The Napoleon’s Theorem: Synthesis and Related Investigations
DOI:
https://doi.org/10.23756/sp.v4i2.283Keywords:
Napoleon Theorem, convex quadrilaterals, iterated construc- tions.Abstract
We recall a synthetic-geometric demonstration of Napoleon Theorem,
which makes use of the Fermat point. Some insights on the topic related to
convex Quadrilaterals will be made.
Il Teorema di Napoleone: Sintesi e Approfondimenti
Si richiama una dimostrazione di tipo sintetico-geometrico del Teorema
di Napoleone, che fa uso del Punto di Fermat, e si presentano alcuni appro-
fondimenti sul tema relativi ai Quadrilateri Convessi.
Parole Chiave: Il Teorema di Napoleone; quadrilateri convessi, costruzioni
iterate di poligoni.
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References
T. Andreescu, V. Georgiev and O. Mushkarov, Napoleon polygons, Amer. Math. Monthly 121 (2015), 24-29.
A. Barlotti, Intorno ad una generalizzazione di un noto teorema relativo al triangolo, Bollettino Unione Matematica Italiana (3) 7 (1952), 182-185.
A. Barlotti, Una proprietà degli n-agoni che si ottengono trasformando in una affinità un n- agono regolare, Bollettino Unione Matematica Italiana (3) 10 (1955), 96-98.
S.Donisi, G. Vincenzi, G. Vitale, Il Teorema di Napoleoneper i Quadrilateri Convessi, Archimede 3-2012 Pag. 139-144 ISSN: 0390-5543
S. Donisi, H. Martini, G. Vincenzi, G. Vitale, Polygons derived from poly-gons via iterated constructions. Electronic Journal Differential Geometry -Dynamical Systems, Vol. 18, 14 - 31 (2016).
http://areeweb.polito.it/didattica/polymath/htmlS/argoment/ParoleMate/Feb 07 /Napoleone.html
http://www.robertobigoni.eu/Matematica/Napoleone/Napoleone.html
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