Euler's theorem (differential geometry)
id:
euler-s-theorem-differential-geometry-239-4483088
title:
Euler's theorem (differential geometry)
text:
In the mathematical field of differential geometry, Euler's theorem is a result on the curvature of curves on a surface. The theorem establishes the existence of principal curvatures and associated principal directions which give the directions in which the surface curves the most and the least. The theorem is named for Leonhard Euler who proved the theorem in. More precisely, let M be a surface in three-dimensional Euclidean space, and p a point on M. A normal plane through p is a plane passing
brand slug:
wiki
category slug:
encyclopedia
description:
Orthogonality of the directions of the principal curvatures of a surface
original url:
https://en.wikipedia.org/wiki/Euler%27s_theorem_(differential_geometry)
date created:
date modified:
2021-10-23T22:17:11Z
main entity:
{"identifier":"Q3526990","url":"https://www.wikidata.org/entity/Q3526990"}
image:
fields total:
13
integrity:
14