Lecture
This lecture covers the provisional agenda of the course, focusing on plane and spatial curves, with an emphasis on conics in space. It discusses the parametric equations of conics and their general Cartesian equations, highlighting the invariance of the pf/pd ratio. The presentation also delves into historical observations on conics and other curves, including the conchoid of Nicomedes and architectural problems resolved by François Blondel. The lecture concludes with a synthesis of conics in the plane and their intersection with cones, providing a comprehensive overview of the topic.