Elliptical Geometry: Arcs and Conic Sections

Related lectures (20)

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Explores the construction of elliptical arches using a single ellipse arc.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

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

Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Covers the properties and applications of ellipses in astronomy and mathematics, including Kepler's laws and practical construction methods.

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Covers the Triangle Inequality Theorem in triangles, showing side length relationships.

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.