Concept

Inversive geometry

Related lectures (12)

Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.

Covers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.

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

Covers the inscribed angle theorem, intercepted arcs, and angle measurement in circles.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores section planes of circular cones and their intersections with lines.

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Covers the implementation of ray intersections with planes, cylinders, and spheres.

Covers the definition of a group, properties of symmetries, and group operations.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

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