By Thomas Hales
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A. D. Alexandrov's contribution to the sector of intrinsic geometry was once unique and extremely influential. this article is a vintage that is still unsurpassed in its readability and scope. It provides his middle fabric, initially released in Russian in 1948, starting wth an summary of the most strategies after which exploring different themes, akin to basic propositions on an intrinsic metric; angles and curvature; lifestyles of a convex polyhedron with prescribed metric; curves on convex surfaces; and the position of particular curvature.
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