What does spherical geometry mean?
Definitions for spherical geometry
spher·i·cal geom·e·t·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word spherical geometry.
Princeton's WordNet
spherical geometrynoun
(mathematics) the geometry of figures on the surface of a sphere
Wiktionary
spherical geometrynoun
The non-Euclidean geometry on the surface of a sphere.
ChatGPT
spherical geometry
Spherical geometry is a type of non-Euclidean geometry which takes place on the surface of a sphere. It involves the study of geometric shapes and figures, lines, angles, and points, all located on the sphere's surface. Unlike Euclidean geometry, the angles of a triangle in spherical geometry can add up to more than 180 degrees and the shortest distance between two points is along the great circle, not a straight line. It is commonly used in navigation and astronomy.
Wikidata
Spherical geometry
Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a geometry which is not Euclidean. Two practical applications of the principles of spherical geometry are to navigation and astronomy. In plane geometry the basic concepts are points and lines. On the sphere, points are defined in the usual sense. The equivalents of lines are not defined in the usual sense of "straight line" in Euclidean geometry but in the sense of "the shortest paths between points," which are called geodesics. On the sphere the geodesics are the great circles; other geometric concepts are defined as in plane geometry but with straight lines replaced by great circles. Thus, in spherical geometry angles are defined between great circles, resulting in a spherical trigonometry that differs from ordinary trigonometry in many respects; for example, the sum of the interior angles of a triangle exceeds 180 degrees. Spherical geometry is not elliptic geometry but shares with that geometry the property that a line has no parallels through a given point. Contrast this with Euclidean geometry, in which a line has one parallel through a given point, and hyperbolic geometry, in which a line has two parallels and an infinite number of ultraparallels through a given point.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of spherical geometry in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of spherical geometry in Pythagorean Numerology is: 1
Translations for spherical geometry
From our Multilingual Translation Dictionary
- geometrie sfericăRomanian
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"spherical geometry." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/spherical+geometry>.
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