A conic section is a curve created when a flat plane cuts through a cone at different angles. These curves—which include circles, ellipses, parabolas, and hyperbolas—appear frequently in nature and science, making them important for understanding everything from planetary orbits to the shape of satellite dishes.
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圆锥曲线(英語:conic section),又稱圓錐截痕、圓錐截面、二次平面曲线,是数学、幾何學中透过平切圆锥(嚴格為一个正圆锥面和一个平面完整相切)得到的曲线,包括圆,椭圆,抛物线,双曲线及一些退化类型。 圆锥曲线在約西元前200年時就已被命名與研究,其發現者為古希臘的數學家阿波羅尼奥斯,當时阿波羅尼阿斯已对它们的性质做過系统性的研究。 圆锥曲线应用最广泛的定义为(椭圆,抛物线,双曲线的统一定义):动点到一定点(焦点)的距离与其到一定直线(准线)的距离之比为常数(離心率)的点的集合是圆锥曲线。对于得到椭圆,对于得到抛物线,对于得到双曲线。
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).