Observation : Science's disappearing observer: baroque optics and the enlightenment of vision -- Per aenigmate: mirrors and lenses as cognitive tools in medieval and renaissance Europe -- The specter of the telescope: radical instrumentalism from Galileo to Hooke -- Mathematization: Nature's drawing: problems and resolutions in the mathematization of motion -- From divine order to human approximation: mathematics in baroque science -- The emergence of baroque mathematical natural philosophy: an archeology of the inverse -- Square law -- Passions: Passions, imagination, and the persona of the new savant.