John Gills Exposition of the Bible Commentary - Leviticus 3:4
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 ... read more
Matthew Henry's Complete Commentary - Leviticus 3:1-5
The burnt-offerings had regard to God as in himself the best of beings, most perfect and excellent; they were purely expressive of adoration, and therefore were wholly burnt. But the peace-offerings had regard to God as a benefactor to his creatures, and the giver of all good things to us; and therefore these were divided between the altar, the priest, and the owner. Peace signifies, 1. Reconciliation, concord, and communion. And so these were called peace-offerings, because in them God and... read more