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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.

BY NeuroGeometry




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The War on Fakes channel has repeatedly attempted to push conspiracies that footage from Ukraine is somehow being falsified. One post on the channel from February 24 claimed without evidence that a widely viewed photo of a Ukrainian woman injured in an airstrike in the city of Chuhuiv was doctored and that the woman was seen in a different photo days later without injuries. The post, which has over 600,000 views, also baselessly claimed that the woman's blood was actually makeup or grape juice. Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. These entities are reportedly operating nine Telegram channels with more than five million subscribers to whom they were making recommendations on selected listed scrips. Such recommendations induced the investors to deal in the said scrips, thereby creating artificial volume and price rise. 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. 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.
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