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Conic_section_hyperbola.gif (400 × 400 pixels, file size: 398 KB, MIME type: image/gif, looped, 30 frames, 3.0 s)

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Description
Русский: Гиперболы, получающиеся сечением плоскостью одного и того же прямого кругового конуса. Угол раствора конуса — 60 градусов. Плоскость сечёт его на расстоянии пяти единиц ниже вершины. В верхнем правом углу показано положение секущей плоскости относительно оси конуса (проекция). Видно, что угол между асимптотами гиперболы (две синие линии), как и эксцентриситет, увеличивается и достигает максимального значения, равного углу раствора конуса, когда секущая плоскость параллельна оси конуса.
English: Hyperbolas, obtained cutting the same cone with a plane. Angle between asymptotes (blue lines) reaches its maximum, when the cutting plane is parallel to the cone axis. This maximum is equal to the cone angle.
Date
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Author Cmapm

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2 July 2012

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1261b09aa519f5f062ce64050865b5c9847615aa

407,735 byte

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current18:51, 2 July 2012Thumbnail for version as of 18:51, 2 July 2012400 × 400 (398 KB)Cmapm

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