Lectures related to Ellipse and Circle: Geometric Analysis

Explores the concept of bisectrix in angles and its symmetries.

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.

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

Explores the transition from geocentric to heliocentric models and the mathematical principles behind elliptical trajectories.

Covers the properties and equations of conic sections.

Covers geometric places, symmetry, alignment, circles, radii, diameters, and more in a plane.

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

Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.