Сьогодні на останньому турі відборів на RMM була така симпатична задачка, пропонуємо трішки відпочити від комбгеому та порозв'язувати її)
На стороні АС трикутника АВС обрали дві різні точки P та Q такі, що AP⋅AQ = BP⋅BQ = CP⋅CQ. Доведіть, що описане коло трикутника BPQ проходить через центр описаного кола трикутника АВС.
Сьогодні на останньому турі відборів на RMM була така симпатична задачка, пропонуємо трішки відпочити від комбгеому та порозв'язувати її)
На стороні АС трикутника АВС обрали дві різні точки P та Q такі, що AP⋅AQ = BP⋅BQ = CP⋅CQ. Доведіть, що описане коло трикутника BPQ проходить через центр описаного кола трикутника АВС.
Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform. Again, in contrast to Facebook, Google and Twitter, Telegram's founder Pavel Durov runs his company in relative secrecy from Dubai. 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 company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform. Official government accounts have also spread fake fact checks. An official Twitter account for the Russia diplomatic mission in Geneva shared a fake debunking video claiming without evidence that "Western and Ukrainian media are creating thousands of fake news on Russia every day." The video, which has amassed almost 30,000 views, offered a "how-to" spot misinformation.
from ca
