30. Más irányú általánosítás

Sejtés:
[img]data:image/png;base64,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[/img][i][size=85][br]A mértani hely kör merőlegesen metszi a szabályos sokszög köré írt kört. ([url=https://www.geogebra.org/u/szilassi]Dr. Szilassi Lajos[/url])[/size][/i][br][size=85](Egy [url=https://www.geogebra.org/m/cwkf5g8f]korábbi probléma[/url] általánosítása)[/size][br][size=85][url=https://www.geogebra.org/m/cwkf5g8f][i]n =[/i] 3[/url][br][url=https://www.geogebra.org/m/z4vb2cun][i]n = [/i]4[/url][/size]
n=5
n=6
A sugárra vonatkozó összefüggés
[size=85][size=150]És a bizonyítás? ...[/size][/size]

Information: 30. Más irányú általánosítás