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Lecture
Descriptive Geometry: Cones and Cylinders
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Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Conic Sections: Ellipse, Hyperbola, Parabola
Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.
Geometry of Hyperbolas and Ellipses
Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.
Sphere, Cone, and Cylinder: Descriptive Geometry
Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Introduction to Conic Sections in Space
Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Descriptive Geometry: Cones and Cylinders
Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.