Нехай 𝑀 — середина сторони 𝐵𝐶 трикутника 𝐴𝐵𝐶, 𝐷 — довільна точка на дузі 𝐵𝐶 описаного кола, яка не містить точку 𝐴, 𝑁 — середина 𝐴𝐷. Коло, яке проходить через точки 𝐴, 𝑁 і дотикається до 𝐴𝐵, перетинає сторону 𝐴𝐶 у точці 𝐸. Доведіть, шо точки 𝐶, 𝐷, 𝐸 та 𝑀 лежать на одному колі.
Нехай 𝑀 — середина сторони 𝐵𝐶 трикутника 𝐴𝐵𝐶, 𝐷 — довільна точка на дузі 𝐵𝐶 описаного кола, яка не містить точку 𝐴, 𝑁 — середина 𝐴𝐷. Коло, яке проходить через точки 𝐴, 𝑁 і дотикається до 𝐴𝐵, перетинає сторону 𝐴𝐶 у точці 𝐸. Доведіть, шо точки 𝐶, 𝐷, 𝐸 та 𝑀 лежать на одному колі.
"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. "The inflation fire was already hot and now with war-driven inflation added to the mix, it will grow even hotter, setting off a scramble by the world’s central banks to pull back their stimulus earlier than expected," Chris Rupkey, chief economist at FWDBONDS, wrote in an email. "A spike in inflation rates has preceded economic recessions historically and this time prices have soared to levels that once again pose a threat to growth." The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. "He has kind of an old-school cyber-libertarian world view where technology is there to set you free," Maréchal said. Recently, Durav wrote on his Telegram channel that users' right to privacy, in light of the war in Ukraine, is "sacred, now more than ever."
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