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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).



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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).

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