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У окружности есть повороты, сохраняющие её центр. Чтобы поворот не унёс наше «окно наблюдения» слишком далеко, поворачивать нужно на угол порядка (1/R). Тогда в пределе получатся параболические повороты — линейные преобразования
(x,y) -> (x+t, y+tx+(t^2/2)).

Углы превратятся в параболические углы — если раньше угол наклона прямой y=kx+c можно было определить как arctg k (мы пока не задумываемся про π и знак/ориентацию), то теперь это просто k. Потому что при обратном сжатии такая прямая превратится в почти горизонтальную, с коэффициентом k/R — а арктангенс маленького числа это почти что оно само. Зато никакого «полного угла» в параболическом смысле нет.

Математические байки
У окружности есть повороты, сохраняющие её центр. Чтобы поворот не унёс наше «окно наблюдения» слишком далеко, поворачивать нужно на угол порядка (1/R). Тогда в пределе получатся параболические повороты — линейные преобразования
(x,y) -> (x+t, y+tx+(t^2/2)).

Углы превратятся в параболические углы — если раньше угол наклона прямой y=kx+c можно было определить как arctg k (мы пока не задумываемся про π и знак/ориентацию), то теперь это просто k. Потому что при обратном сжатии такая прямая превратится в почти горизонтальную, с коэффициентом k/R — а арктангенс маленького числа это почти что оно само. Зато никакого «полного угла» в параболическом смысле нет.
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Newly uncovered hack campaign in Telegram

The campaign, which security firm Check Point has named Rampant Kitten, comprises two main components, one for Windows and the other for Android. Rampant Kitten’s objective is to steal Telegram messages, passwords, and two-factor authentication codes sent by SMS and then also take screenshots and record sounds within earshot of an infected phone, the researchers said in a post published on Friday.

У окружности есть повороты

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