Reference: Wave offerings
Easton
parts of peace-offerings were so called, because they were waved by the priests (Ex 29:24,26-27; Le 7:20-34; 8:27; 9:21; 10:14-15, etc.), in token of a solemn special presentation to God. They then became the property of the priests. The first-fruits, a sheaf of barley, offered at the feast of Pentecost (Le 23:17-20), and wheat-bread, the first-fruits of the second harvest, offered at the Passover (Le 23:10-14), were wave-offerings.
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And put all these in the hands of Aaron and his sons and they shall wave them for a wave offering before the Lord.
And take the breast of the ram of Aaron's consecration and ordination and wave it for a wave offering before the Lord; and it shall be your portion [Moses]. And you shall sanctify (set apart for God) the waved breast of the ram used in the ordination and the waved thigh of the priests' portion, since it is for Aaron and his sons.
But the one who eats of the flesh of the sacrifice of peace offerings that belong to the Lord when he is [ceremonially] unclean, that person shall be cut off from his people [deprived of the privileges of association with them]. And if anyone touches any unclean thing -- "the uncleanness of man or an unclean beast or any unclean abomination -- "and then eats of the flesh of the sacrifice of the Lord's peace offerings, that person shall be cut off from his people. read more. And the Lord said to Moses, Say to the Israelites, You shall eat no kind of fat, of ox, or sheep, or goat. The fat of the beast that dies of itself and the fat of one that is torn with beasts may be put to any other use, but under no circumstances are you to eat of it. For whoever eats the fat of the beast from which men offer an offering made by fire to the Lord, that person shall be cut off from his people. Moreover, you shall eat no blood of any kind, whether of bird or of beast, in any of your dwellings. Whoever eats any kind of blood, that person shall be cut off from his people. And the Lord said to Moses, Tell the Israelites, He who offers the sacrifice of his peace offerings to the Lord shall bring his offering to the Lord; from the sacrifice of his peace offerings He shall bring with his own hands the offerings made by fire to the Lord; he shall bring the fat with the breast, that the breast may be waved as a wave offering before the Lord. The priest shall burn the fat on the altar, but the breast shall be for Aaron and his sons. And the right thigh you shall give to the priest for an offering from the sacrifices of your peace offerings. The son of Aaron who offers the blood of the peace offerings and the fat shall have the right thigh for his portion. For I have taken the breast that was waved and the thigh that was offered from the Israelites, out of the sacrifices of their peace offerings, and have given them to Aaron the priest and to his sons as their perpetual due from the Israelites.
And he put all these in Aaron's hands and his sons' hands and waved them for a wave offering before the Lord.
But the breasts and the right thigh Aaron waved for a wave offering before the Lord, as Moses commanded.
But the breast that is waved and the thigh that is offered you shall eat in a clean place, you and your sons and daughters with you; for they are your due and your sons' due, given out of the sacrifices of the peace offerings of the Israelites. The thigh that is offered and the breast that is waved they shall bring with the offerings made by fire of the fat, to wave for a wave offering before the Lord; and it shall be yours and your sons' with you as a portion or due perpetually, as the Lord has commanded.
Tell the Israelites, When you have come into the land I give you and reap its harvest, you shall bring the sheaf of the firstfruits of your harvest to the priest. And he shall wave the sheaf before the Lord, that you may be accepted; on the next day after the Sabbath the priest shall wave it [before the Lord]. read more. You shall offer on the day when you wave the sheaf a male lamb a year old without blemish for a burnt offering to the Lord. Its cereal offering shall be two-tenths of an ephah of fine flour mixed with oil, an offering made by fire to the Lord for a sweet, pleasing, and satisfying fragrance; and the drink offering of it [to be poured out] shall be of wine, a fourth of a hin. And you shall eat neither bread nor parched grain nor green ears, until this same day when you have brought the offering of your God; it is a statute forever throughout your generations in all your houses.
You shall bring from your dwellings two loaves of bread to be waved, made from two-tenths of an ephah of fine flour; they shall be baked with leaven, for firstfruits to the Lord. And you shall offer with the bread seven lambs, a year old and without blemish, and one young bull and two rams. They shall be a burnt offering to the Lord, with their cereal offering and their drink offerings, an offering made by fire, of a sweet and satisfying fragrance to the Lord. read more. Then you shall sacrifice one he-goat for a sin offering and two he-lambs, a year old, for a sacrifice of peace offering. The priest shall wave the two lambs, together with the bread of the firstfruits, for a wave offering before the Lord. They shall be holy to the Lord for the priest.