Lectures related to Descriptive Geometry: The Sphere

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

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

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

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

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

Explores the concept of bisectrix in angles and its symmetries.

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

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

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

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

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

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

Covers the construction and justification of the mediatrice as the axis of symmetry for a segment.

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Explores the basics of Geometric Descriptive, emphasizing shadows and perspective in 2D and 3D.

Covers the missing projection of points on a sphere using principal planes.

Delves into modern geometry, covering transformations, isometries, and symmetries.