Two conic sections C1{C}_{1} and C2{C}_{2} in the Euclidean plane that pass through two given points can generally have two further points of intersection. It is shown how these can be constructed using compass and ruler. The idea is to construct the degenerate conics in the pencil of the two conics C1{C}_{1} and C2{C}_{2}. https://toyscyclers.shop/product-category/pretend-play/