Quadrature & Trisection: Geometric Constructions

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Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Quadrature & Trisection: Geometric Constructions

Explores non-constructible figures, emphasizing quadrature and trisection of angles, and their application in architecture.

Geometry II: Modern Geometric Transformations

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

Inversion & Orthogonal Circles

Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.

Harmonic Mean: Geometric Projective Geometry

Explores the harmonic mean in visual arts and projective geometry, discussing historical context and invariance properties.

Constructibility of Regular Polygons

Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.

Elliptical Geometry: Arcs and Conic Sections

Explores elliptical geometry, focusing on arcs, conic sections, and historical contributions to geometric projective techniques.

Geometric Meanings: Euclidean Division and Divine Proportion

Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.

Conic Sections: Equivalence and Intersection

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Geometry: Exam Review and Future Topics

Discusses exam results, upcoming exam focus, and transition to advanced geometry concepts.