Обобщение одного известного факта про точку Болтая...
Четырёхугольник ABCD вписан в окружность с центром O. E - точка пересечения его диагоналей, F - точка пересечения продолжений сторон AB и CD, Б - проекция Ο на EF. На сторонах AB и CD, как на основаниях, во внешнюю сторону построены подобные равнобедренные треугольники ABX и CDY. Докажите, что точки O, Б, X, Y лежат на одной окружности.
Обобщение одного известного факта про точку Болтая...
Четырёхугольник ABCD вписан в окружность с центром O. E - точка пересечения его диагоналей, F - точка пересечения продолжений сторон AB и CD, Б - проекция Ο на EF. На сторонах AB и CD, как на основаниях, во внешнюю сторону построены подобные равнобедренные треугольники ABX и CDY. Докажите, что точки O, Б, X, Y лежат на одной окружности.
Ukrainian forces successfully attacked Russian vehicles in the capital city of Kyiv thanks to a public tip made through the encrypted messaging app Telegram, Ukraine's top law-enforcement agency said on Tuesday. To that end, when files are actively downloading, a new icon now appears in the Search bar that users can tap to view and manage downloads, pause and resume all downloads or just individual items, and select one to increase its priority or view it in a chat. False news often spreads via public groups, or chats, with potentially fatal effects. "The inflation fire was already hot and now with war-driven inflation added to the mix, it will grow even hotter, setting off a scramble by the world’s central banks to pull back their stimulus earlier than expected," Chris Rupkey, chief economist at FWDBONDS, wrote in an email. "A spike in inflation rates has preceded economic recessions historically and this time prices have soared to levels that once again pose a threat to growth." Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours.
from sg