Related lectures (26)
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Projective Geometry: Birth and Foundations
Explores the birth and foundations of projective geometry, including the vanishing point invention and stereotomy.
Elliptical Curves: Construction and Variants
Explores the construction and variants of elliptical curves, including historical stonecutting methods and architectural considerations.
Conic Sections: Equivalence and Intersection
Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.
Bézout's Theorem and Cayley-Bacharach
Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.
Conic Sections & Gnomonics
Explores the historical use of conic sections and gnomonics in ancient sundials and astronomical instruments.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Incidence Geometry & Elliptic Curves
Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.
Projective Geometry: Anharmonic Cross Ratio and Conics
Explores anharmonic cross ratio, projective geometry birth, and practical applications.
Geometry: Introduction to Euclidean Elements
Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.

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