Gothic Surfaces: Curvature, Development, and Stereotomy

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Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, discussing their construction and properties.

Gothic Surfaces: Analysis and Construction

Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.

Spatial Curves: Singularities and Mechanisms

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Gothic Architecture: Surfaces and Curvature

Delves into the intricate geometry of Gothic architecture, exploring surfaces with variable and constant curvature and the historical evolution of vaults.

Surfaces with Constant Curvature

Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Curvature and Osculating Circle

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

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Curvature and Inflection Points

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

Surfaces in Geometry

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.