Задача 55: Автор - Ким Пётр Источник: MGO 2024, задача 3
Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD). Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.
Задача 55: Автор - Ким Пётр Источник: MGO 2024, задача 3
Пусть ABCD - вписанный четырёхугольник. Пусть w1 и w2 - две окружности, проходящие через A, B и C, D соответственно и пересекающиеся вне окружности (ABCD). Доказать, что если существует окружность, касающаяся AB, CD, w1, w2,то существует окружность или прямая, касающаяся BC, AD, w1, w2.
During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. 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. 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. In February 2014, the Ukrainian people ousted pro-Russian president Viktor Yanukovych, prompting Russia to invade and annex the Crimean peninsula. By the start of April, Pavel Durov had given his notice, with TechCrunch saying at the time that the CEO had resisted pressure to suppress pages criticizing the Russian government. "There are several million Russians who can lift their head up from propaganda and try to look for other sources, and I'd say that most look for it on Telegram," he said.
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