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Задача 55:
Автор - Ким Пётр
Источник: MGO 2024, задача 3

Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD).
Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.



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Задача 55:
Автор - Ким Пётр
Источник: MGO 2024, задача 3

Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD).
Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.

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