Halakhah su Levitico 24:19

The root of this commandment is revealed to all, as 'by justice a king sustains the land.' As were it not for the fear of judgment, people would kill one another. Therefore, God, blessed be He, commanded us to kill the murderer. And in His wisdom, blessed be He, He saw that it is fitting to punish him with the death penalty of strangulation. And the matter is beautiful, also according to our [understanding], since 'as he has done, so shall it be done to him' - since the intention of the killer was to kill the murdered quickly, as from [the killer's] fear of him, he will quicken his death with all of his might. And so too was the Torah lenient with his judgment to kill him with strangulation, which is a quick death penalty; and not with stoning and burning, which are with great pain. (In the other editions, it is written, "The truth is that the death penalty of the murderer is with the sword, [whereas] he who hits his father and mother has a death penalty of strangulation.") However with the statutes of licentiousness, in which the transgressors derived pleasure from the sin and the pleasure continued a bit, they sometimes get burning and sometimes stoning.

The commandment of the laws of penalties: That we were commanded about the law of one who injures his fellow to penalize that person, as it is written in the Torah in the section of "And if men fight" (Exodus 21:18). And this is called the laws of penalties. And in another verse, it includes all of the laws of penalties, and it is the verse, "as he did, so shall it be done to him" (Leviticus 24:19) – it means to say that what he pained [his fellow] should be taken away from his money, in accordance with that which he injured his fellow, as the tradition comes about it (Bava Kamma 83b). And even if he did not hit him, but only embarrassed him, the court must cause him pain through his money, that he should pay the one embarrassed, according to this amount. And these laws that are called the laws of penalties – for example, the laws of a man [who hurt another] man; an ox, an ox; an animal, a man; a man, an animal – must be judged in a court that has been ordained in the Land of Israel (Bava Kamma 84a).

That is that He commanded us about the law of one who injures his fellow. And that is His, may He be exalted, saying, "And when men quarrel" (Exodus 21:26); and this is called, fines. And a verse already came that includes all of the laws of fines - and that is His, may He be exalted, saying, "as he has done, so shall it be done to him" (Leviticus 24:19): That [which is] taken away from him is in exchange for that which he hurt him, according to the measure of the hurt - as it appears in the tradition. And even if it was only that he embarrassed him; behold he is fined this measure of his money. And you should know that all of these laws of fines that are laws between one person and another - and likewise, when an animal damages a person or a person damages an animal - are indeed only judged and fined by a court of those who have been ordained in the Land of Israel. And the details of the law of this commandment have already been explained in Chapter 1 of Bava Kamma. (See Parashat Mishpatim; Mishneh Torah, One Who Injures a Person or Property 1.)