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Anglický jazyk
Bolyai-Gerwien Theorem
Autor: Lambert M. Surhone
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Bolyai-Gerwien theorem states that any two simple polygons of equal area are equidecomposable; i.e. one can cut... Viac o knihe
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O knihe
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Bolyai-Gerwien theorem states that any two simple polygons of equal area are equidecomposable; i.e. one can cut the first into finitely many polygonal pieces and rearrange the pieces to obtain the second polygon. "Rearrangement" means that one may apply a translation and a rotation to every polygonal piece. Unlike the generalized solution to Tarski''s circle-squaring problem, the axiom of choice is not required for the proof, and the decomposition and reassembly can actually be carried out "physically"; the pieces can, in theory, be cut with scissors from paper and reassembled by hand.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786131255083
