Texte intégral
D1803- Bissections en cascades [* à la main]
Les bissectrices d’un triangle équilatéral ABC se rencontrent en O. OB coupe AC en D. Les bissectrices des BAO et CAO coupent respectivement BO en E et CO en F. La bissectrice de l’angle ACO coupe DF en G.
Montrer que OG est parallèle à BC et DF est perpendiculaire à CE.
Source: Ross Honsberger - Mathematical chestnuts around the world pages 131 et suivantes
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