Задача. Окружности 𝑠₁ и 𝑠₂ касаются внешним образом. Их линия центров пересекает 𝑠₁ в точках 𝐴 и 𝑃, и пересекает 𝑠₂ в точках 𝐵 и 𝑃. Общая внешняя касательная касается 𝑠₁ и 𝑠₂ в точках 𝐴₁ и 𝐵₁ соответственно. Прямые 𝐴𝐴₁ и 𝐵𝐵₁ пересекаются в точке 𝑄. Докажите, что 𝑃𝑄 является общей касательной для 𝑠₁ и 𝑠₂.
Желаем вам больше приятных задач по геометрии и не только 📚
Задача. Окружности 𝑠₁ и 𝑠₂ касаются внешним образом. Их линия центров пересекает 𝑠₁ в точках 𝐴 и 𝑃, и пересекает 𝑠₂ в точках 𝐵 и 𝑃. Общая внешняя касательная касается 𝑠₁ и 𝑠₂ в точках 𝐴₁ и 𝐵₁ соответственно. Прямые 𝐴𝐴₁ и 𝐵𝐵₁ пересекаются в точке 𝑄. Докажите, что 𝑃𝑄 является общей касательной для 𝑠₁ и 𝑠₂.
Желаем вам больше приятных задач по геометрии и не только 📚
Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores. Also in the latest update is the ability for users to create a unique @username from the Settings page, providing others with an easy way to contact them via Search or their t.me/username link without sharing their phone number. 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. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. As such, the SC would like to remind investors to always exercise caution when evaluating investment opportunities, especially those promising unrealistically high returns with little or no risk. Investors should also never deposit money into someone’s personal bank account if instructed.
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