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The great circle is the intersection of a sphere and any plane passing through its centre.

Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.

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Q: What is a great circle in spherical geometry?
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Related questions

A great circle is another name for a in Riemann's spherical geometry?

line


A line in riemann's sperical geometry is called a?

A line in Riemann's spherical geometry is called a great circle, which is the intersection of a sphere with a plane passing through its center. Great circles are the equivalent of straight lines in this non-Euclidean geometry.


In spherical geometry lines are?

great


What are lines called in spherical geometry?

great circles


In spherical geometry lines are called .?

great circles


What are lines called in Riemann's spherical geometry?

great circles


How many times can two great lines intersect is spherical geometry?

Two.


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 the distance between two points?

In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.


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