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Задача 58: Автор - Роман Прозоров Источник MGO 2024, задача 6
Внутри треугольника ABC отмечена точка P. Оказалось, что прямая, содержащая три внешних центра гомотетии пар вписанных в треугольники ABP, BCP, CPA окружности проходит через вершину ABC. Доказать, что существует прямая, касающаяся окружностей, вписанных треугольники ABP, BCP, CPA.
Задача 58: Автор - Роман Прозоров Источник MGO 2024, задача 6
Внутри треугольника ABC отмечена точка P. Оказалось, что прямая, содержащая три внешних центра гомотетии пар вписанных в треугольники ABP, BCP, CPA окружности проходит через вершину ABC. Доказать, что существует прямая, касающаяся окружностей, вписанных треугольники ABP, BCP, CPA.
Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes. 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." As a result, the pandemic saw many newcomers to Telegram, including prominent anti-vaccine activists who used the app's hands-off approach to share false information on shots, a study from the Institute for Strategic Dialogue shows. Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. Andrey, a Russian entrepreneur living in Brazil who, fearing retaliation, asked that NPR not use his last name, said Telegram has become one of the few places Russians can access independent news about the war.
from nl
