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скучні задачі
задача від @mamonovclhgffkuffhj (!) існує коло що дотикається до описаного і гіперболи жерабека і проходить через ортоцентр і центр описаного кола
ну і ось лема за тим же авторством, яку я згадав в коментарях.
сині точки P, Q ізогональні. через них і вершини проведено коніку (ABCPQ), точка перетину U якої з описаним колом (ABC), що відрізняється від вершин. через U провели довільну пряму, яка перетинає (ABC) в R і (ABCPQ) в S.

(!) доведіть вписаність чотирикутника PQRS



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ну і ось лема за тим же авторством, яку я згадав в коментарях.
сині точки P, Q ізогональні. через них і вершини проведено коніку (ABCPQ), точка перетину U якої з описаним колом (ABC), що відрізняється від вершин. через U провели довільну пряму, яка перетинає (ABC) в R і (ABCPQ) в S.

(!) доведіть вписаність чотирикутника PQRS

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Markets continued to grapple with the economic and corporate earnings implications relating to the Russia-Ukraine conflict. “We have a ton of uncertainty right now,” said Stephanie Link, chief investment strategist and portfolio manager at Hightower Advisors. “We’re dealing with a war, we’re dealing with inflation. We don’t know what it means to earnings.” 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. 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. A Russian Telegram channel with over 700,000 followers is spreading disinformation about Russia's invasion of Ukraine under the guise of providing "objective information" and fact-checking fake news. Its influence extends beyond the platform, with major Russian publications, government officials, and journalists citing the page's posts. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips.
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Telegram скучні задачі
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