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#геометрия #задача

Прямая, проходящая через ортоцентр треугольника ABC пересекает его стороны AB и AC в точках D и E соответственно. Сторона BC, перпендикуляр к AB в точке D и перпендикуляр к AC в точке E образуют треугольник T. Докажите, что описанные окружности треугольников T и ABC касаются.



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#геометрия #задача

Прямая, проходящая через ортоцентр треугольника ABC пересекает его стороны AB и AC в точках D и E соответственно. Сторона BC, перпендикуляр к AB в точке D и перпендикуляр к AC в точке E образуют треугольник T. Докажите, что описанные окружности треугольников T и ABC касаются.

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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. The news also helped traders look past another report showing decades-high inflation and shake off some of the volatility from recent sessions. The Bureau of Labor Statistics' February Consumer Price Index (CPI) this week showed another surge in prices even before Russia escalated its attacks in Ukraine. The headline CPI — soaring 7.9% over last year — underscored the sticky inflationary pressures reverberating across the U.S. economy, with everything from groceries to rents and airline fares getting more expensive for everyday consumers. Right now the digital security needs of Russians and Ukrainians are very different, and they lead to very different caveats about how to mitigate the risks associated with using Telegram. For Ukrainians in Ukraine, whose physical safety is at risk because they are in a war zone, digital security is probably not their highest priority. They may value access to news and communication with their loved ones over making sure that all of their communications are encrypted in such a manner that they are indecipherable to Telegram, its employees, or governments with court orders. Telegram does offer end-to-end encrypted communications through Secret Chats, but this is not the default setting. Standard conversations use the MTProto method, enabling server-client encryption but with them stored on the server for ease-of-access. This makes using Telegram across multiple devices simple, but also means that the regular Telegram chats you’re having with folks are not as secure as you may believe. False news often spreads via public groups, or chats, with potentially fatal effects.
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