2025/12/02 by Duaa Abdullah, Abdullah, Duaa · 1 voice · 1 citation
Arts and Humanities · Mathematics · Physics and Astronomy · #01A05 #Astrolabe #Astronomer #Azimuth #Calculus (dental) #FOS: Mathematics #FOS: Physical sciences #Historical Astronomy and Related Studies #Historical and Architectural Studies #History and Overview (math.HO) #History and Philosophy of Physics (physics.hist-ph) #History and Theory of Mathematics #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Islam #Trigonometry #astro-ph.IM #math.HO #physics.hist-ph
paper · pdf · doi:10.48550/arxiv.2512.03271
openalex publication_date 2025/12/02 · arxiv published 2025/12/02 · arxiv updated 2025/12/02 · openalex created_date 2025/12/05 · openalex updated_date 2026/08/05
This paper investigates the determination of the Qibla direction using both astronomical and geometrical approaches. The study reviews historical and classical methods employed by Muslim scholars and astronomers including the use of instruments such as the astrolabe and compass. It further explores spherical trigonometry techniques to precisely calculate the Qibla azimuth from any given location on Earth. The research clarifies geometric constructions and presents a computational model implemented in C++ to facilitate accurate Qibla determination. This interdisciplinary analysis underscores the rich tradition of Islamic astronomy and geometry in solving practical religious requirements, providing both theoretical frameworks and practical algorithms for modern application.