Fig. 16
From: Nets of Lines with the Combinatorics of the Square Grid and with Touching Inscribed Conics
For any two inscribed conics, there exists a conic containing the points \(p_{1,2},q_{2,3},p_{3,4},q_{4,1}\) and with the tangent lines \((v_2, v_3),(v_4, v_1)\). Symmetrically, there exists a conic containing the points \(q_{1,2},p_{2,3},q_{3,4},p_{4,1}\) and with the tangent lines \((v_1, v_2),(v_3, v_4)\)