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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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Andrey, a Russian entrepreneur living in Brazil who, fearing retaliation, asked that NPR not use his last name, said Telegram has become one of the few places Russians can access independent news about the war. "For Telegram, accountability has always been a problem, which is why it was so popular even before the full-scale war with far-right extremists and terrorists from all over the world," she told AFP from her safe house outside the Ukrainian capital. This provided opportunity to their linked entities to offload their shares at higher prices and make significant profits at the cost of unsuspecting retail investors. Oh no. There’s a certain degree of myth-making around what exactly went on, so take everything that follows lightly. Telegram was originally launched as a side project by the Durov brothers, with Nikolai handling the coding and Pavel as CEO, while both were at VK. The last couple days have exemplified that uncertainty. On Thursday, news emerged that talks in Turkey between the Russia and Ukraine yielded no positive result. But on Friday, Reuters reported that Russian President Vladimir Putin said there had been some “positive shifts” in talks between the two sides.
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