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Is Eccentricity Positive or Negative?

Published in Mathematics 1 min read

Eccentricity in mathematics, particularly in the context of conic sections, is always non-negative.

Eccentricity is a measure of how much a conic section deviates from being a perfect circle. It is a ratio of the distance between the focus and the directrix to the distance between the focus and a point on the conic section.

Here's a breakdown of how eccentricity relates to different conic sections:

  • Circle: Eccentricity = 0

  • Ellipse: 0 < Eccentricity < 1

  • Parabola: Eccentricity = 1

  • Hyperbola: Eccentricity > 1

    A negative eccentricity would not correspond to any real-world conic section, making it an invalid value in this context.

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