spherical trigonometry - Definition. Was ist spherical trigonometry
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Was (wer) ist spherical trigonometry - definition


Spherical trigonometry         
  • Eight spherical triangles defined by the intersection of three great circles.
  • A quadrantal spherical triangle together with Napier's circle for use in his mnemonics
  • 300px
  • The basic triangle on a unit sphere.
  • The polar triangle ''A'B'C' ''
  • 100px
  • 500px
  • 200px
BRANCH OF SPHERICAL GEOMETRY THAT DEALS WITH THE RELATIONSHIPS BETWEEN TRIGONOMETRIC FUNCTIONS OF THE SIDES AND ANGLES OF THE SPHERICAL POLYGONS.
Angle excess; Neper's circle; Neper's pentagon; Spherical triangle; Spherical excess; Spherical polygon; Spherical trig; Girard's Theorem; Girard's theorem; Spherical triangles; Napier Circle; ∹; Spherical Trigonometry; Spherical trigonometrical formulae; Napier's analogies; Spherical trigonometric identities; Spherical polygon area; Spherical area; Spherical trigonometrical
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 triangle         
  • Eight spherical triangles defined by the intersection of three great circles.
  • A quadrantal spherical triangle together with Napier's circle for use in his mnemonics
  • 300px
  • The basic triangle on a unit sphere.
  • The polar triangle ''A'B'C' ''
  • 100px
  • 500px
  • 200px
BRANCH OF SPHERICAL GEOMETRY THAT DEALS WITH THE RELATIONSHIPS BETWEEN TRIGONOMETRIC FUNCTIONS OF THE SIDES AND ANGLES OF THE SPHERICAL POLYGONS.
Angle excess; Neper's circle; Neper's pentagon; Spherical triangle; Spherical excess; Spherical polygon; Spherical trig; Girard's Theorem; Girard's theorem; Spherical triangles; Napier Circle; ∹; Spherical Trigonometry; Spherical trigonometrical formulae; Napier's analogies; Spherical trigonometric identities; Spherical polygon area; Spherical area; Spherical trigonometrical
¦ noun a triangle formed by three arcs of great circles on a sphere.
History of trigonometry         
  • [[Guo Shoujing]] (1231–1316)
  • Page from ''[[The Compendious Book on Calculation by Completion and Balancing]]'' by [[Muhammad ibn Mūsā al-Khwārizmī]] (c. AD 820)
  • [[Menelaus' theorem]]
  • The chord of an angle subtends the arc of the angle.
ASPECT OF HISTORY
History of trigonometric functions; Trigonometry in ancient Egypt
Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics. Trigonometry was also prevalent in Kushite mathematics.
Beispiele aus Textkorpus für spherical trigonometry
1. Pyongyang, February 1 (KCNA) –– Ryangdoui, a calculator which quickly and easily does complicated sums for solving formulae of spherical trigonometry was invented in the early 1850s in Korea.