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Сьогодні на останньому турі відборів на RMM була така симпатична задачка, пропонуємо трішки відпочити від комбгеому та порозв'язувати її)

На стороні АС трикутника АВС обрали дві різні точки P та Q такі, що AP⋅AQ = BP⋅BQ = CP⋅CQ. Доведіть, що описане коло трикутника BPQ проходить через центр описаного кола трикутника АВС.

Антон Тригуб



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Сьогодні на останньому турі відборів на RMM була така симпатична задачка, пропонуємо трішки відпочити від комбгеому та порозв'язувати її)

На стороні АС трикутника АВС обрали дві різні точки P та Q такі, що AP⋅AQ = BP⋅BQ = CP⋅CQ. Доведіть, що описане коло трикутника BPQ проходить через центр описаного кола трикутника АВС.

Антон Тригуб

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Elsewhere, version 8.6 of Telegram integrates the in-app camera option into the gallery, while a new navigation bar gives quick access to photos, files, location sharing, and more. These administrators had built substantial positions in these scrips prior to the circulation of recommendations and offloaded their positions subsequent to rise in price of these scrips, making significant profits at the expense of unsuspecting investors, Sebi noted. "Russians are really disconnected from the reality of what happening to their country," Andrey said. "So Telegram has become essential for understanding what's going on to the Russian-speaking world." Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm.
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