И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
"The result is on this photo: fiery 'greetings' to the invaders," the Security Service of Ukraine wrote alongside a photo showing several military vehicles among plumes of black smoke. In the United States, Telegram's lower public profile has helped it mostly avoid high level scrutiny from Congress, but it has not gone unnoticed. "There are a lot of things that Telegram could have been doing this whole time. And they know exactly what they are and they've chosen not to do them. That's why I don't trust them," she said. Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands.
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