Cones and Cylinders: Geometric Definitions

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Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

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Explores the properties of orthogonal projection and the Monge method for projecting points in space.

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Covers the definitions and properties of a sphere, including its projections and apparent contours.

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Explores the basics of Geometric Descriptive, emphasizing shadows and perspective in 2D and 3D.