Jamieson, Fausset and Brown on Leviticus 3:1

CHAPTER 3

Le 3:1-17. The Peace Offering of the Herd.

1. if his oblation be a sacrifice of peace offering--"Peace" being used in Scripture to denote prosperity and happiness generally, a peace offering was a voluntary tribute of gratitude for health or other benefits. In this view it was eucharistic, being a token of thanksgiving for benefits already received, or it was sometimes votive, presented in prayer for benefits wished for in the future.

of the herd--This kind of offering being of a festive character, either male or female, if without blemish, might be used, as both of them were equally good for food, and, if the circumstances of the offerer allowed it, it might be a calf.