Elliptic geometry is a non-Euclidean geometry that deals with the properties and relationships of shapes and figures on a curved surface, specifically on a sphere. It is named after the ellipse, the shape of the curves on a sphere. In this geometry, the sum of the angles of a triangle is always greater than 180 degrees, and parallel lines do not exist. Instead, there are great circles, which are the equivalent of straight lines in Euclidean geometry. The concept of distance is also different, as the shortest distance between two points is along a great circle arc, rather than a straight line. Elliptic geometry has applications in various fields, such as navigation, astronomy, and art.
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