SPHERICAL GEOMETRY Meaning and
Definition
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Spherical geometry is a branch of mathematics that deals with the study of geometric concepts and properties on the surface of a sphere. It is a non-Euclidean geometry because it does not adhere to the parallel postulate of Euclidean geometry. In spherical geometry, lines are not defined as straight paths but as great circles, which are circles formed on the surface of the sphere in such a way that their center coincides with the center of the sphere.
One of the fundamental concepts in spherical geometry is that the shortest distance between two points on the surface of a sphere is along a segment of a great circle connecting those points. Another key concept is spherical triangles, which are formed by three arcs of great circles on the surface of a sphere. Spherical triangles can be classified based on their angles and their sides, and they follow different rules and theorems compared to triangles in Euclidean geometry.
Spherical geometry has various applications, including astronomy, navigation, and geography, where the Earth is often approximated as a sphere. It is also used in mathematical models and representations of curved spaces. The study of spherical geometry helps to understand the properties of curved surfaces and expands our understanding of geometrical concepts beyond the traditional Euclidean framework.
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That branch of geometry that treats of spherical bodies and their various properties.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Common Misspellings for SPHERICAL GEOMETRY
- apherical geometry
- zpherical geometry
- xpherical geometry
- dpherical geometry
- epherical geometry
- wpherical geometry
- soherical geometry
- slherical geometry
- s-herical geometry
- s0herical geometry
- spgerical geometry
- spberical geometry
- spnerical geometry
- spjerical geometry
- spuerical geometry
- spyerical geometry
- sphwrical geometry
- sphsrical geometry
- sphdrical geometry
Etymology of SPHERICAL GEOMETRY
The term "spherical geometry" can be traced back to its etymological origins.
The word "sphere" comes from the Latin word "sphaera", which in turn derives from the Ancient Greek word "sphaira". It originally referred to a solid, round object.
The term "geometry" also has its roots in Ancient Greek. It is composed of two words: "ge" meaning "earth" and "metron" meaning "measure". Geometry in its basic sense means measuring the Earth, but it has since broadened to encompass the study of shapes, sizes, and properties of figures and spaces.
When combined, "spherical" refers to something related to a sphere, while "geometry" pertains to the study of shapes and sizes. Therefore, "spherical geometry" specifically denotes the branch of mathematics that deals with the properties and measurements of figures on the surface of a sphere.
Similar spelling words for SPHERICAL GEOMETRY
