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а) Пусть 4 окружности на плоскости касаются друг друга по циклу (внешним образом). Доказать, что точки касания лежат на одной окружности.

б) То же не на плоскости, а на сфере.

в) Вывести отсюда предыдущую задачу.

// по мотивам обсуждения в комментариях



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а) Пусть 4 окружности на плоскости касаются друг друга по циклу (внешним образом). Доказать, что точки касания лежат на одной окружности.

б) То же не на плоскости, а на сфере.

в) Вывести отсюда предыдущую задачу.

// по мотивам обсуждения в комментариях

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Telegram | DID YOU KNOW?

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For Oleksandra Tsekhanovska, head of the Hybrid Warfare Analytical Group at the Kyiv-based Ukraine Crisis Media Center, the effects are both near- and far-reaching. At the start of 2018, the company attempted to launch an Initial Coin Offering (ICO) which would enable it to enable payments (and earn the cash that comes from doing so). The initial signals were promising, especially given Telegram’s user base is already fairly crypto-savvy. It raised an initial tranche of cash – worth more than a billion dollars – to help develop the coin before opening sales to the public. Unfortunately, third-party sales of coins bought in those initial fundraising rounds raised the ire of the SEC, which brought the hammer down on the whole operation. In 2020, officials ordered Telegram to pay a fine of $18.5 million and hand back much of the cash that it had raised. In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so. "Like the bombing of the maternity ward in Mariupol," he said, "Even before it hits the news, you see the videos on the Telegram channels." WhatsApp, a rival messaging platform, introduced some measures to counter disinformation when Covid-19 was first sweeping the world.
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