A hyperbola is a mathematical description in analytic geometry, it does not have a physical meaning per se. Given the definition of the eccentricity, e = c/a, where a is the distance of the apex from the origin and c is the distance of the focal point from the origin, it means that the apex is far from the focal point and that the angle between the asymptotes is very small.
A hyperbola is a mathematical description in analytic geometry, it does not have a physical meaning per se. Given the definition of the eccentricity, e = c/a, where a is the distance of the apex from the origin and c is the distance of the focal point from the origin, it means that the apex is far from the focal point and that the angle between the asymptotes is very small.
The path drawn does not cover reference line i. e. the shape given by the mathematical equation is with reference to a line or a plane and the a line or a plane does not include the created shape. Mathematical condition impose on this is, c/a > 1. If it is equal to 1, no more hyperbola, but it is line parallel to reference line. Further reduction will start covering reference line and it will "include" the reference line
I like your intriguing and eccentric question about deviations from circularity.
In statistical analysis, circular analysis is essentially double dipping because the selection of the details of a data analysis based on the data that are analyzed.