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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

BY Геометрия-канал


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DFR Lab sent the image through Microsoft Azure's Face Verification program and found that it was "highly unlikely" that the person in the second photo was the same as the first woman. The fact-checker Logically AI also found the claim to be false. The woman, Olena Kurilo, was also captured in a video after the airstrike and shown to have the injuries. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm. Perpetrators of these scams will create a public group on Telegram to promote these investment packages that are usually accompanied by fake testimonies and sometimes advertised as being Shariah-compliant. Interested investors will be asked to directly message the representatives to begin investing in the various investment packages offered. The last couple days have exemplified that uncertainty. On Thursday, news emerged that talks in Turkey between the Russia and Ukraine yielded no positive result. But on Friday, Reuters reported that Russian President Vladimir Putin said there had been some “positive shifts” in talks between the two sides. Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram.
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