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Задача 60:
Автор - GeoGen, Пётр Ким

В выпуклом четырёхугольнике ABCD E - точка пересечения диагоналей. F - точка пересечения лучей AB и DC. Точка X - E-точка Шалтая треугольника AED, а точка Y - E-точка Шалтая треугольника BEC.
Доказать, что (XEY) касается FE.



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Задача 60:
Автор - GeoGen, Пётр Ким

В выпуклом четырёхугольнике ABCD E - точка пересечения диагоналей. F - точка пересечения лучей AB и DC. Точка X - E-точка Шалтая треугольника AED, а точка Y - E-точка Шалтая треугольника BEC.
Доказать, что (XEY) касается FE.

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