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ahmad:5737 – ʿAlī b. Baḥr > ʿĪsá b. Yūnus > ʿUbaydullāh > Nāfiʿ > Ibn ʿUmar

Ibn ʿUmar said, "When Messenger of Allah ﷺ performed the first Tawaf he did Ramal in the first three rounds and then walked in the remaining four rounds (of Tawaf of the Kaʿba), where as in performing Tawaf between Safa and Marwa he used to run in the midst of the rainwater passage," I asked Nafiʿ, "Did ʿAbdullah (bin ʿUmar) use to walk steadily on reaching the Yemenite Corner?" He replied, "No, unless people were crowded at the Corner; otherwise he would not leave it without touching it." (Using translation from Bukhārī 1644)  

أحمد:٥٧٣٧ – حَدَّثَنَا عَلِيُّ بْنُ بَحْرٍ حَدَّثَنَا عِيسَى بْنُ يُونُسَ عَنْ عُبَيْدِ اللهِ عَنْ نَافِعٍ عَنِ ابْنِ عُمَرَ قَالَ

كَانَ رَسُولُ اللهِ ﷺ إِذَا طَافَ الطَّوَافَ الْأَوَّلَ خَبَّ ثَلَاثًا وَمَشَى أَرْبَعًا وَكَانَ يَسْعَى بِبَطْنِ الْمَسِيلِ إِذَا طَافَ بَيْنَ الصَّفَا وَالْمَرْوَةِ  

See similar narrations below:

Collected by Bukhārī, Muslim
bukhari:1617 – Ibrāhīm b. al-Mundhir > Anas b. ʿIyāḍ > ʿUbaydullāh > Nāfiʿ > Ibn ʿUmar

When the Prophet ﷺ performed the Tawaf of the Kaʿba, he did Ramal during the first three rounds and in the last four rounds he used to walk and while doing Tawaf between Safa and Marwa, he used to run in the midst of the rain water passage.  

البخاري:١٦١٧ – حَدَّثَنَا إِبْرَاهِيمُ بْنُ الْمُنْذِرِ حَدَّثَنَا أَنَسُ بْنُ عِيَاضٍ عَنْ عُبَيْدِ اللَّهِ عَنْ نَافِعٍ عَنِ ابْنِ عُمَرَ ؓ

أَنَّ النَّبِيَّ ﷺ كَانَ إِذَا طَافَ بِالْبَيْتِ الطَّوَافَ الأَوَّلَ يَخُبُّ ثَلاَثَةَ أَطْوَافٍ وَيَمْشِي أَرْبَعَةً وَأَنَّهُ كَانَ يَسْعَى بَطْنَ الْمَسِيلِ إِذَا طَافَ بَيْنَ الصَّفَا وَالْمَرْوَةِ  

muslim:1261a – [Chain 1] Abū Bakr b. Abū Shaybah > ʿAbdullāh b. Numayr [Chain 2] Ibn Numayr from my father > ʿUbaydullāh > Nāfiʿ > Ibn ʿUmar

Nafi' reported on the authority of Ibn Umar (Allah be pleased with them) that when Messenger of Allah ﷺ circumambulated the House, while observing the first circumambulation, he walked swiftly in three (circuits), and walked in four circuits, and ran in the bottom of the valley as he moved between al-Safa and al-Marwa. Ibn 'Umar (Allah be pleased with them) also used to do like this.  

مسلم:١٢٦١a – حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ حَدَّثَنَا عَبْدُ اللَّهِ بْنُ نُمَيْرٍ ح وَحَدَّثَنَا ابْنُ نُمَيْرٍ حَدَّثَنَا أَبِي حَدَّثَنَا عُبَيْدُ اللَّهِ عَنْ نَافِعٍ عَنِ ابْنِ عُمَرَ

أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ إِذَا طَافَ بِالْبَيْتِ الطَّوَافَ الأَوَّلَ خَبَّ ثَلاَثًا وَمَشَى أَرْبَعًا وَكَانَ يَسْعَى بِبَطْنِ الْمَسِيلِ إِذَا طَافَ بَيْنَ الصَّفَا وَالْمَرْوَةِ وَكَانَ ابْنُ عُمَرَ يَفْعَلُ ذَلِكَ