Jami` at-Tirmidhi Book 18, Hadith 21
Another chain with similar meaning.
"The Prophet (ﷺ) came to Al-Madinah and they were in the habit of cutting the humps off of the camels and cutting the buttocks from the sheep. He said: 'Whatever is cut from an animal while it is alive, then it is dead flesh.'"
From his father that he said: "I said: 'O Messenger of Allah! Is there no slaughtering except upon the neck and the throat ?' He said: 'If you stab its thigh it would be accepted to you.'"