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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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"We're seeing really dramatic moves, and it's all really tied to Ukraine right now, and in a secondary way, in terms of interest rates," Octavio Marenzi, CEO of Opimas, told Yahoo Finance Live on Thursday. "This war in Ukraine is going to give the Fed the ammunition, the cover that it needs, to not raise interest rates too quickly. And I think Jay Powell is a very tepid sort of inflation fighter and he's not going to do as much as he needs to do to get that under control. And this seems like an excuse to kick the can further down the road still and not do too much too soon." 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. "The result is on this photo: fiery 'greetings' to the invaders," the Security Service of Ukraine wrote alongside a photo showing several military vehicles among plumes of black smoke. "Markets were cheering this economic recovery and return to strong economic growth, but the cheers will turn to tears if the inflation outbreak pushes businesses and consumers to the brink of recession," he added. Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform.
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