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 📚
Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform. Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. In the past, it was noticed that through bulk SMSes, investors were induced to invest in or purchase the stocks of certain listed companies. Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. 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.
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