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Related lectures (32)
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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.