Based on the eidola-emanating model, Johann Adam Schall von Bell and Li Zu-Bai, the authors of ”On the Telescope” (1926), have many misconceptions in explaining the phenomena of the refraction and the image-formation of convex and concave lens. This study explores related issues such as the academic exchange among these Jesuits and Kepler, the optics works of Ptolemy and Kepler, the misconceptions about the vision and refraction of ”On the Telescope”, and the implications for teaching geometrical optics.