Sanhedrin 8:7-9:1
Sanhedrin 8:7
The following may be saved from committing a sin at the expense of their own lives: a person who is pursuing another person in order to kill him, or a man who pursues another man or a betrothed girl (for sexual purposes). One who pursues an animal (for sexual purposes), who desecrates Shabbos or who worships an idol is not saved from sin by killing them.
Sanhedrin 9:1
The following crimes are punishable with execution by burning: having sexual relations with a woman and her daughter; a kohein’s daughter who commits adultery. “A woman and her daughter” includes the perpetrator’s own daughter, his daughter’s daughter, his son’s daughter, the daughter of his wife (i.e., his stepdaughter), his stepdaughter’s daughter, his stepson’s daughter, his mother-in-law, his mother-in-law’s mother, and his father-in-law’s mother. The following crimes are punishable with execution by beheading: murder and the people of a city condemned for idolatry. If murderer struck his victim with a rock or with an iron implement, or if he held him in water or fire so that he cannot get out of it and the victim died – he is liable. If he pushed his victim into water or fire and he is able to get out of it but the victim died, he is exempt. If he set a dog or a snake on the victim, he is exempt. If he made the snake bite the victim, Rabbi Yehuda says he is liable and the Sages say he is exempt. If one person strikes another with a rock or his fist and it was medically evaluated that the victim was going to die, then his condition improved, but later it deteriorated and he died, he is liable. Rabbi Nechemiah says he is exempt because there is reasonable doubt as to whether or not it was the blow that killed him.