Задача. Дан выпуклый четырехугольник 𝐴𝐵𝐶𝐷. Известно, что окружности, вписанные в треугольники 𝐴𝐵𝐶 и 𝐴𝐷𝐶 касаются друг друга. Докажите, что окружности, вписанные в треугольники 𝐴𝐵𝐷 и 𝐶𝐷𝐵 также касаются друг друга.
Пусть первые снежные сугробы добавят вам новогоднего настроения ☃️
Задача. Дан выпуклый четырехугольник 𝐴𝐵𝐶𝐷. Известно, что окружности, вписанные в треугольники 𝐴𝐵𝐶 и 𝐴𝐷𝐶 касаются друг друга. Докажите, что окружности, вписанные в треугольники 𝐴𝐵𝐷 и 𝐶𝐷𝐵 также касаются друг друга.
Пусть первые снежные сугробы добавят вам новогоднего настроения ☃️
In February 2014, the Ukrainian people ousted pro-Russian president Viktor Yanukovych, prompting Russia to invade and annex the Crimean peninsula. By the start of April, Pavel Durov had given his notice, with TechCrunch saying at the time that the CEO had resisted pressure to suppress pages criticizing the Russian government. Soloviev also promoted the channel in a post he shared on his own Telegram, which has 580,000 followers. The post recommended his viewers subscribe to "War on Fakes" in a time of fake news. Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores. The picture was mixed overseas. Hong Kong’s Hang Seng Index fell 1.6%, under pressure from U.S. regulatory scrutiny on New York-listed Chinese companies. Stocks were more buoyant in Europe, where Frankfurt’s DAX surged 1.4%. Also in the latest update is the ability for users to create a unique @username from the Settings page, providing others with an easy way to contact them via Search or their t.me/username link without sharing their phone number.
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