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One forms a spherical triangle, one of its vertices is at Ca'ba, another at the location from where the direction towards Ca'ba is to be determined, and the third at North Pole.
This happens on January 12 or January 13 at GMT and on November 28 at GMT.
On those dates, the direction of shadows in any sunlit place will point directly away from the Qiblah.
The value q = 0 means directly to North, 90° directly to East, ±180° directly to South and -90° directly to West.
Determining the direction of the Qiblah was a central issue and a constant generator of a scientific environment during the Islamic Golden Age, one that required both mathematics and observation.
This happens on May 27 or May 28 at GMT and on July 15 or July 16 at GMT.
Likewise there are two moments in each year when the Sun is directly over the antipode of the Kaaba.
He then uses the compass to determine the north point, the meridian (khaṭṭ niṣf al-nahār), and the Qibla.
This is the first mention of a compass in a medieval Islamic scientific text and its earliest known use as a Qibla indicator, although al-Ashraf did not claim to be the first to use it for this purpose.
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