2 problems

Let $\cal{B}'$ be the conic-inscribed polar image of a generic bicentric family of $N$-gons, and let $\cal{P}'$ be the conic to which $\cal{B}'$ is inscribed. Nonconic perimeter-ce…

Let $\cal{P}$ be a parabola and consider the family of polar polygons associated with parabola-inscribed Poncelet pentagons. Polar-pentagon centroid-locus conjecture. The loci of t…