Нехай 𝐴𝐵𝐶𝐷𝐸𝐹 — вписаний шестикутник, причому 𝐴𝐷||𝐸𝐹. На діагоналях 𝐴𝐸 та 𝐷𝐹 відмітили точки 𝑋 та 𝑌 відповідно так, що 𝐶𝑋 = 𝐸𝑋 та 𝐵𝑌 = 𝐹𝑌. Нехай 𝑂 — точка перетину 𝐴𝐸 та 𝐹𝐷, 𝑃 — точка перетину 𝐶𝑋 та 𝐵𝑌, 𝑄 — точка перетину 𝐵𝐹 та 𝐶𝐸. Доведіть, що точки 𝑂, 𝑃, 𝑄 лежать на одній прямій.
Нехай 𝐴𝐵𝐶𝐷𝐸𝐹 — вписаний шестикутник, причому 𝐴𝐷||𝐸𝐹. На діагоналях 𝐴𝐸 та 𝐷𝐹 відмітили точки 𝑋 та 𝑌 відповідно так, що 𝐶𝑋 = 𝐸𝑋 та 𝐵𝑌 = 𝐹𝑌. Нехай 𝑂 — точка перетину 𝐴𝐸 та 𝐹𝐷, 𝑃 — точка перетину 𝐶𝑋 та 𝐵𝑌, 𝑄 — точка перетину 𝐵𝐹 та 𝐶𝐸. Доведіть, що точки 𝑂, 𝑃, 𝑄 лежать на одній прямій.
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. Ukrainian forces successfully attacked Russian vehicles in the capital city of Kyiv thanks to a public tip made through the encrypted messaging app Telegram, Ukraine's top law-enforcement agency said on Tuesday. Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.” But because group chats and the channel features are not end-to-end encrypted, Galperin said user privacy is potentially under threat. The gold standard of encryption, known as end-to-end encryption, where only the sender and person who receives the message are able to see it, is available on Telegram only when the Secret Chat function is enabled. Voice and video calls are also completely encrypted.
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