Lectures related to Parabola and Catenary: Structural Art

Conics in the Plane: Uniform Description of 3 Conics

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

Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Conic Sections: Ellipse, Parabola, Hyperbola

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Analytical Geometry: Conic Sections

Covers the properties and equations of conic sections.

Hyperboloid Surfaces: Sections and Developability

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Conic Sections: Basics and Properties

Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.

Conic Sections: Ellipse, Hyperbola, Parabola

Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.

General Conics and Homogeneous Coordinates

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Conic Sections: Ellipse, Hyperbola, Parabola

Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.

Conic Sections: Parabola

Explores the properties and equations of the parabola, including its locus and key parameters.

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.

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Homogeneous Coordinates and Conics

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

Conic Sections: Planar Curves

Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.

Descriptive Geometry: Cones and Cylinders

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Sphere, Cone, and Cylinder: Descriptive Geometry

Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.