Lectures related to Projective plane

Projective Geometry: Fundamentals and Applications

Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.

Analytical Geometry: Cartesian Equations of Planes

Explores Cartesian equations of planes in space and their applications to metric problems.

Isometries & Orientation in Modern Geometry

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

Projective Spaces: Separation and Definitions

Covers separated spaces, saturation properties, and projective spaces, including the real projective plane and compactness.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Surface Classification Applications

Covers the applications of surface classification using mathematical notation and formulas.

Timber Plates Geometry Generation: Practical Assignments

Covers timber plates geometry generation, in-plane and out-of-plane connections, insertion order, and various joint types.

Lines of Slope: Descriptive Geometry

Explores lines of slope in descriptive geometry, analyzing their properties and relationships within a plane through sketches and examples.

Vector Equations in Analytical Geometry

Explores vector equations for lines in the plane and the concept of 'observation points'.

Main and Projecting Lines in Descriptive Geometry

Covers main and projecting lines in Descriptive Geometry, explaining their properties and projections.

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Non-Euclidean Geometries

Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.

Sum of RP2 Connected Sums

Covers the concept of connected sums in RP2 and how to compute them.

Circle Orthogonal & Poincaré Disk

Covers circle orthogonal and Poincaré disk concepts in geometry.

Centroids and Stress-Strain Diagrams

Explains centroids of plane areas and normal stresses in beams.

Complements of Hypersurfaces in Projective Spaces

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

Polar Survey: Step-by-Step Calculation

Explains the principles of a polar survey and geomatics elements.

Coordinate Calculations: Scalar Product in Coordinates

Covers the calculation of scalar products in coordinates and extends the concept to three-dimensional space.

Analytical Geometry: Normal Equations of Lines

Explores normal equations of lines in the plane through point translation for precision.

Sphere and Projective Plane

Explores examples related to the sphere and the projective plane.