NEUROGEOMETRY Telegram 49
Задача 37:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности. Точка S на окружности (ABC) такова, что угол ASI - прямой. D - точка касания вписанной окружности со стороной BC. M - середина дуги BAC окружности (ABC)
Доказать, что окружность с центром в M, проходящая через A касается (BDS) и (CDS).
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Задача 37:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности. Точка S на окружности (ABC) такова, что угол ASI - прямой. D - точка касания вписанной окружности со стороной BC. M - середина дуги BAC окружности (ABC)
Доказать, что окружность с центром в M, проходящая через A касается (BDS) и (CDS).

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