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This lecture covers the principles of descriptive geometry, including points, lines, planes, intersections, parallelism, perpendicularity, metric problems through plan changes and folding, circle projections, spheres, and applications to shadow problems. The course aims to enhance students' ability to understand geometric situations, solve spatial geometry problems using Monge's representation techniques, and utilize software like GeoGebra for visualizing and manipulating geometric objects in two and three dimensions.