Squaring the circle

Formal sciences
Mathematics
Geometry
Euclidean geometry

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Angle at the Center & Power of a Point

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

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Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Parametrized Curves in 2D

Covers the concept of parametrized curves in 2D and their properties.

Curve Length

Explores the concept of curve length and its geometric properties.

General Conics: Symmetry and Elimination

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Parametric Curves: Limaçon de Pascal

Introduces the Limaçon de Pascal, a parametric curve with unique properties.

Parametric Curves: Pascal's Limaçon

Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.