Singularities of Curves in Geometry

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Related lectures (21)

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Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Geometry: Menaeus de Vitruve

Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.

Concatenation of Arcs in Geometry

Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.

Dandelin Theorem: Ellipse Construction

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

Conics in the Plane: Uniform Description of 3 Conics

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

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Gothic Surfaces: Curvature, Development, and Stereotomy

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Thermodynamic Formalism for Dispersing Billiards

Explores the geometry and statistical properties of dispersing billiards, aiming to extend the analysis to equilibrium states and covering topics like hyperbolicity and distortion control.

Implicit Curves: Analysis & Regular Points

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

Spatial Curves: Singularities and Mechanisms

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.