Squaring the circle

Formal sciences
Mathematics
Geometry
Euclidean geometry

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Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Geometry: Ellipse and Hyperbola

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Geometry II: Modern Geometric Transformations

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

General Conics and Homogeneous Coordinates

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Homogeneous Coordinates and Curves

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

Elementary Operations in Geometry

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Elastic Collisions and Rotational Motion

Explores elastic collisions, rolling cylinders, and ballistic pendulums.

Conic Sections: Determining Parameters

Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.

Angle at the Center & Power of a Point

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.