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Нехай 𝐻 – точка перетину висот, а точка 𝑂 – центр описаного кола трикутника 𝐴𝐵𝐶. Пряма 𝐴𝐻 вдруге перетинає описане коло ∆𝐴𝐵𝐶 в точці 𝑁. Описане коло ∆𝐵𝑂𝐶 з центром в точці 𝑄 вдруге перетинає пряму 𝑂𝐻 в точці 𝑋. Доведіть, що точки 𝑂,𝑄, 𝑁, 𝑋 лежать на одному колі.
Нехай 𝐻 – точка перетину висот, а точка 𝑂 – центр описаного кола трикутника 𝐴𝐵𝐶. Пряма 𝐴𝐻 вдруге перетинає описане коло ∆𝐴𝐵𝐶 в точці 𝑁. Описане коло ∆𝐵𝑂𝐶 з центром в точці 𝑄 вдруге перетинає пряму 𝑂𝐻 в точці 𝑋. Доведіть, що точки 𝑂,𝑄, 𝑁, 𝑋 лежать на одному колі.
In the past, it was noticed that through bulk SMSes, investors were induced to invest in or purchase the stocks of certain listed companies. 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. Multiple pro-Kremlin media figures circulated the post's false claims, including prominent Russian journalist Vladimir Soloviev and the state-controlled Russian outlet RT, according to the DFR Lab's report. Such instructions could actually endanger people — citizens receive air strike warnings via smartphone alerts. "For Telegram, accountability has always been a problem, which is why it was so popular even before the full-scale war with far-right extremists and terrorists from all over the world," she told AFP from her safe house outside the Ukrainian capital.
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