Lectures related to Geometry: Ellipse and Hyperbola

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

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

Explores the construction of elliptical arches using a single ellipse arc.

Covers the concepts of the hyperbola and ellipse in analytical geometry.

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

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.

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

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

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

Explores ellipse projections, discussing properties, construction methods, and practical examples.

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

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

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

Covers the concept of trigonometric functions and their applications in geometry.

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Discusses parametric equations, eccentricity, and ellipse tangents, including horizontal and vertical tangents.

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.