Three cities of our big world are connected as shown in the image. The resulting figure looks somewhat similar to a triangle. These kinds of figures are studied in –
Non - Euclidean Geometry
This concept has a direct connection to our daily existence since we live on a curved surface called planet Earth. What effect does working on space have on geometrical truths?
In curved space, the sum of the angles of any triangle is always greater than 180∘ . On a sphere, there can be no straight lines. As soon as you start to draw a straight line, it curves on the sphere. In curved space, the shortest distance between any two points is not unique.