### What does **spherical polygon** mean?

# Definitions for spherical polygon

spher·i·cal poly·gon

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **spherical polygon**.

### Princeton's WordNet

spherical polygonnoun

a figure on the surface of a sphere bounded by arcs of 3 or more great circles

### Wikipedia

spherical polygon

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 navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam. The subject came to fruition in Early Modern times with important developments by John Napier, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's textbook Spherical trigonometry for the use of colleges and Schools. Since then, significant developments have been the application of vector methods, quaternion methods, and the use of numerical methods.

### ChatGPT

spherical polygon

A spherical polygon is a polygon whose vertices and edges are great circle arcs located on the surface of a sphere. Great circle arcs are the largest circles that can be drawn on a sphere and segment the sphere into two equal hemispheres. This makes spherical polygons different from the traditional Euclidean polygons, which are flat and located in a two-dimensional plane. The sum of the interior angles in a spherical polygon is always greater than the sum in a Euclidean polygon with the same number of sides.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of spherical polygon in Chaldean Numerology is:

**2**Pythagorean Numerology

The numerical value of spherical polygon in Pythagorean Numerology is:

**6**

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"spherical polygon." *Definitions.net.* STANDS4 LLC, 2024. Web. 14 Oct. 2024. <https://www.definitions.net/definition/spherical+polygon>.

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