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Haytham discussed concave and convex mirrors in both cylindrical and spherical geometries, carried out a number of experiments with mirrors, and solved the problem of finding the point on a convex mirror at which a ray coming from one point is reflected to another point. 
Spherical mirrors were discovered in the 15th centuries which were in the shape of a curved glass piece. Many discoveries were done in the part of mirrors. Atlast it resulted in the mirrors like concave mirrors etc. Such as Spherical mirrors were a great discovery which still exists with a vast use.