Очень красивая задача с командной олимпиады сеньоров с Колма, который идет прямо сейчас. Биссектрисы AA1, BB1, CC1 неравнобедренного треугольника ABC пересекаются в точке I. Впи- санная окружность треугольника ABC касается стороны BC в точке A2. Окружность ωa проходит через точки A1, A2 и середину отрезка AI. Окружности ωb и ωc определяются аналогично. Докажите, что центры окружностей ωa, ωb, ωc лежат на одной прямой.
Очень красивая задача с командной олимпиады сеньоров с Колма, который идет прямо сейчас. Биссектрисы AA1, BB1, CC1 неравнобедренного треугольника ABC пересекаются в точке I. Впи- санная окружность треугольника ABC касается стороны BC в точке A2. Окружность ωa проходит через точки A1, A2 и середину отрезка AI. Окружности ωb и ωc определяются аналогично. Докажите, что центры окружностей ωa, ωb, ωc лежат на одной прямой.
Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. Perpetrators of such fraud use various marketing techniques to attract subscribers on their social media channels. 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. Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. Telegram has gained a reputation as the “secure” communications app in the post-Soviet states, but whenever you make choices about your digital security, it’s important to start by asking yourself, “What exactly am I securing? And who am I securing it from?” These questions should inform your decisions about whether you are using the right tool or platform for your digital security needs. Telegram is certainly not the most secure messaging app on the market right now. Its security model requires users to place a great deal of trust in Telegram’s ability to protect user data. For some users, this may be good enough for now. For others, it may be wiser to move to a different platform for certain kinds of high-risk communications.
from tr
