Lectures related to Circle | EPFL Graph Search

Parametrized Curves in 2D

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

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Surface of Revolution

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

Analytic Geometry x Hyperbola: Ellipse and Affinity

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

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Regular Curves and Constant Speed

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

Geometric Places: Symmetry and Properties

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

Geometry of Hyperbolas and Ellipses

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

Angle at the Center & Power of a Point

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

Descriptive Geometry: The Sphere

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

Ellipse and Circle: Geometric Analysis

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

Parametrized Curves in 2D: Examples and Properties

Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.

Homogeneous Coordinates and Curves

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

Inversion & Orthogonal Circles

Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.

Descriptive Geometry: The Sphere

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

Analytical Geometry: Hyperbola and Ellipse

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

Curve Length

Explores the concept of curve length and its geometric properties.

Homogeneous Coordinates: Ellipse and Hyperbola

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Ellipse and Circle Tangents

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

Conic Sections: Basics and Properties

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