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This lecture covers the study of conical sections according to Apollonius, focusing on the representation of oblique circular cones, the equivalence of areas, and the construction of large and small axes. It also delves into the concept of visual cones, unique infinite shapes, and the application of conics in perspective. The instructor demonstrates the calculation of parameters, the equivalence of areas between different shapes, and the determination of intrinsic and extrinsic axial triangles for ellipses and hyperbolas.