the throat of a she-camel and slaughter a cow and a sheep and find an embryo in its womb. Shall we throw it away or eat it?” He replied, “Eat it if you wish, for its slaughter is included when its mother is slaughtered.”
Abu Waqid al-Laithi told that when the Prophet came to Medina the people used to cut off camels' humps and cut the fat tails of sheep, so he said, “Whatever is cut off an animal when it is alive is dead* and must not be eaten.”
*i.e. it is treated as something which had died a natural death, and therefore may not be lawfully eaten.