👉 Another mathematical concept, often referred to as Non-Euclidean Geometry, challenges the traditional Euclidean framework by introducing spaces where the parallel postulate doesn't hold. In Euclidean geometry, given a line and a point not on that line, there's exactly one line through the point parallel to the original. In Non-Euclidean geometry, this uniqueness is lost; there can be infinitely many lines through the point parallel to the original. This leads to fascinating differences in geometry, such as curved spaces and different properties of shapes like triangles and circles. For instance, the sum of angles in a triangle can be less than 180 degrees in hyperbolic geometry (a type of Non-Euclidean geometry) and greater than 180 degrees in elliptical geometry (another type). These concepts have profound implications in various fields, including physics and cosmology.
