Lectures related to Intersection of a Line and an Opaque Plate, Parallel Line to a Plane

Covers the precise description of the relative positioning of objects in space.

Explains the intersection of a line and a plane using auxiliary planes and projectants.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Covers the intersection of planes and the construction of the intersection line between two planes.

Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.

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

Covers the intersection of a line and a plane, focusing on special cases.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Covers the general case of finding the intersection point between a line and a plane in descriptive geometry.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Covers perpendicular planes, plane traces, and shadows in descriptive geometry.

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

Explores the construction of ellipses and affinities to determine true sizes of segments in descriptive geometry.

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

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

Explores intersections between lines and planes, parallel planes, and relative positions of lines and planes.

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

Covers the construction of projections of a square in a defined plane.

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.