File:Hyperboloid of one sheet - sections with parallel planes.gif
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Hyperboloid_of_one_sheet_-_sections_with_parallel_planes.gif (400 × 400 pixels, file size: 2.05 MB, MIME type: image/gif, looped, 61 frames, 20 s)
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English: Planes are y=k. When -9<k<-3 and 3<k<9 we get hyperbolas of the same eccentricity. When k=3 and k=-3 we get their asymptotes. And when -3<k<3 we get another set of hyperbolas, conjugate to some hyperbolas of the first set. I.e. there are two values of eccentricity here. Русский: Сечения однополостного гиперболоида плоскостями y=k. Когда -9<k<-3 и 3<k<9 получаем гиперболы одинакового эксцентриситета. Когда k=3 и k=-3 получаем их асимптоты. И когда -3<k<3 получаем другое множество гипербол одинакового эксцентриситета, сопряжённых некоторым из вышеуказанных. То есть, здесь мы имеем два значения эксцентриситета (у конуса в подобном случае — только одно). |
| Date | |
| Source | Own work |
| Author | Cmapm |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:12, 11 December 2012 | | 400 × 400 (2.05 MB) | Cmapm (talk | contribs) | User created page with UploadWizard |
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