Через центр O описанной окружности треугольника ABC проведена прямая, пересекающая стороны AB, BC и CA в точках F, D и E соответственно. Докажите, что окружности, построенные на AD, BE и CF как на диаметрах пересекаются в двух точках, одна из которых лежит на описанной окружности треугольника ABC, а вторая на окружности девяти точек.
Через центр O описанной окружности треугольника ABC проведена прямая, пересекающая стороны AB, BC и CA в точках F, D и E соответственно. Докажите, что окружности, построенные на AD, BE и CF как на диаметрах пересекаются в двух точках, одна из которых лежит на описанной окружности треугольника ABC, а вторая на окружности девяти точек.
As the war in Ukraine rages, the messaging app Telegram has emerged as the go-to place for unfiltered live war updates for both Ukrainian refugees and increasingly isolated Russians alike. Elsewhere, version 8.6 of Telegram integrates the in-app camera option into the gallery, while a new navigation bar gives quick access to photos, files, location sharing, and more. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation. Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. "He has to start being more proactive and to find a real solution to this situation, not stay in standby without interfering. It's a very irresponsible position from the owner of Telegram," she said.
from pl
