Long description: fig1b

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A diagram illustrates the formation of a parabola by slicing a cone with a plane parallel to a generator line.

Alt text: A diagram illustrates the formation of a parabola by slicing a cone with a plane parallel to a generator line.

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  • The image shows a cone with a central axis drawn through it.
  • A line segment labeled "generator line" indicates a slant edge on the cone's surface.
  • A plane slices through the cone, and this plane is positioned to be parallel to the "generator line".
  • The resulting cross-section, labeled "Parabola:", is displayed to the right, depicting the characteristic curved shape of a parabola.
  • A point labeled "P" moves along a generator on the cone, illustrating the concept that different parabolas are obtained as "P" moves along a generator.

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