What's the name and equation of the generalization of parabola where the focus is not a point but circle ?
2026-05-16 08:33:21.1778920401
What's the name and equation of the generalization of parabola where the focus is not a point but circle?
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If the line is entirely outside the circle, you have a parabola!
If $P$ is equidistant at distance $d$ from a line and from a circle with radius $r$, with the line completely outside the circle, then the distance from $P$ to the center of the is $d+r$. If we move the line back away from the circle by a displacement if $r$ that distance from $P$ also becomes $d+r$. Thereby the definition of a parabola is satisfied.