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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.



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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.

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On Feb. 27, however, he admitted from his Russian-language account that "Telegram channels are increasingly becoming a source of unverified information related to Ukrainian events." "There are several million Russians who can lift their head up from propaganda and try to look for other sources, and I'd say that most look for it on Telegram," he said. It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists." "Markets were cheering this economic recovery and return to strong economic growth, but the cheers will turn to tears if the inflation outbreak pushes businesses and consumers to the brink of recession," he added. 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.
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