Задача. Дан угол с вершиной 𝑂 и окружность, касающаяся его сторон в точках 𝐴 и 𝐵. Из точки 𝐴 проведен луч, параллельный 𝑂𝐵. Он пересекается с окружностью в точке 𝐶. Отрезок 𝑂𝐶 пересекает окружность в точке 𝐸. Прямые 𝐴𝐸 и 𝑂𝐵 пересекаются в точке 𝐾. Докажите, что 𝑂𝐾 = 𝐾𝐵.
Задача. Дан угол с вершиной 𝑂 и окружность, касающаяся его сторон в точках 𝐴 и 𝐵. Из точки 𝐴 проведен луч, параллельный 𝑂𝐵. Он пересекается с окружностью в точке 𝐶. Отрезок 𝑂𝐶 пересекает окружность в точке 𝐸. Прямые 𝐴𝐸 и 𝑂𝐵 пересекаются в точке 𝐾. Докажите, что 𝑂𝐾 = 𝐾𝐵.
The Security Service of Ukraine said in a tweet that it was able to effectively target Russian convoys near Kyiv because of messages sent to an official Telegram bot account called "STOP Russian War." In a statement, the regulator said the search and seizure operation was carried out against seven individuals and one corporate entity at multiple locations in Ahmedabad and Bhavnagar in Gujarat, Neemuch in Madhya Pradesh, Delhi, and Mumbai. "Markets were cheering this economic recovery and return to strong economic growth, but the cheers will turn to tears if the inflation outbreak pushes businesses and consumers to the brink of recession," he added. Elsewhere, version 8.6 of Telegram integrates the in-app camera option into the gallery, while a new navigation bar gives quick access to photos, files, location sharing, and more. At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion.
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