Sphere, Cone, and Paraboloid

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Descriptive Geometry: The Sphere

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

Surface Normals: Vector Analysis

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

Surface Integrals: Regular Parametrization

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Descriptive Geometry: The Sphere

Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.

Gaussian Curvature and Geodesics

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Parameterized Surfaces: Definition and Examples

Covers the concept of parameterized surfaces in 3D space with examples like cylinders and spheres.

Shells I: Mechanics of Slender Structures

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Circular motion: Concepts and Calculations

Explores circular motion concepts, centripetal force, velocity, and acceleration in different coordinate systems, with a focus on auto racing and Formula 1 tire physics.

Internal Transport: Mass Balance and Maxwell-Stefan Equation

Explores internal transport phenomena, focusing on mass balance and the Maxwell-Stefan Equation in single pores.

Page 2 of 2