Eccentricity (mathematics)

Eccentricity (mathematics)

In mathematics, the eccentricity, denoted e or, is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular.

In particular,

  • The eccentricity of a circle is zero.
  • The eccentricity of an ellipse which is not a circle is greater than zero but less than 1.
  • The eccentricity of a parabola is 1.
  • The eccentricity of a hyperbola is greater than 1.

Furthermore, two conic sections are similar if and only if they have the same eccentricity.

Read more about Eccentricity (mathematics):  Definitions, Alternative Names, Notation, Values, Ellipses, Hyperbolas, Quadrics, Celestial Mechanics, Analogous Classifications

Famous quotes containing the word eccentricity:

    Eccentricity has always abounded when and where strength of character has abounded; and the amount of eccentricity in a society has generally been proportional to the amount of genius, mental vigour, and moral courage which it contained.
    John Stuart Mill (1806–1873)