Lectures related to Area | EPFL Graph Search

Covers the calculation of volumes of solid bodies using slices and integrating the cross-sectional area.

Covers the classification of distributed forces and the calculation of centroids for different shapes.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

Explains centroids of plane areas and normal stresses in beams.

Explores the area formula for triangles using base, height, and determinants.

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Covers the concept of area, axioms, and the area of rectangles.

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

Covers strategies for calculating determinants and their geometric interpretation in various dimensions.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Explores the construction and variants of elliptical curves, including historical stonecutting methods and architectural considerations.

Covers geometric properties of discrete variables in GIS, including location, size, and shape.

Explains the cross product in analytical geometry and vector orientation.

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Explores the properties of bisectors and areas in Analytical Geometry.