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Задача 47:
Автор - Ким Пётр, GeoGen

В треугольнике ABC точки P и Q изогонально сопряжены. Точка X на стороне BC и точка Y таковы что углы AYQ и PXB равны. AP и XY пересекаются в D.
Докажите, что (ABC), (PDX), (AYD) пересекаются в одной точке.



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Задача 47:
Автор - Ким Пётр, GeoGen

В треугольнике ABC точки P и Q изогонально сопряжены. Точка X на стороне BC и точка Y таковы что углы AYQ и PXB равны. AP и XY пересекаются в D.
Докажите, что (ABC), (PDX), (AYD) пересекаются в одной точке.

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