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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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In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. But Kliuchnikov, the Ukranian now in France, said he will use Signal or WhatsApp for sensitive conversations, but questions around privacy on Telegram do not give him pause when it comes to sharing information about the war. The Securities and Exchange Board of India (Sebi) had carried out a similar exercise in 2017 in a matter related to circulation of messages through WhatsApp. On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands.
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