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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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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. Investors took profits on Friday while they could ahead of the weekend, explained Tom Essaye, founder of Sevens Report Research. Saturday and Sunday could easily bring unfortunate news on the war front—and traders would rather be able to sell any recent winnings at Friday’s earlier prices than wait for a potentially lower price at Monday’s open. Again, in contrast to Facebook, Google and Twitter, Telegram's founder Pavel Durov runs his company in relative secrecy from Dubai. 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. "He has to start being more proactive and to find a real solution to this situation, not stay in standby without interfering. It's a very irresponsible position from the owner of Telegram," she said.
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