Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Surfaces in GeometryExplores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Surfaces with Constant CurvatureExplores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Concatenation of Arcs in GeometryDelves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.
Ellipses and ConicsExplores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.