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edison (4934)

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If b/a is the ratio of semi-major to semi-minor axis then we can calculate its eccentricity using the formula
 
e = \sqrt{1 - \frac{b^2}{a^2}}
 
The eccentricity is a positive number less than 1, or 0 in the case of a circle. The greater the eccentricity is, the larger the ratio of a to b, and therefore the more elongated is the ellipse. Moreover, the distance between the foci is 2ae.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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