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Задача. Пусть 𝑀 – середина диагонали 𝐴𝐶 равнобокой трапеции с основаниями 𝐵𝐶 и 𝐴𝐷 (𝐴𝐷 > 𝐵𝐶). Окружности Ω и 𝜔 описаны около треугольников 𝐴𝑀𝐷 и 𝐵𝑀𝐶 соответственно. Касательные к окружности 𝜔, проведённые в точках 𝐵 и 𝑀 пересекаются в точке 𝑃 . Докажите, что прямая 𝑃𝐴 касается окружности Ω.
С наступающим Новым годом 🎄☃️ Пусть у вас будут самые красивые ёлочные игрушки 🎄🔴
Задача. Пусть 𝑀 – середина диагонали 𝐴𝐶 равнобокой трапеции с основаниями 𝐵𝐶 и 𝐴𝐷 (𝐴𝐷 > 𝐵𝐶). Окружности Ω и 𝜔 описаны около треугольников 𝐴𝑀𝐷 и 𝐵𝑀𝐶 соответственно. Касательные к окружности 𝜔, проведённые в точках 𝐵 и 𝑀 пересекаются в точке 𝑃 . Докажите, что прямая 𝑃𝐴 касается окружности Ω.
С наступающим Новым годом 🎄☃️ Пусть у вас будут самые красивые ёлочные игрушки 🎄🔴
But Kliuchnikov, the Ukranian now in France, said he will use Signal or WhatsApp for sensitive conversations, but questions around privacy on Telegram do not give him pause when it comes to sharing information about the war. 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." Just days after Russia invaded Ukraine, Durov wrote that Telegram was "increasingly becoming a source of unverified information," and he worried about the app being used to "incite ethnic hatred." Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform.
from hk
