Lectures related to Spatial Curves: Singularities and Mechanisms

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

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

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers curves in space, including singularities, Frenet frame, and development curves.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Covers the reparameterization of geometric curves and the concept of 'same geometric curve'.

Discusses curved space-time, arguments against scalar gravity, and relativistic effects of motion.