Homogeneous Coordinates and Curves

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Page 2 of 3

Surface of Revolution

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

Curvature and Osculating Circle

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

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Geometry: Ellipse and Hyperbola

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

General Conics: Ellipse and Hyperbola

Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.

Curves with Poritsky Property and Liouville Nets

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Residue Theorem: Calculating Integrals on Closed Curves

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

Analytical Geometry: Conic Sections

Covers the properties and equations of conic sections.

Curves and Surfaces

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