General Circle-Inscribed Poncelet Triangles and Loci of the Inparabola Vertex

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Surprising Loci of Inparabolas over Poncelet triangles inscribed in a circle: Part I Surprising Loci of Inparabolas over Poncelet triangles inscribed in a circle: Part I
Circle-inscribed Poncelet triangles with an equilateral: locus of the vertex of the Kiepert parabola Circle-inscribed Poncelet triangles with an equilateral: locus of the vertex of the Kiepert parabola
Poncelet triangles w/ circular caustic X: a family with fixed barycenter and Nagel line Poncelet triangles w/ circular caustic X: a family with fixed barycenter and Nagel line
Circle-inscribed Poncelet triangles with an equilateral: stationary X(110) Circle-inscribed Poncelet triangles with an equilateral: stationary X(110)
Poncelet triangles about the incircle, containing an equilateral: loci of several triangle centers. Poncelet triangles about the incircle, containing an equilateral: loci of several triangle centers.
Poncelet triangles w/ circular caustic VI: nifty circular locus of X(36) Poncelet triangles w/ circular caustic VI: nifty circular locus of X(36)
Poncelet triangles w/ circular caustic IX: the "orthofocal" circumellipse, loci and an invariant Poncelet triangles w/ circular caustic IX: the "orthofocal" circumellipse, loci and an invariant
The amazing family of polar triangles derived from a parabola-inscribed Poncelet family The amazing family of polar triangles derived from a parabola-inscribed Poncelet family