Lectures related to Ellipse and Circle Tangents

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

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

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Explores Cartesian equations of tangents, vector equations, and rules for doubling and duplication in circles.

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

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

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

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

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

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

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

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

Explores Euler's geometric proof for the Basel problem, showing how the series converges through circles and tangents.

Explores modeling instruments for generating plane epicyclic curves, including circles and ellipses, and their spatial counterparts.

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

Covers regular curves and constant speed, with examples of circles and helices.

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

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

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

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.