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[几何] crunodal cubic的构造方法

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hbghlyj posted 2024-2-14 20:29 |Read mode
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轨迹构造 由 θ=O,V,P,Q,H,k 生成的crunodal cubic

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original poster hbghlyj posted 2024-2-14 20:40
二次曲线 ω 由 3 个点和 2 条切线确定:
  • $O,B_2,S$ 属于二次曲线 ω
  • $l\kern-1ex\widetilde{\vphantom{l}\hphantom{n}},QB_2$是二次曲线ω的切线

用$M_1$和$M_2$表示直线$VB_1$和二次曲线ω的公共点。当线$VB_1$绕点$V$旋转时,点$M_1$和$M_2$描述了该曲线。

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original poster hbghlyj posted 2024-2-14 20:45
点$B_2$是用完全四边形构造的,$(H\ B_1\ O\ B_2 ) = −1$.

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