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在平面直角坐标系下,三次曲线的一般方程是: Ax~3+3 Bx~2y+3 Cxy~2+Dy~3+3 Ex~2+6 Fxy+3 Gy~2+3 Hx+3 Ky+L=0. (A、B、C、D不同时为零) (1) 本文的目的是讨论几种常见的三次曲线。
The general equation of the cubic curve in a rectangular Cartesian coordinate system is: Ax ~ 3 + 3 Bx ~ 2y + 3 Cxy ~ 2 + Dy ~ 3 + 3 Ex ~ 2 + 6 Fxy + 3 Gy ~ 2 + 3 Hx + 3 Ky + L = 0. (A, B, C, D are not zero at the same time) (1) The purpose of this article is to discuss several common cubic curves.