Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...
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tables of sine values, and used them to solve problems in trigonometry and spherical trigonometry. In the 2nd century AD, the Greco-Egyptian astronomer Ptolemy...
50 KB (4,939 words) - 10:48, 2 September 2024
author on trigonometry was Bhaskara II in the 12th century. Bhaskara II developed spherical trigonometry, and discovered many trigonometric results. Bhaskara...
50 KB (6,365 words) - 05:58, 10 October 2024
geodesy, spherical geometry and the metrical tools of spherical trigonometry are in many respects analogous to Euclidean plane geometry and trigonometry, but...
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and allows the exact calculation (hisab) of the qibla using a spherical trigonometric formula that takes the coordinates of a location and of the Kaaba...
57 KB (7,463 words) - 23:26, 21 October 2024
Great-circle distance (redirect from Spherical distance)
Isoazimuthal Loxodromic navigation Meridian arc Rhumb line Spherical geometry Spherical trigonometry Versor Admiralty Manual of Navigation, Volume 1, The Stationery...
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development of trigonometry. He "innovated new trigonometric functions, created a table of cotangents, and made some formulas in spherical trigonometry." These...
46 KB (5,444 words) - 22:42, 15 November 2024
John Napier (section Trigonometry)
natural logarithms of trigonometric functions.: Ch. III The book also has a discussion of theorems in spherical trigonometry, usually known as Napier's...
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spherical trigonometry. This followed earlier work by Greek mathematicians such as Menelaus of Alexandria, who wrote a book on spherical trigonometry...
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Hyperbolic triangle (redirect from Hyperbolic triangle trigonometry)
the angles and sides are analogous to those of spherical trigonometry; the length scale for both spherical geometry and hyperbolic geometry can for example...
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followers on spherical geometry", Gaṇita Bhārati, 36: 53–108, arXiv:1409.4736 Todhunter, Isaac; Leathem, John Gaston (1901), Spherical Trigonometry (Revised ed...
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and location on Earth. It relies on the mathematical methods of spherical trigonometry and the measurements of astrometry. This is the oldest branch of...
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Bhāskara II (section Trigonometry)
knowledge of trigonometry, including the sine table and relationships between different trigonometric functions. He also developed spherical trigonometry, along...
33 KB (3,688 words) - 14:38, 22 November 2024
others. He developed trigonometry and constructed trigonometric tables, and he solved several problems of spherical trigonometry. With his solar and lunar...
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In spherical trigonometry, the law of cosines (also called the cosine rule for sides) is a theorem relating the sides and angles of spherical triangles...
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Haversine formula (category Spherical trigonometry)
of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles. The first table of...
18 KB (2,539 words) - 21:20, 19 November 2024
Aryabhata (section Trigonometry)
part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations...
42 KB (4,761 words) - 23:01, 17 November 2024
Geodesics on an ellipsoid (redirect from Ellipsoidal trigonometry)
circles (all of which are closed) and the problems reduce to ones in spherical trigonometry. However, Newton (1687) showed that the effect of the rotation of...
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astronomer who worked in Baghdad. He made important innovations in spherical trigonometry, and his work on arithmetic for businessmen contains the first instance...
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Solution of triangles (category Spherical trigonometry)
Spherical trigonometry on Math World. Intro to Spherical Trig. Includes discussion of The Napier circle and Napier's rules Spherical Trigonometry —...
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Great circle (category Spherical trigonometry)
a great circle is a geodesic of the sphere, so that great circles in spherical geometry are the natural analog of straight lines in Euclidean space....
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i}} . The usual laws for planar trigonometry of a triangle hold for this triangle. Consider the projective (spherical) triangle at the point P i {\displaystyle...
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was the prominent mathematician of his time who contributed to spherical trigonometry with new and interesting solutions, which he took as a basis for...
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this definition, the galactic poles and equator can be found from spherical trigonometry and can be precessed to other epochs; see the table. The IAU recommended...
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In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...
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on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex...
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to trigonometry: Trigonometry – branch of mathematics that studies the relationships between the sides and the angles in triangles. Trigonometry defines...
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Radhanath Sikdar (section Great Trigonometric Survey)
mathematician who had specialised in Spherical Trigonometry, so that they could be a part of the Great Trigonometric Survey. In 1832, under the leadership...
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Triangle group (category Spherical trigonometry)
in the center. The resulting tesselation has 4 × 6=24 spherical triangles (it is the spherical disdyakis cube). These groups are finite, which corresponds...
16 KB (1,771 words) - 04:06, 8 February 2024