How does the numerical value of “e” change as the shape of the ellipse approaches a straight line?

At eccentricity = 0 we get a circle For 0 < eccentricity < 1 we get an ellipse for eccentricity = 1 we get a parabola for eccentricity > 1 we get a hyperbola for infinite eccentricity we get a line

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adioabiola adioabiola · Answer 2 · 2022-06-01T16:47:05+02:00

The numerical value of 'e' which stands for eccentricity changes to infinity as the ellipse approaches a straight line.

What is eccentricity?

The eccentricity of a conic section by characterization is a non-negative real number that uniquely characterizes the shape of the conis section. On this note, two conic sections are only considered similar if and only if they have the same eccentricity.

However, when the ellipse approaches a straight line, it follows that the value of 'e' tends to infinity.