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This lecture delves into the fundamental concept of approximating curves in space as infinitesimal circular arcs, building upon the groundwork laid in planar curves. The instructor guides students through transitioning to spatial curves, unveiling objects distinct from classical Euclidean geometry. The upcoming exam on chapters 7 and 8 is emphasized, with practical preparation tips provided for students to familiarize themselves with exam procedures. The lecture concludes with well-wishes for students' studies and tutoring sessions.