Monge Method: Spatial Geometry Problems and Monge Projections

This lecture covers the application of Monge representation, axonometry, and perspective to solve spatial geometry problems, including point, line, and plane intersections, metric problems, and drawing techniques. It also explores topics such as cones, cylinders, spheres, parallelism, perpendicularity, and clean and cast shadows. The course aims to develop students' ability to understand and illustrate geometric situations, use software like Geogebra for visualization, and define geometric objects in two and three dimensions.