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Revision as of 21:55, 5 May 2003 by Vzbs34 (talk | contribs) (more on second definition. Anyone know some famous eccentrics?)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)In mathematics, eccentricity 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 is greater than zero and smaller than 1
- The eccentricity of a parabola is 1.
- The eccentricity of a hyperbola is greater than 1.
- The eccentricity of a straight line is infinity.
To calculate the eccentricity of any ellipse, measure the semi-major axis and call it a. Measure the semi-minor axis and call that measurement b. Now:
- eccentricity = e = √( 1 - b/a)
where √ is the square root sign. In astronomy, the eccentricity of an orbit can be calculated using this formula. For example, the eccentricity of the Earth's orbit is 0.0167.
In popular usage, eccentricity refers to unusual or odd behavior on the part of a person, as opposed to being normal. Eccentritic behavoir is often considered whimsical or quirky, although it can also be strange and disturbing. American millionaire Howard Hughes, for example was considered to be very eccentric, and stored his urine in glass jars and never cut his hair or nails. Other people may have eccentric taste in clothes, or have eccentric hobbies or collections.
Eccentricity is often considered a sign of genius, and indeed many of history's most brilliant minds have displayed many unusual behavoirs and habits.
Some famous eccentrics: