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Задача 43:
Автор - GeoGen, Пучков Пётр

В треугольнике ABC I - центр вписанной окружности, N - точка Нагеля, F - точка Фейербаха, H - ортоцентр. X - симметрична I относительно F. Докажите, что окружность (IHX) касается прямой HN



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Задача 43:
Автор - GeoGen, Пучков Пётр

В треугольнике ABC I - центр вписанной окружности, N - точка Нагеля, F - точка Фейербаха, H - ортоцентр. X - симметрична I относительно F. Докажите, что окружность (IHX) касается прямой HN

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Apparently upbeat developments in Russia's discussions with Ukraine helped at least temporarily send investors back into risk assets. Russian President Vladimir Putin said during a meeting with his Belarusian counterpart Alexander Lukashenko that there were "certain positive developments" occurring in the talks with Ukraine, according to a transcript of their meeting. Putin added that discussions were happening "almost on a daily basis." In a message on his Telegram channel recently recounting the episode, Durov wrote: "I lost my company and my home, but would do it again – without hesitation." Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. One thing that Telegram now offers to all users is the ability to “disappear” messages or set remote deletion deadlines. That enables users to have much more control over how long people can access what you’re sending them. Given that Russian law enforcement officials are reportedly (via Insider) stopping people in the street and demanding to read their text messages, this could be vital to protect individuals from reprisals.
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