Question: By changing the basic assumption that given a line and a point not on the line, one and only one line may be drawn through

By changing the basic assumption that given a line and a point not on the line, one and only one line may be drawn through the given point parallel to the given line, we obtain non-Eulerian non-Parallel Eulerian non-Euclidean geometries. In one of these geometries, called elliptic geometry, there are no parallel curved straight perpendicular lines

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