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
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Either way, Durov says that he withdrew his resignation but that he was ousted from his company anyway. Subsequently, control of the company was reportedly handed to oligarchs Alisher Usmanov and Igor Sechin, both allegedly close associates of Russian leader Vladimir Putin. The channel appears to be part of the broader information war that has developed following Russia's invasion of Ukraine. The Kremlin has paid Russian TikTok influencers to push propaganda, according to a Vice News investigation, while ProPublica found that fake Russian fact check videos had been viewed over a million times on Telegram. Perpetrators of such fraud use various marketing techniques to attract subscribers on their social media channels. At the start of 2018, the company attempted to launch an Initial Coin Offering (ICO) which would enable it to enable payments (and earn the cash that comes from doing so). The initial signals were promising, especially given Telegram’s user base is already fairly crypto-savvy. It raised an initial tranche of cash – worth more than a billion dollars – to help develop the coin before opening sales to the public. Unfortunately, third-party sales of coins bought in those initial fundraising rounds raised the ire of the SEC, which brought the hammer down on the whole operation. In 2020, officials ordered Telegram to pay a fine of $18.5 million and hand back much of the cash that it had raised. "Russians are really disconnected from the reality of what happening to their country," Andrey said. "So Telegram has become essential for understanding what's going on to the Russian-speaking world."
from tw