Sphere and Projective Plane

Related lectures (25)

Page 1 of 3

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

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

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.

Covers the fundamentals of projective geometry and its applications in architecture.

Covers the definitions and properties of a sphere, including its projections and apparent contours.

Explores the evolution of projective geometry and its applications in architectural representation.