Еще одна задача с колма. Без картинки. Дан вписанный пятиугольник P1P2P3P4P5; положим P6 = P1 и P0 = P5. При k = 1, 2, 3, 4, 5 обозначим через Ik центр вписанной окружности треугольника Pk−1PkPk+1. Оказалось, что пяти- угольник I1I2I3I4I5 также является вписанным. Докажите, что прямые P1I1, P2I2, P3I3, P4I4 и P5I5 пересекаются в одной точке.
Еще одна задача с колма. Без картинки. Дан вписанный пятиугольник P1P2P3P4P5; положим P6 = P1 и P0 = P5. При k = 1, 2, 3, 4, 5 обозначим через Ik центр вписанной окружности треугольника Pk−1PkPk+1. Оказалось, что пяти- угольник I1I2I3I4I5 также является вписанным. Докажите, что прямые P1I1, P2I2, P3I3, P4I4 и P5I5 пересекаются в одной точке.
BY Геометрия-канал
Warning: Undefined variable $i in /var/www/group-telegram/post.php on line 260
In February 2014, the Ukrainian people ousted pro-Russian president Viktor Yanukovych, prompting Russia to invade and annex the Crimean peninsula. By the start of April, Pavel Durov had given his notice, with TechCrunch saying at the time that the CEO had resisted pressure to suppress pages criticizing the Russian government. Telegram was founded in 2013 by two Russian brothers, Nikolai and Pavel Durov. Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours. But Telegram says people want to keep their chat history when they get a new phone, and they like having a data backup that will sync their chats across multiple devices. And that is why they let people choose whether they want their messages to be encrypted or not. When not turned on, though, chats are stored on Telegram's services, which are scattered throughout the world. But it has "disclosed 0 bytes of user data to third parties, including governments," Telegram states on its website. In addition, Telegram's architecture limits the ability to slow the spread of false information: the lack of a central public feed, and the fact that comments are easily disabled in channels, reduce the space for public pushback.
from pl
