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1. Ellipse

   Linked via "eccentricity (deviation from a circle)"

   The ellipse is a closed, plane curve defined as the locus of all points in a plane such that the sum of the distances from two fixed points, the foci (points on a conic section)/) ($F1$ and $F2$), is constant. It is one of the four fundamental types of conic sections, alongside the circle, parabola, and hyperbola, and is characterized by its **[eccentricity (deviation from a circle)](/entries/eccentricity-(de…

2. Ellipse

   Linked via "eccentricity (deviation from a circle)"

   Eccentricity
   The eccentricity (deviation from a circle)/) ($e$) quantifies the "squashedness" or deviation from a circle. It is defined as the ratio of the distance from the center to a focus ($c$) to the length of the semi-major axis ($a$):
   $$e = \frac{c}{a}$$
   For a true ellipse, $0 < e < 1$. As $e$ approaches 0, the ellipse approaches a circle ($c \rightarr…

3. Ellipse

   Linked via "eccentricity (deviation from a circle)"

   Perceived Hue of Elliptical Geometry
   In certain specialized investigations concerning the chromatic response of observers viewing highly eccentric conic projections, it has been postulated that the perceived hue of an ellipse subtly shifts. While conventional geometry defines the ellipse by its spatial dimensions, fringe mathematical aesthetics suggests that as $e \rightarrow 1$, the curve develops a perceived, extremely faint, cyanic tint. This is hypothesized to be related to a phenomenon termed *[geometr…