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Заметил такой фактик в etc. Решается в пару строк, но красиво.


Пусть вписанная окружность треугольника ABC касается BC в точке D. D' - сииметричная D относительно OI. Доказать, что D' и точка фейербаха на изогоналях из вершины A.

Upd: это оказывается уже было в олимпиадной геометрии
https://www.group-telegram.com/olympgeom/1191
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group-telegram.com/zadacha_dna/384
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Заметил такой фактик в etc. Решается в пару строк, но красиво.


Пусть вписанная окружность треугольника ABC касается BC в точке D. D' - сииметричная D относительно OI. Доказать, что D' и точка фейербаха на изогоналях из вершины A.

Upd: это оказывается уже было в олимпиадной геометрии
https://www.group-telegram.com/olympgeom/1191

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Russians and Ukrainians are both prolific users of Telegram. They rely on the app for channels that act as newsfeeds, group chats (both public and private), and one-to-one communication. Since the Russian invasion of Ukraine, Telegram has remained an important lifeline for both Russians and Ukrainians, as a way of staying aware of the latest news and keeping in touch with loved ones. The perpetrators use various names to carry out the investment scams. They may also impersonate or clone licensed capital market intermediaries by using the names, logos, credentials, websites and other details of the legitimate entities to promote the illegal schemes. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea. At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion.
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