NOTE SU DUE PROBLEMI DI GEOMETRIA E SUCCESSIONI RICORSIVE
Abstract
La presente nota si divide in quattro paragrafi. Nel primo si
considera la successione dei poligoni regolari di fissato perimetro e tali che
il successivo ha numero di lati doppio del precedente; apotema e raggio di
tali poligoni sono legati da formule ricorrenti il cui limite dipende
esclusivamente dalla figura iniziale che si considera. Nei paragrafi 2 e 3
si studiano le ricorrenze indipendentemente dai poligoni e se ne danno
nuove e più ampie interpretazioni geometriche. Nell’ ultimo paragrafo si
esaminano dapprima le analoghe relazioni intercorrenti tra apotema e raggio
di poligoni regolari di area assegnata, poi si studiano le analoghe successioni
svincolate dai poligoni.
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