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#геометрия #задача

В остроугольном треугольнике ABC отметили центр описанной окружности O и ортоцентр H. Перпендикуляр из H на AO пересекает BC в точке X. Перпендикуляр в X к BC вместе с прямыми AB и AC ограничивает треугольник Δ. Точка S — центр описанной окружности треугольника Δ. Докажите, что SX касается окружности (ABC).



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#геометрия #задача

В остроугольном треугольнике ABC отметили центр описанной окружности O и ортоцентр H. Перпендикуляр из H на AO пересекает BC в точке X. Перпендикуляр в X к BC вместе с прямыми AB и AC ограничивает треугольник Δ. Точка S — центр описанной окружности треугольника Δ. Докажите, что SX касается окружности (ABC).

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After fleeing Russia, the brothers founded Telegram as a way to communicate outside the Kremlin's orbit. They now run it from Dubai, and Pavel Durov says it has more than 500 million monthly active users. Update March 8, 2022: EFF has clarified that Channels and Groups are not fully encrypted, end-to-end, updated our post to link to Telegram’s FAQ for Cloud and Secret chats, updated to clarify that auto-delete is available for group and channel admins, and added some additional links. Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram. The fake Zelenskiy account reached 20,000 followers on Telegram before it was shut down, a remedial action that experts say is all too rare. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm.
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