(Mishnah): Beis Shamai say that one may bring Shelamim offerings without performing Semichah, but one may not bring Olah offerings.

Beis Hillel say that one may bring Shelamim and Olah offerings and perform Semichah.

(Gemara): Beis Shamai say that Semichah in an irregular way is permitted; Beis Hillel say that it is only permitted in the regular way.

What is "irregular Semichah''? If it was performed on the previous day.

R. Zeira: All agree that one does not fulfil his obligation if on the previous day he performed Semichah on the Korban Asham of a Metzora.

They also agree that one fulfils his obligation if on the previous day he performed Semichah on a voluntary Korban Shelamim.

They disagree over Shalmei Chagigah (that are brought on the festivals) - Beis Shamai view it like a voluntary Shelamim; Beis Hillel view it like the Asham of a Metzorah.

R. Yasi: This law, that one does not fulfil his obligation if on the previous day he performed Semichah on the Korban Asham of a Metzora; only applies if it was brought on time, but if brought late (e.g. on the 9th day of his Taharah process), it receives the law of the volunteer Shelamim offerings.

Beis Hillel to Beis Shamai: If at a time when it is prohibited to a private person (such as slaughtering on Shabbos), it is permitted in the Temple (for public sacrifices); at a time when it is permitted to a private person (to slaughter on Yom Tov), it will certainly be permitted in the Temple.

Beis Shamai respond: Volunteer sacrifices disprove it, as they are permitted to a private person (to slaughter animal to eat) but they are prohibited in the Temple?!

Beis Hillel reply: No, volunteer sacrifices do not have a fixed time, but would you say it for a Chagigah sacrifice that has a fixed time?

Beis Shamai: Chagigah does not have a fixed time, as if he did not bring it on the first day, he could bring it on the second day; if not on the second day, he could bring it on the third day.

Beis Hillel: Chagigah has a fixed time, as if he did not bring it on the festival, he cannot bring it later.

Beis Shamai: It is because the Pasuk states (Shemos 12, 16), "...except you may make for yourselves that which every person eats'' - this slaughtering is not done for human consumption, so it is prohibited.

Beis Hillel: This is not a proof! It is not "for yourselves'' but it is for the Temple service.

Aba Shaul expressed it in another way - if at the time when your stove is closed (on Shabbos), your master's stove is open; when your stove is open (on Yom Tov), certainly your master's stove should be open.

Another expression - it is not correct that your table is full and your creator's table is empty.