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Хорошая задача на хорошую идею. Я дурею от этой идеи...

Вписанная в четырехугольник ABCD окружность w касается его сторон BC и AD в точках E и F. Прямая ED вторично
пересекает w в точке X. Оказалось, что (FXD) касается AB и CD.
(!) Точки A, F, X, C лежат на одной окружности



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Хорошая задача на хорошую идею. Я дурею от этой идеи...

Вписанная в четырехугольник ABCD окружность w касается его сторон BC и AD в точках E и F. Прямая ED вторично
пересекает w в точке X. Оказалось, что (FXD) касается AB и CD.
(!) Точки A, F, X, C лежат на одной окружности

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