Why was the Parah Adumah given specifically to Elazar?
Rashi #1: Because he was the S'gan (deputy) Kohen Gadol, and the Mitzvah 1 was incumbent upon the S'gan.
Rashi #2 (on Pasuk 22, citing R. YMoshe ha'Darshan): Just as they assembled before Aharon ha'Kohen to make the Eigel [so too, must a Kohen fix the Parah]. 2
What is the word "u'Nesatem Osah" coming to preclude?
Yoma, 42b: It precludes future generations when any Kohen is eligible to bring the Parah Adumah. 1
See Torah Temimah, note 12.
Why was the Mitzvah of Parah Adumah not given to Aharon?
Rashi (in Pasuk 22, citing R. Moshe ha'Darshan): Due to his participation in the sin of the Eigel. 1
Ramban #1: Due to Aharon's importance and holiness, Hashem did not want to give him an Avodas Chutz to perform. Alternatively, it was in order to train Elazar in at least one aspect of the Kehunah Gedolah during Aharon's lifetime.
Ramban #2: According to the opinion that all subsequent cows could be brought by any Kohen, 2 it was given to Elazar because he and Isamar were the only Kohanim, and it would not have been correct to give it to Elazar's younger brother.
What are the implications of "Ve'hotzi Osah"?
Targum Yonasan: It implies that the Kohen may only take out one Parah at a time, and not two. 1
See Torah Temimah, note 13.
What are the connotations of "mi'Chutz la'Machaneh"?
Rashi #1: It means that the cow must be taken outside all three camps (Machaneh Kehunah, Machaneh Leviyah and Machaneh Yisrael).
What are the implications of "ve'Shachat osah Lefanav"?
Rashi and Targum Yonasan: It implies that somebody else (even a Zar, according to Rashi, 1 a Kohen Hedyot according to Targum Yonasan) must Shecht it in the presence of Elazar.
Targum Yonasan: He surrounds the Parah with arrangements of fig-tree wood 2 (in order to increase the amount of ashes ? Peirush Yonasan).
What is the word "ve'Shachat osah"coming to preclude?
Yoma, 43b: It precludes Shechting another cow together with it. 1
Yoma, 42b: In conjunction with ?u?Nesatem osah el Elazar ha?Kohen?, it disqualifies women from Shechting the Parah Adumah. 2
Why does the Torah juxtapose the Shechitah of the Parah (in this Pasuk) and the burning (in Pasuk 5) to the sprinkling of the blood (in Pasuk 4)?
Zevachim, 113a: To teach us that they must both be performed facing the entrance of the Heichal; otherwise they are Pasul. 1
What are the implications of "Lefanav"?
Rashi (in Yoma, 42a): It implies that another Kohen Shechts the Parah in front of Elazar.
Yoma, 42a: It implies that Elazar is not permitted to be Masi?ach Da?as during the Shechitah. 1
Seeing as the TorahAdumah is called a Chatas, and one may not Shecht two Korbanos simultaneously, why do we need to preclude Shechting another Parah together with it from "osah"?
