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Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and ...
In spherical trigonometry, the law of cosines (also called the cosine rule for sides [1]) is a theorem relating the sides and angles of spherical triangles, analogous to the ordinary law of cosines from plane trigonometry. Spherical triangle solved by the law of cosines. Given a unit sphere, a "spherical triangle" on the surface of the sphere ...
Spherical trigonometry was studied by early Greek mathematicians such as Theodosius of Bithynia, a Greek astronomer and mathematician who wrote Spherics, a book on the geometry of the sphere, [2] and Menelaus of Alexandria, who wrote a book on spherical trigonometry called Sphaerica and developed Menelaus' theorem. [3] [4]
VR photography (after virtual-reality photography) is the interactive viewing of panoramic photographs, generally encompassing a 360-degree circle or a spherical view. The results is known as VR photograph (or VR photo ), 360-degree photo , [ 1 ] photo sphere , [ 2 ] or spherical photo , as well as interactive panorama or immersive panorama .
Pages in category "Spherical trigonometry" The following 15 pages are in this category, out of 15 total. This list may not reflect recent changes. ...
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Spherical triangle In spherical trigonometry , the half side formula relates the angles and lengths of the sides of spherical triangles , which are triangles drawn on the surface of a sphere and so have curved sides and do not obey the formulas for plane triangles .
Al-Jayyānī wrote The book of unknown arcs of a sphere, which is considered "the first treatise on spherical trigonometry", [5] although spherical trigonometry in its ancient Hellenistic form was dealt with by earlier mathematicians such as Menelaus of Alexandria, whose treatise the Spherics included Menelaus' theorem, [6] still a basic tool for solving spherical geometry problems in Al ...