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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).



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Задача 45:
Автор - GeoGen, Ким Пётр

В треугольнике ABC I - центр вписанной окружности, а D - её точка касания со стороной  BC. Отражение D относительно середины BC - точка E. A' - диаметрально противоположная точке A на окружности (ABC). G - проекция D на прямую через A' параллельную BC.
Докажите, что (DEG) касается (ABC).

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The news also helped traders look past another report showing decades-high inflation and shake off some of the volatility from recent sessions. The Bureau of Labor Statistics' February Consumer Price Index (CPI) this week showed another surge in prices even before Russia escalated its attacks in Ukraine. The headline CPI — soaring 7.9% over last year — underscored the sticky inflationary pressures reverberating across the U.S. economy, with everything from groceries to rents and airline fares getting more expensive for everyday consumers. The channel appears to be part of the broader information war that has developed following Russia's invasion of Ukraine. The Kremlin has paid Russian TikTok influencers to push propaganda, according to a Vice News investigation, while ProPublica found that fake Russian fact check videos had been viewed over a million times on Telegram. And indeed, volatility has been a hallmark of the market environment so far in 2022, with the S&P 500 still down more than 10% for the year-to-date after first sliding into a correction last month. The CBOE Volatility Index, or VIX, has held at a lofty level of more than 30. "And that set off kind of a battle royale for control of the platform that Durov eventually lost," said Nathalie Maréchal of the Washington advocacy group Ranking Digital Rights. Stocks dropped on Friday afternoon, as gains made earlier in the day on hopes for diplomatic progress between Russia and Ukraine turned to losses. Technology stocks were hit particularly hard by higher bond yields.
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