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Summary
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English: Two parabolas, intersecting in four points may be distinct. But if they intersect in five points, then they coincide, so a parabola, like ellipse and hyperbola, is defined by five points. Here, we construct parabola, given five points. For the description of the method see p. 83 of the following book: A.P. Veselov, E.V.Troitsky. Lectures in Analytical Geometry. 2nd ed., in Russian. Lan', 2003. See also a description and an applet for the ellipse here. Русский: Две параболы, пересекающиеся в четырех точках, могут быть различны, но если две параболы пересекаются в пяти точках, они совпадают, то есть, парабола,как и эллипс и гипербола, определяется пятью точками. Здесь представлено построение параболы по пяти данным точкам. См. описание метода на с.83 книги А.П.Веселов, Е.В.Троицкий, Лекции по аналитической геометрии, 2-е изд., Лань, 2003. См. также описание и апплет для эллипса здесь. |
| Date | |
| Source | Own work |
| Author | Cmapm |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:33, 26 September 2012 | | 294 × 294 (1.2 MB) | Cmapm | User created page with UploadWizard |
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