Homogeneous Coordinates and Curves

Related lectures (30)

Page 3 of 3

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

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

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.