1)

(a)Beis Shamai in our Mishnah, permit bringing Shalmei Simchah on Yom Tov, but not Olos Re'iyah or even Shalmei Chagigah (See Tosfos DH 'Yom Tavo'ach' and Maharsha). According to Beis Hillel - one may even bring Olos Re'iyah, too (and certainly Shalmei Chagigah).

(b)They also argue about Semichah. Beis Shamai forbid Semichah to be performed on the Olos Re'iyah that one brings; Beis Hillel require Semichah on both the Olos and the Shelamim - because, in their opinion, Semichah must be performed immediately prior to Shechitah, but not earlier; whereas, according to Beis Shamai, Semichah may be performed the day before, and that is what they did with the Shalmei Simchah.

(c)When Beis Shamai say that, when Shavu'os falls on Friday, the Yom Tavo'ach is on Sunday - they mean that the Yom Tov Korbanos require Tashlumin, seeing as they cannot be brought on Yom Tov (see Tosfos DH 'Yom Tavo'ach').

(d)According to Beis Hillel - when Shavu'os falls on Friday, no Tashlumin is necessary, because both the Shalmei Chagigah and the Olos Re'iyah may be brought on Yom Tov.

2)

(a)Beis Hillel concede to Beis Shamai that there is Yom Tevo'ach on Sunday - when Yom Tov falls on Shabbos.

(b)When the Tana forbids the Kohen Gadol to wear his Yom Tov clothes, he is referring to - wearing his Yom Tov clothes (when he is not performing the Avodah) on the Sunday after Shavu'os that fell on Shabbos (that we just discussed).

(c)The reason for this Halachah - is in order to preclude the opinion of the Tzedokim, who, explaining the Pasuk in Emor ("mi'Mochoras ha'Shabbos") literally, maintained that Shavu'os always has to fall on Sunday, in which case the day under discussion would be a Yom Tov.

3)

(a)Rebbi Elazar Amar Rebbi Oshaya learns from the Pasuk in Re'eh "b'Chag ha'Matzos, uv'Chag ha'Shavuos uv'Chag ha'Sukos" - that Shavu'os, like Pesach, has seven days of Tashlumin.

(b)We initially suggest that we learn seven days of Tashlumin on Shavu'os from Pesach rather than eight days from Sucos, because Shemini Atzeres is an independent Yom Tov - in six ways, hinted in the words 'Pezer Keshev' as we shall see later.

(c)We reject this contention however - on the grounds that Shemini Atzeres is only independent as regards those six issues, but not with regard to Tashlumin, since we cannot deny that Shemini Atzeres is the eighth day of Tashlumin of the Succos Korbanos.

(d)In fact - we learn Shavu'os from Pesach rather than from Sukos, on the basis of the principle 'Tafasta Merubeh Lo Tafasta ... '. Whenever we have a doubt about numbers (such as seven or eight), it is always preferable to accept the smaller number, which cannot be wrong (since seven is included in eight), whereas eight is not included in seven, and might therefore prove to be the wrong choice.

4)

(a)'Pezer Keshev' is the acronym of 'Payis' (lots to determine which groups of Kohanim brought which animals of the Musaf-Offering), 'Zman' ('a new obligation to recite 'she'Hechiyanu'), 'Regel' (the new Yom Tov is called 'Shemini Atzeres' and not 'Succos' [with regard to Tefilah and Kidush]), 'Korban' (they brought a different set of Korbanos [which did not follow the sequence of the rest of Succos]), 'Shirah' (the Shir that the Leviyim sang when the Korban Tamid was brought did not follow the same pattern as that of the rest of Succos) and 'Berachah' (they blessed the king, to commemorate the completion of the Beis Hamikdash, when they blessed Shlomo ha'Melech as they took leave from him on Shemini Atzeres) See also Tos. DH 'Pezer Keshev'.

5)

(a)We learn Succos from Pesach (in the Pasuk "b'Chag ha'Matzos, uv'Chag ha'Shavuos uv'Chag ha'Sukos") - with regard to the Mitzvah of Linah (the obligation of remaining overnight in Yerushalayim).

(b)We learn Linah by Pesach from the Pasuk "u'Fanisa va'Boker v'Halachta l'Ohalecha", which cannot possibly be referring to the morning of Yom Tov itself - because it would be forbidden to go home on Yom Tov, due to the Isur of Techumin.

(c)Initially, we interpret the Mishnah, which writes with regard to Shavu'os which falls on Erev Shabbos 'Beis Hillel Omer, Ein Lah Yom Tavo'ach', to mean - that Shavu'os has no Tashlumin at all, posing a Kashya on Rebbi Elazar Amar Oshaya, who learned on the previous Amud that it does.

(d)What the Tana really therefore means is - that when Shavu'os falls on Erev Shabbos, it does not require a Yom Tavo'ach (since one is permitted to bring the Yom Tov Korbanos on Yom Tov).

6)

(a)We just explained that when Beis Hillel say 'Ein Lah Yom Tavo'ach', they mean to say that one is permitted to bring (even) the Olas Re'iyah on Yom Tov, and Beis Shamai forbid it. This appears to be exactly the same Machlokes as we learned at the beginning of our Mishnah. However, in spite of having taught us ...

1. ... there that even the Olas Re'iyah is forbidden on Yom Tov, Beis Shamai nevertheless found it necessary to repeat it here (by Shavu'os that falls on Erev Shabbos) - because we would otherwise have assumed that since one cannot bring the Olas Re'iyah on the following day (Shabbos) they will concede to Beis Hillel that one is permitted to bring it on Yom Tov (because once one does not bring the Korbanos on the following day, we are afraid that he may forget and not bring them altogether).

2. ... here by Shavu'os that falls on Erev Shabbos that one is permitted to bring the Olas Re'iyah on Yom Tov, Beis Hillel nevertheless found it necessary to repeat it there (by Yom Tov that falls on another day of the week) - because we would otherwise have assumed that there, since it is possible to bring the Korbanos of the Chag on the following day, they will concede to Beis Shamai that it is forbidden to bring them on Yom Tov.

(b)When the Beraisa says 'Mi she'Lo Chag Shiv'as Yemei Pesach ... v'Yom Tov shel Atzeres, Shuv Eino Chogeg' - it refers to Yom Tevo'ach of Shavu'os ...

(c)... posing a Kashya on Rebbi Elazar Amar Rebbi Oshaya, who gives Shavu'os seven days of Tashlumin.

(d)To answer the Kashya, we emend 've'Yom Tavo'ach shel Atzeres' - to 'vi'Yemei Ta'vo'ach shel Atzeres'.

7)

(a)In a Beraisa learned by Rabah bar Shmuel, the Torah compares Shavu'os to Rosh Chodesh with regard to the number of days on which one brings the Korbanos of the day. 'Maneh Yamim v'Kadesh Chodesh' is the Torah's command to count the days and sanctify Rosh Chodesh; in other words, since it is days that one counts to make up each month (and not weeks), Rosh Chodesh therefore has one day on which to bring the Musaf of Rosh Chodesh.

(b)We initially understand the Hekesh of Shavu'os to Rosh Chodesh - to mean that, just as Rosh Chodesh (because it is counted in days), has only one day on which to bring its Korbanos, so too, Shavu'os (by which the Torah writes "Tisperu Chamishim Yom"), also has only one day on which to bring its Korbanos (and no Tashlumin at all).

(c)Rava refutes that contention on the basis of Abaye, who learns from the Pasuk in Re'eh "Shiv'ah Shavu'os Tispar Lach" - that besides counting the days towards Shavu'os (Sefiras ha'Omer), one must also count the weeks, in which case one may just as well learn from the Hekesh to Rosh Chodesh that one has a whole week in which to bring the Korbanos of Shavu'os.

(d)It is even more logical to consider the weeks of Shavu'os (and to therefore give a week of Tashlumin) rather than a day (like Rosh Chodesh, as we thought at first) - because the very name of the Yom Tov ('Shavu'os') suggest that the main aspect of the Yom Tov is the (seven) weeks and not the (fifty) days.

8)

(a)Rebbi Eliezer ben Yakov in a Beraisa learns Tashlumin on Shavu'os from the Pasuk "u'Kerasem ... Mikra Kodesh ... uv'Kutzrechem" - because the Pasuk is saying that the Mikra Kodesh of Shavu'os (with regard to the Korbanos) should coincide with the harvesting of the corn, which can only be referring to the extension of Shavu'os (in the form of Shiv'as Yemei Tashlumin) ...

(b)... and not to Yom Tov itself - because harvesting is forbidden on Yom Tov.

(c)We now have two sources for Tashlumin. In fact, we need both ...

1. ... the Beraisa, despite Rebbi Elazar Amar Rebbi Oshaya (the Hekesh of Shavu'os to Pesach) - because if not for the former, we would learn from the latter that work is forbidden during the days of Shiv'as Yemei Tashlumin of Shavu'os.

2. ... Rebbi Elazar Amar Rebbi Oshaya, in spite of the Beraisa ("u'Kerasem ... uv'Kutzrechem") - because from the latter, we would not know how many days of Tashlumin there are.