The caul above the liver - Probably the membrane covering the upper part of the liver.

And the two kidneys, and the fat that is on them, which is by the flanks,.... Meaning either the two kidneys which were next the flanks, or the fat upon them, which was next to them; these, and the burning of them, may signify the burning zeal and flaming love and affections of Christ for his people, which instructed him, and put him upon offering himself a sacrifice of peace offering for them, see Psalm 16:7.

and the caul above the liver, with the kidneys, it shall he take away; or the caul, which is a thin membrane or skin, in which the liver is enclosed, with the liver, together with the kidneys, he separated from the rest in order to burn, at least with a part of the liver; so Jarchi and Gersom interpret it, that he should take a little of the liver with the caul; and indeed some think the word rendered "caul" signifies a part of the liver, that which the Greeks call the "table", the broader part of it, like a table; and which word the Talmudists (g) retain, who speak of , "the table of the liver"; and by which Jarchi on Exodus 29:13 interprets the caul above the liver, the same as here.

(g) T. Bab. Cholin, fol. 46. 1.

And the two kidneys, and the fat that is on them, which is by the flanks, and the caul above the liver, with the kidneys, it shall he take away.

caul...: or, midriff over the liver, and over the kidneys

Margin caul Fat appendage.

4-11. the two kidneys . of the flock . the whole rump-There is, in Eastern countries, a species of sheep the tails of which are not less than four feet and a half in length. These tails are of a substance between fat and marrow. A sheep of this kind weighs sixty or seventy English pounds weight, of which the tail usually weighs fifteen pounds and upwards. This species is by far the most numerous in Arabia, Syria, and Palestine, and, forming probably a large portion in the flocks of the Israelites, it seems to have been the kind that usually bled on the Jewish altars. The extraordinary size and deliciousness of their tails give additional importance to this law. To command by an express law the tail of a certain sheep to be offered in sacrifice to God, might well surprise us; but the wonder ceases, when we are told of those broad-tailed Eastern sheep, and of the extreme delicacy of that part which was so particularly specified in the statute [Paxton].

3:1-5 The peace-offerings had regard to God as the giver of all good things. These were divided between the altar, the priest, and the owner. They were called peace-offering, because in them God and his people did, as it were, feast together, in token of friendship. The peace-offerings were offered by way of supplication. If a man were in pursuit of any mercy, he would add a peace-offering to his prayer for it. Christ is our Peace, our Peace-offering; for through him alone it is that we can obtain an answer of peace to our prayers. Or, the peace-offering was offered by way of thanksgiving for some mercy received. We must offer to God the sacrifice of praise continually, by Christ our Peace; and then this shall please the Lord better than an ox or bullock.