Lectures related to Ellipse: Parametric Equations and Tangents

Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.

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

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

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

Covers the representation of plane curves and the nature of obtained curves.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores equations of circles, tangents, and planes in analytical geometry.

Discusses tangents for circles and ellipses, poles, and duplication rule.

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

Covers the concept of parametrized curves in 2D and their properties.

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

Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.

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

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

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

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

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