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Через центр O описанной окружности треугольника ABC проведена прямая, пересекающая стороны AB, BC и CA в точках F, D и E соответственно. Докажите, что окружности, построенные на AD, BE и CF как на диаметрах пересекаются в двух точках, одна из которых лежит на описанной окружности треугольника ABC, а вторая на окружности девяти точек.



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Через центр O описанной окружности треугольника ABC проведена прямая, пересекающая стороны AB, BC и CA в точках F, D и E соответственно. Докажите, что окружности, построенные на AD, BE и CF как на диаметрах пересекаются в двух точках, одна из которых лежит на описанной окружности треугольника ABC, а вторая на окружности девяти точек.

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Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores. Multiple pro-Kremlin media figures circulated the post's false claims, including prominent Russian journalist Vladimir Soloviev and the state-controlled Russian outlet RT, according to the DFR Lab's report. In view of this, the regulator has cautioned investors not to rely on such investment tips / advice received through social media platforms. It has also said investors should exercise utmost caution while taking investment decisions while dealing in the securities market. Investors took profits on Friday while they could ahead of the weekend, explained Tom Essaye, founder of Sevens Report Research. Saturday and Sunday could easily bring unfortunate news on the war front—and traders would rather be able to sell any recent winnings at Friday’s earlier prices than wait for a potentially lower price at Monday’s open. Just days after Russia invaded Ukraine, Durov wrote that Telegram was "increasingly becoming a source of unverified information," and he worried about the app being used to "incite ethnic hatred."
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