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#геом_разминка

Задача. В треугольнике 𝐴𝐵𝐶 через вершину 𝐴 проведена прямая 𝑙, параллельная 𝐵𝐶. Биссектрисы внешних углов треугольника при вершинах 𝐵 и 𝐶 пересекают прямую 𝑙 в точках 𝑃 и 𝑄 соответственно. Перпендикуляр к 𝐵𝑃, восставленный в точке 𝑃, и перпендикуляр к 𝐶𝑄, восставленный в точке 𝑄, пересекаются в точке 𝑅. Пусть 𝐼 – точка пересечения биссектрис треугольника 𝐴𝐵𝐶. Докажите, что 𝐴𝐼 = 𝐴𝑅.

Передаем привет вам из замурчательного Стамбула 🇹🇷🐈



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#геом_разминка

Задача. В треугольнике 𝐴𝐵𝐶 через вершину 𝐴 проведена прямая 𝑙, параллельная 𝐵𝐶. Биссектрисы внешних углов треугольника при вершинах 𝐵 и 𝐶 пересекают прямую 𝑙 в точках 𝑃 и 𝑄 соответственно. Перпендикуляр к 𝐵𝑃, восставленный в точке 𝑃, и перпендикуляр к 𝐶𝑄, восставленный в точке 𝑄, пересекаются в точке 𝑅. Пусть 𝐼 – точка пересечения биссектрис треугольника 𝐴𝐵𝐶. Докажите, что 𝐴𝐼 = 𝐴𝑅.

Передаем привет вам из замурчательного Стамбула 🇹🇷🐈

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Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. Given the pro-privacy stance of the platform, it’s taken as a given that it’ll be used for a number of reasons, not all of them good. And Telegram has been attached to a fair few scandals related to terrorism, sexual exploitation and crime. Back in 2015, Vox described Telegram as “ISIS’ app of choice,” saying that the platform’s real use is the ability to use channels to distribute material to large groups at once. Telegram has acted to remove public channels affiliated with terrorism, but Pavel Durov reiterated that he had no business snooping on private conversations. As a result, the pandemic saw many newcomers to Telegram, including prominent anti-vaccine activists who used the app's hands-off approach to share false information on shots, a study from the Institute for Strategic Dialogue shows. You may recall that, back when Facebook started changing WhatsApp’s terms of service, a number of news outlets reported on, and even recommended, switching to Telegram. Pavel Durov even said that users should delete WhatsApp “unless you are cool with all of your photos and messages becoming public one day.” But Telegram can’t be described as a more-secure version of WhatsApp. This provided opportunity to their linked entities to offload their shares at higher prices and make significant profits at the cost of unsuspecting retail investors.
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