Well, the Hijri date 4 Muharram 1364 corresponds to the Gregorian date Tuesday, 19 December 1944. This date lies in the first month of the Hijri year 1364 AH, which is Muharram of 1364 AH. Both this Hijri and Gregorian date occur on the single day that is Tuesday without any doubt. The Arabic date 1364/01/04 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
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The following is the conversion of the Gregorian date 19 December 1944 to its equivalent Arabic date.
The following is the conversion of the Arabic date 4 Muharram 1364 AH to its equivalent Gregorian date.
بِسْمِ ٱللَّهِ ٱلرَّحْمَٰنِ ٱلرَّحِيمِ قُلْ أَعُوذُ بِرَبِّ ٱلنَّاسِ
Say: I seek refuge in the Lord of mankind,
Surah An-Naas(114:1)
Sahih al-Bukhari
Ablutions (Wudu')
Chapter: Washing the feet when one is wearing the shoes, and it is not sufficient for one to pass a wet hand over the shoes (but one should take off the shoes and wash one's feet)
Narrated `Ubaid Ibn Juraij:
I asked `Abdullah bin `Umar, "O Abu `Abdur-Rahman! I saw you doing four things which I never saw being done by anyone of you companions?" `Abdullah bin `Umar said, "What are those, O Ibn Juraij?" I said, "I never saw you touching any corner of the Ka`ba except these (two) facing south (Yemen) and I saw you wearing shoes made of tanned leather and dyeing your hair with Hinna (a kind of red dye). I also noticed that whenever you were in Mecca, the people assume Ihram on seeing the new moon crescent (1st of Dhul-Hijja) while you did not assume the Ihlal (Ihram) -(Ihram is also called Ihlal which means 'Loud calling' because a Muhrim has to recite Talbiya aloud when assuming the state of Ihram) - till the 8th of Dhul-Hijja (Day of Tarwiya). `Abdullah replied, "Regarding the corners of Ka`ba, I never saw Allah's Messenger (ﷺ) touching except those facing south (Yemen) and regarding the tanned leather shoes, no doubt I saw Allah's Messenger (ﷺ) wearing non-hairy shoes and he used to perform ablution while wearing the shoes (i.e. wash his feet and then put on the shoes). So I love to wear similar shoes. And about the dyeing of hair with Hinna; no doubt I saw Allah's Messenger (ﷺ) dyeing his hair with it and that is why I like to dye (my hair with it). Regarding Ihlal, I did not see Allah's Messenger (ﷺ) assuming Ihlal till he set out for Hajj (on the 8th of Dhul-Hijja).
Sahih al-Bukhari 166