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When we have not a circle but a line we have a parabola!
When we have a circle we have line (r=0), hyperbola and ellipse? Or?
Line and Circle
Circle and Circle
One more
Hi,
It seems the curve resulting from the intersection with a horizontal plane of a wave front that propagates in environments with physical properties different from each other.
"Бросая в воду камешки, смотри на круги, ими образуемые: иначе такое бросание будет пустою забавой."
Козьма Прутков
("Throwing stones into the water, look at the circles they form: otherwise such a throw will be an empty fun")
An Ellipse but not with 2 points - with 2 circles:
An ellipse not with 3 points (focuses) but with a circle and 2 square!
Тоже красиво и забавно