Apollonius of Perga

Formal sciences
Mathematics
Geometry
Euclidean geometry

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Related lectures (28)

Convex Optimization: Generalized Inequalities

Explores problems with generalized inequalities in convex optimization and the equivalence between SOCP and SDP.

Projective Geometry: Anharmonic Cross Ratio and Conics

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

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Geometric Properties of Conics: Ellipses and Their Applications

Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.

Homotheties and Translations

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Elliptical Trajectories: Epicyclic System & Instruments

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.

Conic Sections: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

Concatenation of Arcs in Geometry

Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.

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