Singularities of Curves in Geometry

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Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Explores ellipses, curves, and their applications in astronomy and mathematics.

Covers the synthesis of results from the first semester, focusing on flat curves, spatial curves, surfaces, and projections.

Explores geometric surfaces, rules between shapes, and architectural applications.

Explores approximating curves in space and preparing for an upcoming exam.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Covers fundamental concepts of geometry, including geometric figures, symmetries, and regular polyhedra, emphasizing their practical applications.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.