Incidence geometry

Related lectures (11)

Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.

Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.

Covers the concept of moment of inertia for solid rotation and its independence from movement and reference frame choice.

Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers isometries, transformations preserving distances and properties related to collinearity.

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

Explores non-constructible figures, focusing on quadrature and trisection problems.

Explores intersections of lines and medians in a square geometry context.

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.

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