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Есть следующая простая (и хорошая) планиметрическая задача Микеля. На каждой стороне треугольника взята точка, отличная от вершин. Тогда три окружности, каждая из которых проходит через вершину треугольника и две точки, взятые на сторонах, выходящих из нее, пересекаются в одной точке.

Имеет место быть и такой трехмерный аналог. На каждом ребре тетраэдра взята точка, отличная от вершин. Тогда четыре сферы, каждая из которых проходит через вершину тетраэдра и три точки, взятые на ребрах, выходящих из нее, пересекаются в одной точке.



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Есть следующая простая (и хорошая) планиметрическая задача Микеля. На каждой стороне треугольника взята точка, отличная от вершин. Тогда три окружности, каждая из которых проходит через вершину треугольника и две точки, взятые на сторонах, выходящих из нее, пересекаются в одной точке.

Имеет место быть и такой трехмерный аналог. На каждом ребре тетраэдра взята точка, отличная от вершин. Тогда четыре сферы, каждая из которых проходит через вершину тетраэдра и три точки, взятые на ребрах, выходящих из нее, пересекаются в одной точке.

BY Геометрия с Ниловым




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In 2018, Russia banned Telegram although it reversed the prohibition two years later. "He has kind of an old-school cyber-libertarian world view where technology is there to set you free," Maréchal said. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation. If you initiate a Secret Chat, however, then these communications are end-to-end encrypted and are tied to the device you are using. That means it’s less convenient to access them across multiple platforms, but you are at far less risk of snooping. Back in the day, Secret Chats received some praise from the EFF, but the fact that its standard system isn’t as secure earned it some criticism. If you’re looking for something that is considered more reliable by privacy advocates, then Signal is the EFF’s preferred platform, although that too is not without some caveats. The company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform.
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