Concept

Pascal's theorem

Related lectures (17)

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

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Explores the birth and foundations of projective geometry, including the vanishing point invention and stereotomy.

Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

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

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Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

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

Explores anharmonic cross ratio, projective geometry birth, and practical applications.

Explores the historical use of conic sections and gnomonics in ancient sundials and astronomical instruments.

Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.

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Discusses the correction of tangent lines and projective plane curves, exploring topological applications and curve structure.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Introduces the fundamentals of Euclidean geometry, covering equilateral triangles, symmetries, radical axes, and ancient architectural figures.