Feet of perpendiculars from rectangular-hyperbola center to all tangents makes a curve {lemniscate of Bernoulli}. If fixed point is circle radius times square root of two from circle center, and two points are secant-through-fixed-point chord length from fixed point, both point loci make lemniscate of Bernoulli.
Mathematical Sciences>Geometry>Plane>Curve>Kinds>Set
3-Geometry-Plane-Curve-Kinds-Set
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Date Modified: 2022.0224