ثُمَّ لْيَقْضُوا تَفَثَهُمْ
Then let them complete their prescribed duties,
Ali bin Abi Talhah reported that Ibn Abbas said,
"This means ending Ihram by shaving one's head, putting on one's ordinary clothes, trimming one's nails and so on."
This was also reported from him by Ata' and Mujahid.
This was also the view of Ikrimah and Muhammad bin Ka`b Al-Qurazi.
...
وَلْيُوفُوا نُذُورَهُمْ
and perform their vows,
Ali bin Abi Talhah reported that Ibn Abbas said,
this means any vows made about sacrificing a camel.
...
وَلْيَطَّوَّفُوا بِالْبَيْتِ الْعَتِيقِ
and circumambulate the `Atiq House.
Mujahid said,
"This means the Tawaf which is obligatory on the day of Sacrifice."
Ibn Abi Hatim recorded that Abu Hamzah said,
"Ibn Abbas said to me;`Have you read in Surah Al-Hajj where Allah says;
وَلْيَطَّوَّفُوا بِالْبَيْتِ الْعَتِيقِ
(and circumambulate the `Atiq House). The end of rituals is the Tawaf around the `Atiq House."'
I say, this is what the Messenger of Allah did. When he came back from Mina on the day of Sacrifice, he began with stoning the Jamrah, stoning it with seven pebbles, then he offered his sacrifice and shaved his head, then he departed and circumambulated the House."
In the Two Sahihs it was recorded that Ibn Abbas said,
"The people were commanded to end their visit to the Ka`bah by circumambulating the House, but menstruating women are exempt from this.
بِالْبَيْتِ الْعَتِيقِ
(the `Atiq House) the area from behind Al-Hijr, because this was originally part of the Ka`bah built by Ibrahim, but the Quraysh excluded it from the House (when they had to rebuild it) because they were short of funds. The Messenger of Allah included it in his Tawaf and said that it is part of the House. He did not acknowledge the two Shami corners, because they were not built precisely upon the original foundations of Ibrahim.
Qatadah narrated that Al-Hasan Al-Basri commented on the Ayah,
وَلْيَطَّوَّفُوا بِالْبَيْتِ الْعَتِيقِ
(and circumambulate the `Atiq House),
"Because it is the first House established for mankind."
This was also the view of Abdur-Rahman bin Zayd bin Aslam.
It was recorded that Ikrimah said,
"It was called Al-Bayt Al-`Atiq because it survived (U`tiqa) from the flood at the time of Nuh."
Khusayf said,
"It was called Al-Bayt Al-`Atiq because it was never conquered by any tyrant.