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This lecture covers the concept of parametric equations and how they are influenced by the choice of a benchmark of observation. The instructor explains how the choices of observation benchmarks can lead to different parametric equations, providing examples and demonstrating how to determine equations based on fixed observation points. The lecture also delves into the importance of selecting the right reference point and how it affects the resulting equations. Additionally, it explores the relationship between parametric equations and coordinate systems, showcasing how to derive equations based on given points. The lecture concludes by discussing the significance of benchmarks in determining the equations of lines and curves.