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Задача 48:
Автор - Чуев Савва

Обобщение одного известного факта про точку Болтая...

Четырёхугольник ABCD вписан в окружность с центром O. E - точка пересечения его диагоналей, F - точка пересечения продолжений сторон AB и CD, Б - проекция Ο на EF. На сторонах AB и CD, как на основаниях, во внешнюю сторону построены подобные равнобедренные треугольники ABX и CDY. Докажите, что точки O, Б, X, Y лежат на одной окружности.



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Задача 48:
Автор - Чуев Савва

Обобщение одного известного факта про точку Болтая...

Четырёхугольник ABCD вписан в окружность с центром O. E - точка пересечения его диагоналей, F - точка пересечения продолжений сторон AB и CD, Б - проекция Ο на EF. На сторонах AB и CD, как на основаниях, во внешнюю сторону построены подобные равнобедренные треугольники ABX и CDY. Докажите, что точки O, Б, X, Y лежат на одной окружности.

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Such instructions could actually endanger people — citizens receive air strike warnings via smartphone alerts. READ MORE The company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform. Official government accounts have also spread fake fact checks. An official Twitter account for the Russia diplomatic mission in Geneva shared a fake debunking video claiming without evidence that "Western and Ukrainian media are creating thousands of fake news on Russia every day." The video, which has amassed almost 30,000 views, offered a "how-to" spot misinformation. The next bit isn’t clear, but Durov reportedly claimed that his resignation, dated March 21st, was an April Fools’ prank. TechCrunch implies that it was a matter of principle, but it’s hard to be clear on the wheres, whos and whys. Similarly, on April 17th, the Moscow Times quoted Durov as saying that he quit the company after being pressured to reveal account details about Ukrainians protesting the then-president Viktor Yanukovych.
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