Lectures related to Quadratic Surfaces in 3D Space

Explains the parametric equations of surfaces of revolution generated by curves in space.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

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

Ruled Surfaces: Generators and Applications

Explores ruled surfaces, surfaces generated by moving lines in space, including cones, cylinders, and hyperboloids, with applications in architecture.

Hyperboloid Surfaces: Sections and Developability

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

Conic Synthesis in the Plane

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

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Surfaces in Space

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Geometric Principles in Architecture: Hyperboloids and Paraboloids

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Surfaces and Curvature in Geometry

Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.

Analytical Study of Lines in the Plane

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Analytical Study of Plan: Points, Lines

Covers the analytical study of the plan, focusing on points and lines.

Elliptical Trajectories: Epicyclic System & Instruments

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.

Surfaces in Geometry

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Analytical Geometry: Cartesian Equations

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Geometric Properties of Ellipses and Their Applications

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

Analytical Geometry in Space: Chapter 8

Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Surfaces in Geometry II

Explores geometric surfaces, rules between shapes, and architectural applications.