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Задача 60:
Автор - GeoGen, Пётр Ким

В выпуклом четырёхугольнике ABCD E - точка пересечения диагоналей. F - точка пересечения лучей AB и DC. Точка X - E-точка Шалтая треугольника AED, а точка Y - E-точка Шалтая треугольника BEC.
Доказать, что (XEY) касается FE.



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Задача 60:
Автор - GeoGen, Пётр Ким

В выпуклом четырёхугольнике ABCD E - точка пересечения диагоналей. F - точка пересечения лучей AB и DC. Точка X - E-точка Шалтая треугольника AED, а точка Y - E-точка Шалтая треугольника BEC.
Доказать, что (XEY) касается FE.

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The regulator said it had received information that messages containing stock tips and other investment advice with respect to selected listed companies are being widely circulated through websites and social media platforms such as Telegram, Facebook, WhatsApp and Instagram. Unlike Silicon Valley giants such as Facebook and Twitter, which run very public anti-disinformation programs, Brooking said: "Telegram is famously lax or absent in its content moderation policy." On December 23rd, 2020, Pavel Durov posted to his channel that the company would need to start generating revenue. In early 2021, he added that any advertising on the platform would not use user data for targeting, and that it would be focused on “large one-to-many channels.” He pledged that ads would be “non-intrusive” and that most users would simply not notice any change. 'Wild West' Continuing its crackdown against entities allegedly involved in a front-running scam using messaging app Telegram, Sebi on Thursday carried out search and seizure operations at the premises of eight entities in multiple locations across the country.
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