This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 2

1986 IMO Longlists, 69
Tags: circumscribed quadrilateral , cevian triangle , cyclic quadrilateral , geometry
Let $AX,BY,CZ$ be three cevians concurrent at an interior point $D$ of a triangle $ABC$. Prove that if two of the quadrangles $DY AZ,DZBX,DXCY$ are circumscribable, so is the third.

1986 IMO Shortlist, 18
Tags: geometry , cyclic quadrilateral , cevian triangle , circumscribed quadrilateral
Let $AX,BY,CZ$ be three cevians concurrent at an interior point $D$ of a triangle $ABC$. Prove that if two of the quadrangles $DY AZ,DZBX,DXCY$ are circumscribable, so is the third.