For the source text click/tap here: Beitzah 20
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A Tanna taught in front of Rabbi Yitzchak bar Abba that the verse which says that Aharon offered the olah (on the 8th day of milu'im) and performed its service kamisphat – like the rule teaches that he followed the rules of a voluntary olah. This teaches that one must lean on obligatory olah just as on a voluntary one. Rabbi Yitzchak bar Abba told him that this braisa follows Bais Shamai, who do not learn the requirement of leaning for an obligatory shelamim from a voluntary one, as Bais Hillel, who do learn it, would also learn leaning for an obligatory olah from a voluntary one.
We explore the sugya of semicha and the modern scholars' approach to the history of semicha. According to Solomon Zeitlin, the subject of the Zugos's dispute is not over physical Semicha on an animal, rather it is over the reliance on and the authority of the Chahcomim. In other words, how much to be "סומך" on the Chachomim's traditions and innovations in Halacha.
Some scholars have suggested that the preserved dispute is whether or not rabbinic ordination required the laying of the hands on the student's head.