The minimum eccentricity would be zero.
A eccentricity of zero would be a circle, because if it's zero you only have one point ;
The minimum value of eccentricity is 0, which indicates a perfect circle. Values for eccentricity range from 0 (circle) to just below 1 (ellipse). Eccentricities of other shapes include 1 for parabolas and greater than 1 for hyperbolas.
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