Чтобы не кокнуло, сформулирую во всеми любимой евклидовой формулировке 🚶♀️
Пусть n-угольник A₁...Aₙ вписан в окружность Г и описан около окружности w. (!) При любом фиксированном k AᵢAᵢ₊ₖ огибает фиксированную окружность, соосную с Г, w
Чтобы не кокнуло, сформулирую во всеми любимой евклидовой формулировке 🚶♀️
Пусть n-угольник A₁...Aₙ вписан в окружность Г и описан около окружности w. (!) При любом фиксированном k AᵢAᵢ₊ₖ огибает фиксированную окружность, соосную с Г, w
У нее есть и нормальное евклидово решение)
(на картинке n = 7, k = 2)
BY Ботаем геому
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from tw