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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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The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. Right now the digital security needs of Russians and Ukrainians are very different, and they lead to very different caveats about how to mitigate the risks associated with using Telegram. For Ukrainians in Ukraine, whose physical safety is at risk because they are in a war zone, digital security is probably not their highest priority. They may value access to news and communication with their loved ones over making sure that all of their communications are encrypted in such a manner that they are indecipherable to Telegram, its employees, or governments with court orders. And while money initially moved into stocks in the morning, capital moved out of safe-haven assets. The price of the 10-year Treasury note fell Friday, sending its yield up to 2% from a March closing low of 1.73%. Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. Individual messages can be fully encrypted. But the user has to turn on that function. It's not automatic, as it is on Signal and WhatsApp.
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