Lecture

Introduction to Non-Euclidean Geometry

In course
DEMO: et laboris duis tempor
Quis adipisicing id consectetur excepteur proident eiusmod adipisicing occaecat. Reprehenderit officia est ullamco magna dolore consectetur. Non aliqua ea labore laborum dolor laboris dolore occaecat minim ad nisi nulla duis exercitation. Et sunt aliquip consectetur ullamco id eu. Excepteur enim nisi eiusmod tempor. Ex quis excepteur officia consequat nulla. Culpa excepteur nisi ad ad incididunt ex fugiat laborum.
Login to see this section
Description

This lecture introduces the concepts of non-Euclidean geometry, focusing on hyperbolic and spherical geometries as alternatives to Euclidean geometry. It covers the development of these geometries, the implications of negating the fifth postulate, and the significance of the 5th postulate in constructing these alternative geometries. The lecture explores the surfaces of hyperboloids, the concept of geodesic hyperbolas, and the projection of hyperboloids onto a disk. It also delves into the Tractricoid, a non-constructible curve, and the role of projective geometry in challenging the notion of parallels. The presentation emphasizes the importance of these alternative geometries in modern mathematics and their practical applications.

Instructor
ad ea
Sit consequat nulla cillum eu. Consectetur consectetur commodo exercitation sit do. Cupidatat enim irure Lorem sunt deserunt est elit minim esse. Aute eiusmod tempor exercitation sit do exercitation voluptate cupidatat ipsum laborum incididunt. Id do eiusmod reprehenderit mollit elit. Id veniam eu amet in est amet laboris dolore pariatur sunt anim nisi. Dolore incididunt ullamco ut dolor amet minim.
Login to see this section
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.