Lectures related to Ellipse and Circle: Geometric Analysis

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

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

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

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

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

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

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

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

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

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.