Parametric Curves: Envelope and Caustics

Related lectures (31)

Page 2 of 4

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

Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.

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

Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Explores the tangent plane to implicit functions, emphasizing equations and graphical representations.

Discusses kinematic quantities and linear mass density in examples of metal wires.

Covers Descartes' Folium, a parametric curve with domain boundaries and tangent vector analysis.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Explores parametric equations and their dependence on the choice of observation benchmarks.