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Spherical geometry is characterized by the study of figures on the surface of a sphere, where the usual rules of Euclidean geometry do not apply. In this geometry, the shortest distance between two points is an arc of a great circle, and the sum of the angles in a triangle exceeds 180 degrees. Additionally, parallel lines do not exist, as any two great circles will intersect at two points. Distances and angles are measured differently than in flat geometry, leading to unique properties and relationships.
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What are applications of spherical geometry?
Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
Who created spherical geometry?
The first recorded study of spherical geometry was by Autolycus of Pitane, in the 4th century BC.
What are two uses for spherical geometry?
There is a beautiful proof of Euler's Therom, using the area of the sphere and spherical geometry.
In spherical geometry lines are?
great
What is spherical geometry?
It is the geometry of a sphere as well as of shapes on the surface of the sphere.
What are applications of spherical geometry?
Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
What are lunes in spherical geometry?
Lines in spherical geometry are very easy to understand. Lines in spherical geometry are straight looking items that can be found by graphing points in a certain pattern.
What is Non euclidean geometry?
Geometry that is not on a plane, like spherical geometry
Can a line segment be extended indefinitely in spherical geometry?
that would be a line and lines do not exist in spherical geometry
Who created spherical geometry?
The first recorded study of spherical geometry was by Autolycus of Pitane, in the 4th century BC.
What are two uses for spherical geometry?
There is a beautiful proof of Euler's Therom, using the area of the sphere and spherical geometry.
What is non euclidean?
Geometry that is not on a plane, like spherical geometry
Does the parallel postulate in Euclidean geometry work in spherical geometry?
No.
In spherical geometry lines are?
great
What is spherical geometry?
It is the geometry of a sphere as well as of shapes on the surface of the sphere.
Is spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
Where do parallels meet?
In Euclidean geometry, parallels never meet. In other geometry, such as spherical geometry, this is not true.
