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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).



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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).

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The Securities and Exchange Board of India (Sebi) had carried out a similar exercise in 2017 in a matter related to circulation of messages through WhatsApp. The account, "War on Fakes," was created on February 24, the same day Russian President Vladimir Putin announced a "special military operation" and troops began invading Ukraine. The page is rife with disinformation, according to The Atlantic Council's Digital Forensic Research Lab, which studies digital extremism and published a report examining the channel. Despite Telegram's origins, its approach to users' security has privacy advocates worried. This ability to mix the public and the private, as well as the ability to use bots to engage with users has proved to be problematic. In early 2021, a database selling phone numbers pulled from Facebook was selling numbers for $20 per lookup. Similarly, security researchers found a network of deepfake bots on the platform that were generating images of people submitted by users to create non-consensual imagery, some of which involved children. One thing that Telegram now offers to all users is the ability to “disappear” messages or set remote deletion deadlines. That enables users to have much more control over how long people can access what you’re sending them. Given that Russian law enforcement officials are reportedly (via Insider) stopping people in the street and demanding to read their text messages, this could be vital to protect individuals from reprisals.
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