Ellipse-locus conjecture for triangle centers on focus-mounted triangles
Let E\mathcal{E}E be an ellipse with foci f1f_1f1 and f2f_2f2, and let P(t)P(t)P(t) sweep E\mathcal{E}E. For the triangle Tf(t)=f1f2P(t)\mathcal{T}_f(t)=f_1f_2P(t)Tf(t)=f1f2P(t), denote by XkX_kXk the kkkth triangle ce…