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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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Asked about its stance on disinformation, Telegram spokesperson Remi Vaughn told AFP: "As noted by our CEO, the sheer volume of information being shared on channels makes it extremely difficult to verify, so it's important that users double-check what they read." Oh no. There’s a certain degree of myth-making around what exactly went on, so take everything that follows lightly. Telegram was originally launched as a side project by the Durov brothers, with Nikolai handling the coding and Pavel as CEO, while both were at VK. Telegram users are able to send files of any type up to 2GB each and access them from any device, with no limit on cloud storage, which has made downloading files more popular on the platform. He said that since his platform does not have the capacity to check all channels, it may restrict some in Russia and Ukraine "for the duration of the conflict," but then reversed course hours later after many users complained that Telegram was an important source of information. It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists."
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