Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл прямокутного трикутника 𝐴𝐵𝐶 (∠𝐶 = 90°), 𝐾 — точка дотику вписаного кола з 𝐴𝐶, а 𝑃 та 𝑄 — точки перетину описаного кола трикутника 𝐴𝑂𝐾 з 𝑂𝐶 та з описаним колом трикутника 𝐴𝐵𝐶 відповідно. Доведіть, що точки 𝐶, 𝐼, 𝑃 та 𝑄 лежать на одному колі.
Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл прямокутного трикутника 𝐴𝐵𝐶 (∠𝐶 = 90°), 𝐾 — точка дотику вписаного кола з 𝐴𝐶, а 𝑃 та 𝑄 — точки перетину описаного кола трикутника 𝐴𝑂𝐾 з 𝑂𝐶 та з описаним колом трикутника 𝐴𝐵𝐶 відповідно. Доведіть, що точки 𝐶, 𝐼, 𝑃 та 𝑄 лежать на одному колі.
"We're seeing really dramatic moves, and it's all really tied to Ukraine right now, and in a secondary way, in terms of interest rates," Octavio Marenzi, CEO of Opimas, told Yahoo Finance Live on Thursday. "This war in Ukraine is going to give the Fed the ammunition, the cover that it needs, to not raise interest rates too quickly. And I think Jay Powell is a very tepid sort of inflation fighter and he's not going to do as much as he needs to do to get that under control. And this seems like an excuse to kick the can further down the road still and not do too much too soon." "We as Ukrainians believe that the truth is on our side, whether it's truth that you're proclaiming about the war and everything else, why would you want to hide it?," he said. Again, in contrast to Facebook, Google and Twitter, Telegram's founder Pavel Durov runs his company in relative secrecy from Dubai. 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. Given the pro-privacy stance of the platform, it’s taken as a given that it’ll be used for a number of reasons, not all of them good. And Telegram has been attached to a fair few scandals related to terrorism, sexual exploitation and crime. Back in 2015, Vox described Telegram as “ISIS’ app of choice,” saying that the platform’s real use is the ability to use channels to distribute material to large groups at once. Telegram has acted to remove public channels affiliated with terrorism, but Pavel Durov reiterated that he had no business snooping on private conversations.
from ar
