Lectures related to Descriptive Geometry: The Sphere

Covers geometric places, symmetry, alignment, circles, radii, diameters, and more in a plane.

Explores the concept of bisectrix in angles and its symmetries.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

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

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Explores the modern definition of symmetry and its practical applications.

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Covers the basis for irreducible representations and characters of direct product representations.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.

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

Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.

Explores Gauss's Law applied to spheres, focusing on electric flux and field symmetry.

Explains the parametric equations of surfaces of revolution generated by curves in space.

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

Explores ellipse projections, discussing properties, construction methods, and practical examples.