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Обобщение задачи выше. Дан треугольник ABC и точка P. Точки P_a,P_b,P_c симметричны точке P относительно сторон ABC. Оказалось, что AP_a,BP_b,CP_c пересекаются в точке Q. Докажите, что T_1,T_2,P,Q лежат на одной окружности, где T_1,T_2 точки Торричелли.



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Обобщение задачи выше. Дан треугольник ABC и точка P. Точки P_a,P_b,P_c симметричны точке P относительно сторон ABC. Оказалось, что AP_a,BP_b,CP_c пересекаются в точке Q. Докажите, что T_1,T_2,P,Q лежат на одной окружности, где T_1,T_2 точки Торричелли.

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