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.
This ability to mix the public and the private, as well as the ability to use bots to engage with users has proved to be problematic. In early 2021, a database selling phone numbers pulled from Facebook was selling numbers for $20 per lookup. Similarly, security researchers found a network of deepfake bots on the platform that were generating images of people submitted by users to create non-consensual imagery, some of which involved children. 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. The War on Fakes channel has repeatedly attempted to push conspiracies that footage from Ukraine is somehow being falsified. One post on the channel from February 24 claimed without evidence that a widely viewed photo of a Ukrainian woman injured in an airstrike in the city of Chuhuiv was doctored and that the woman was seen in a different photo days later without injuries. The post, which has over 600,000 views, also baselessly claimed that the woman's blood was actually makeup or grape juice. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so.
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