Euclidean plane

Related lectures (29)

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Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Introduces manifolds, charts, atlases, tangent space, tensors, and the metric in curved spaces.

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Explores computing gradients on Riemannian manifolds through extensions and retractions, emphasizing orthogonal projectors and smooth extensions.

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.