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#геом_разминка

Задача. Высоты 𝐵𝐵₁ и 𝐶𝐶₁ остроугольного треугольника 𝐴𝐵𝐶 пересекаются в точке 𝐻. Пусть 𝐵₂ и 𝐶₂ — точки на отрезках 𝐵𝐻 и 𝐶𝐻 соответственно такие, что 𝐵𝐵₂ = 𝐵₁𝐻 и 𝐶𝐶₂ = 𝐶₁𝐻. Описанная окружность треугольника 𝐵₂𝐻𝐶₂ пересекает описанную окружность треугольника 𝐴𝐵𝐶 в точках 𝐷 и 𝐸. Докажите, что треугольник 𝐷𝐸𝐻 прямоугольный.



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#геом_разминка

Задача. Высоты 𝐵𝐵₁ и 𝐶𝐶₁ остроугольного треугольника 𝐴𝐵𝐶 пересекаются в точке 𝐻. Пусть 𝐵₂ и 𝐶₂ — точки на отрезках 𝐵𝐻 и 𝐶𝐻 соответственно такие, что 𝐵𝐵₂ = 𝐵₁𝐻 и 𝐶𝐶₂ = 𝐶₁𝐻. Описанная окружность треугольника 𝐵₂𝐻𝐶₂ пересекает описанную окружность треугольника 𝐴𝐵𝐶 в точках 𝐷 и 𝐸. Докажите, что треугольник 𝐷𝐸𝐻 прямоугольный.

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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. 'Wild West' Groups are also not fully encrypted, end-to-end. This includes private groups. Private groups cannot be seen by other Telegram users, but Telegram itself can see the groups and all of the communications that you have in them. All of the same risks and warnings about channels can be applied to groups. Messages are not fully encrypted by default. That means the company could, in theory, access the content of the messages, or be forced to hand over the data at the request of a government. In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so.
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