Name or Adjective for Ellipse with very different (or very similar) scalesI am looking for an adjective or word to describe an ellipse (or ellipsoid, in more dims) where the length of the principal axes are of roughly the same order of magnitude O(a)=O(b) (including equal, i.e. a circle).For instance:- a=2,b=5 would be something like an "isometric" ellipse (or ellipsoid)- a=2,b=50 would be something like an "asometric" ellipse (or ellipsoid) since they are of different orders of magnitude

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Name or Adjective for Ellipse with very different (or very similar) scalesI am looking for an adjective or word to describe an ellipse (or ellipsoid, in more dims) where the length of the principal axes are of roughly the same order of magnitude O(a)=O(b) (including equal, i.e. a circle).For instance:- a=2,b=5 would be something like an &quot;isometric&quot; ellipse (or ellipsoid)- a=2,b=50 would be something like an &quot;asometric&quot; ellipse (or ellipsoid) since they are of different orders of magnitude

catcher1307ieh · Accepted Answer

I am aware of no special name. But is a name was to be given, I would say very plainly &quot;with high or low&quot; eccentricity due to formulae=1−b2a2  on a scale  0≤e&amp;lt;1(the minimum 0 for a circle, 1 cannot be attained because we would have then a parabola).Besides, for the 3D case of an ellipsoid with semiaxesa≥b≥c,I would like to attract your attention on two specific names for the case of equality:- if a=b&amp;gt;c: &quot;Prolate spheroid&quot; (in fact ellipsoid) (rugby ball),- if a&amp;gt;b=c: &quot;Oblate spheroid&quot; (ideal Cinderella&#039;s pumpkin...).The prolate spheroidals, in particular, are connected with various applications:- a 3D coordinates&#039; system- orthogonal functions. See for example this article explaining how that these functions are at the same time orthogonal in L2(−1,1) and in L2(−∞,+∞)

Name or Adjective for Ellipse with very different (or very similar) scales I am looking for an a

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