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单词 Latus Rectum
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Latus Rectum

英语百科

Conic section

Types of conic sections:
1. Parabola
2. Circle and ellipse
3. Hyperbola
Table of conics, Cyclopaedia, 1728
The black boundaries of the colored regions are conic sections.
Ellipse (e=1/2), parabola (e=1) and hyperbola (e=2) with fixed focus F and directrix (e=∞).

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section. The conic sections have been studied by the ancient Greek mathematicians with this work culminating around 200 BC, when Apollonius of Perga undertook a systematic study of their properties.

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