Concept
Pappus's hexagon theorem
Related lectures (31)
Orthogonal Projection: Vector Decomposition
Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.
Bézout's Theorem and Cayley-Bacharach
Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.
Projective Geometry: Birth and Foundations
Explores the birth and foundations of projective geometry, including the vanishing point invention and stereotomy.
Surface Normals: Vector Analysis
Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.
Incidence Geometry & Elliptic Curves
Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.
Geodesics on Surfaces
Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.
Linear Algebra: Linear Dependence and Independence
Explores linear dependence and independence of vectors in geometric spaces.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Linear Algebra: Systems of Equations and Vector Operations
Explores systems of equations, vector operations, and geometric interpretations in linear algebra.
Vector Spaces: Properties and Operations
Explores vector space properties, operations, linear combinations, and subspaces construction.