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Register a new userThe applications of spherical triangles in astronomy and mathematical geography
تطبيقات المثلثات الكروية في علم الفلك و الجغرافيا الرياضية
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جمعة سويد( باحث )
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يتناول هذا البحث دراسة في المثلثات الكروية و الكروية القائمة في الهندسة الناقصية. و يستعرض تاريخ الهندسة الناقصية، و يُعرف المثلثات الجيوديزية و الكروية و القطبية. و دراسة العلاقات المثلثية الكروية، كما و يهدف الباحث من خلال هذا البحث الى توضيح بعض تطبيقات المثلثات الكروية في العلوم الأخرى، كتحديد موقع جرم سماوي في السماء، إيجاد الزاوية الأفقية الموافقة لزاوية مائلة، إيجاد زاوية إقلاع و هبوط طائرة و الزمن الذي تستغرقه الطائرة للوصول بين نقطتين على سطح الأرض.
In this research we study the spherical and right angle spherical triangle of the elliptic geometry and study the history of elliptic geometry, and define the geodesic and spherical and polar triangles, and at the end we study the spherical trigonometerical relations. The study aimed to: explain some of the spherical triangles applications on other sciences. determine the location of star in the space, find the horizontal angle of the correspondent oblique angle. find the angle of landing and embarkation of the airplane and calculate the time the airplane spend on route between tow destinations on the glob surface.
References used
TODHUNTER, M.A., F.R.S SPHERICALTRIGONOMETRY- MACMILLAN 1986
Martin Vermeer- Mathematical Geodesy-21st March 2012
Suh-Young Choi -Spherical triangles and the two components of the SO(3)- July, 2010
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