Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...
40 KB (6,714 words) - 22:28, 13 November 2024
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...
15 KB (1,955 words) - 02:05, 6 May 2024
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...
13 KB (1,908 words) - 16:29, 11 October 2024
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...
33 KB (4,200 words) - 01:54, 11 November 2024
spherical trigonometry. This followed earlier work by Greek mathematicians such as Menelaus of Alexandria, who wrote a book on spherical trigonometry...
55 KB (6,465 words) - 22:55, 14 November 2024
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...
13 KB (1,759 words) - 14:32, 15 October 2024
followers on spherical geometry", Gaṇita Bhārati, 36: 53–108, arXiv:1409.4736 Todhunter, Isaac; Leathem, John Gaston (1901), Spherical Trigonometry (Revised ed...
6 KB (708 words) - 16:41, 26 July 2024
and location on Earth. It relies on the mathematical methods of spherical trigonometry and the measurements of astrometry. This is the oldest branch of...
6 KB (662 words) - 17:07, 22 October 2023
others. He developed trigonometry and constructed trigonometric tables, and he solved several problems of spherical trigonometry. With his solar and lunar...
83 KB (10,078 words) - 00:47, 8 November 2024
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
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...
8 KB (1,363 words) - 02:55, 4 October 2024
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
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...
73 KB (8,460 words) - 13:32, 10 October 2024
astronomer who worked in Baghdad. He made important innovations in spherical trigonometry, and his work on arithmetic for businessmen contains the first instance...
13 KB (1,309 words) - 07:56, 22 October 2024
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 —...
23 KB (3,692 words) - 09:43, 25 October 2024
In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...
83 KB (12,318 words) - 11:23, 15 November 2024
to trigonometry: Trigonometry – branch of mathematics that studies the relationships between the sides and the angles in triangles. Trigonometry defines...
9 KB (706 words) - 12:17, 30 October 2023
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....
7 KB (993 words) - 06:46, 4 October 2024
on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex...
16 KB (1,685 words) - 11:26, 18 July 2024
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...
15 KB (1,380 words) - 10:24, 1 August 2024
on the TV series The 100 Crickets of the subfamily Trigonidiinae Spherical trigonometry Non-euclidean geometry Celestial navigation This disambiguation...
678 bytes (117 words) - 21:12, 10 September 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
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...
12 KB (3,048 words) - 02:08, 20 July 2024
was the prominent mathematician of his time who contributed to spherical trigonometry with new and interesting solutions, which he took as a basis for...
25 KB (3,001 words) - 19:41, 18 July 2024
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...
10 KB (1,028 words) - 04:59, 22 October 2024