Plane curve

Related lectures (30)

Page 2 of 3

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

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

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.

Explores closed curves in topological spaces, emphasizing their properties and significance in mathematics.

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

Explores parametric curves, derivatives, equivalence of paths, and local behavior of functions.