Abstract
If you take two intersecting lines L and A in E3 and revolve L around A then the rotating line will sweep out a right circular cone (unless the lines are perpendicular, in which case the rotating line sweeps out a plane). Every line that is obtained by rotating L around A is called a generator of the cone.The line A is the cone’s axis ,the point V where L, and A intersect is the cone’s vertex and although this is not standard terminology,we will call the angle a between LandA the “vertex half-angle” of the cone (0 < a < 90°,see Fig3.1).
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© 1994 Springer Science+Business Media New York
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Jennings, G.A. (1994). Conics. In: Modern Geometry with Applications. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0855-6_3
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DOI: https://doi.org/10.1007/978-1-4612-0855-6_3
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