Hilbert’s Error?
Copyright policy )Hilbert’s Error?
It is well known that a center of a given circle cannot be constructed using only a straightedge and that this was proven by David Hilbert. Still it is not so clear what kind of object is proven to be non-existing. We analyze different attempts to define a geometric construction appearing in the literature and observe that none of them is really satisfactory and that Hilbert's proof needs to be corrected (as noted by Akopyan and Fedorov)
History of mathematics in the 20th century, History of geometry, Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics, Geometric constructions in real or complex geometry, geometric constructions, Poncelet-Steiner theorem, David Hilbert
History of mathematics in the 20th century, History of geometry, Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics, Geometric constructions in real or complex geometry, geometric constructions, Poncelet-Steiner theorem, David Hilbert
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