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Задача 59:
Автор - Пётр Ким
Источник - Южный Математический Турнир 2024

В треугольнике ABC w - вписанная окружность. B-полувписанная окружность пересекает C-полувписанную окружность в точке X. Оказалось, что X лежит вне w. Из X провели касательные k и l к w.
Доказать, что существует окружность, касающаяся k и l и проходящая через B и C.



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Задача 59:
Автор - Пётр Ким
Источник - Южный Математический Турнир 2024

В треугольнике ABC w - вписанная окружность. B-полувписанная окружность пересекает C-полувписанную окружность в точке X. Оказалось, что X лежит вне w. Из X провели касательные k и l к w.
Доказать, что существует окружность, касающаяся k и l и проходящая через B и C.

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