Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.
Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.
Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Introduces general surfaces, explaining parameterizations, regularity, and integrals with examples like cylinder shells and spheres.
Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
