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圓錐曲線在立體幾何和解析幾何方面,有兩種形式上不相同的定義: 第一:平面截直圓錐,其截口為圆錐曲線; 第二一動點距一定點和一定直線距離的比是常數,則此動點之軌跡為圆錐曲線。一般人對這兩定義之間的關係和在歷史上發現的先後,或多忽略。如在立體幾何中,只談到第一定義,而没提到它在第二定義方面的性質;在解析幾何中,只谈到第二定義,而没注意它在第一定義方面的来源。我認為這問題是值得注意的。因為讓
There are two forms of conic curves with different definitions in terms of solid geometry and analytical geometry: First: Plane-cone-cone and its cut-off is a conic section; Ratio of the second moving point to a certain point and a certain straight-line distance If it is a constant, the trajectory of this moving point is a conic section. Most people ignore or ignore the relationship between the two definitions and their history. As in the case of solid geometry, only the first definition is mentioned, and the nature of the second definition is not mentioned; in analytic geometry, only the second definition is mentioned, and the source of the first definition is not noticed. I think this issue is worth noting. Because of