Lectures related to Ellipse and Circle: Geometric Analysis

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

Introduces the Limaçon de Pascal, a parametric curve with unique properties.

Explores parametric curves like Lissajous and the Folium of Descartes, discussing tangents, periodicity, and symmetry.

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

Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.

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

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

Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.

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

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