Задача 55: Автор - Ким Пётр Источник: MGO 2024, задача 3
Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD). Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.
Задача 55: Автор - Ким Пётр Источник: MGO 2024, задача 3
Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD). Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.
One thing that Telegram now offers to all users is the ability to “disappear” messages or set remote deletion deadlines. That enables users to have much more control over how long people can access what you’re sending them. Given that Russian law enforcement officials are reportedly (via Insider) stopping people in the street and demanding to read their text messages, this could be vital to protect individuals from reprisals. The SC urges the public to refer to the SC’s I nvestor Alert List before investing. The list contains details of unauthorised websites, investment products, companies and individuals. Members of the public who suspect that they have been approached by unauthorised firms or individuals offering schemes that promise unrealistic returns 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. But because group chats and the channel features are not end-to-end encrypted, Galperin said user privacy is potentially under threat. "The result is on this photo: fiery 'greetings' to the invaders," the Security Service of Ukraine wrote alongside a photo showing several military vehicles among plumes of black smoke.
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