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YGO 2024, 8 клас, Задача 2.

Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл трикутника 𝐴𝐵𝐶. Точки 𝑃 та 𝑄 такі, що 𝐴𝐼𝑂𝑃 та 𝐵𝐼𝑂𝑄 — рівнобічні трапеції (𝐴𝐼||𝑂𝑃, 𝐵𝐼||𝑂𝑄). Доведіть, що 𝐶𝑃 = 𝐶𝑄.

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YGO 2024, 8 клас, Задача 2.

Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл трикутника 𝐴𝐵𝐶. Точки 𝑃 та 𝑄 такі, що 𝐴𝐼𝑂𝑃 та 𝐵𝐼𝑂𝑄 — рівнобічні трапеції (𝐴𝐼||𝑂𝑃, 𝐵𝐼||𝑂𝑄). Доведіть, що 𝐶𝑃 = 𝐶𝑄.

Володимир Брайман

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The regulator said it had received information that messages containing stock tips and other investment advice with respect to selected listed companies are being widely circulated through websites and social media platforms such as Telegram, Facebook, WhatsApp and Instagram. "There is a significant risk of insider threat or hacking of Telegram systems that could expose all of these chats to the Russian government," said Eva Galperin with the Electronic Frontier Foundation, which has called for Telegram to improve its privacy practices. "This time we received the coordinates of enemy vehicles marked 'V' in Kyiv region," it added. Some privacy experts say Telegram is not secure enough "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.
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