Beitr\"age zur Algebra und Geometrie Contributions to Algebra and Geometry Volume 36 (1995), No. 1 Can You Recognize the Shape of a Figure from its Shadows? J. Kincses and A. Kurusa In connection with the Hammer's X-ray picture problem we discuss the following question: Given two convex compact sets inside a circle such that the sets subtend equal angles at each point of the circle, is it then true that the sets must coincide?