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.
Founder Pavel Durov says tech is meant to set you free "And that set off kind of a battle royale for control of the platform that Durov eventually lost," said Nathalie Maréchal of the Washington advocacy group Ranking Digital Rights. Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours. "The result is on this photo: fiery 'greetings' to the invaders," the Security Service of Ukraine wrote alongside a photo showing several military vehicles among plumes of black smoke. 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.”
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