Задача. Дан равнобедренный треугольник 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶). Пусть 𝑋 — произвольная точка прямой 𝐵𝐶, не совпадающая с 𝐵 и 𝐶. Точки 𝑃 и 𝑄 — проекции 𝑋 на 𝐴𝐵 и 𝐴𝐶 соответственно. Докажите, что описанные окружности треугольников 𝐴𝐵𝑄 и 𝐴𝐶𝑃 пересекаются на прямой 𝐴𝑋.
Задача. Дан равнобедренный треугольник 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶). Пусть 𝑋 — произвольная точка прямой 𝐵𝐶, не совпадающая с 𝐵 и 𝐶. Точки 𝑃 и 𝑄 — проекции 𝑋 на 𝐴𝐵 и 𝐴𝐶 соответственно. Докажите, что описанные окружности треугольников 𝐴𝐵𝑄 и 𝐴𝐶𝑃 пересекаются на прямой 𝐴𝑋.
Telegram Messenger Blocks Navalny Bot During Russian Election Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm. Such instructions could actually endanger people — citizens receive air strike warnings via smartphone alerts. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts.
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