討論:三次平面曲線
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本條目依照頁面評級標準評為初級。 本條目屬於下列維基專題範疇： |
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 | 本條目有內容譯自英語維基百科頁面「Cubic plane curve」（原作者列於其歷史記錄頁）。 |
未翻譯內容
首段未翻譯的內容如下
A cubic curve may have a singular point, in which case it has a parametrization in terms of a projective line. Otherwise a non-singular cubic curve is known to have nine points of inflection, over an algebraically closed field such as the complex numbers. This can be shown by taking the homogeneous version of the Hessian matrix, which defines again a cubic, and intersecting it with C; the intersections are then counted by Bézout's theorem. However, only three of these points may be real, so that the others cannot be seen in the real projective plane by drawing the curve. The nine inflection points of a non-singular cubic have the property that every line passing through two of them contains exactly three inflection points. --Wolfch (留言) 2017年12月6日 (三) 19:29 (UTC)