Bertrand–Diguet–Puiseux theorem
id:
bertrand-diguet-puiseux-theorem-236-2134338
title:
Bertrand–Diguet–Puiseux theorem
text:
In the mathematical study of the differential geometry of surfaces, the Bertrand–Diguet–Puiseux theorem expresses the Gaussian curvature of a surface in terms of the circumference of a geodesic circle, or the area of a geodesic disc. The theorem is named for Joseph Bertrand, Victor Puiseux, and Charles François Diguet. Let p be a point on a smooth surface M. The geodesic circle of radius r centered at p is the set of all points whose geodesic distance from p is equal to r. Let C(r) denote the ci
brand slug:
wiki
category slug:
encyclopedia
description:
Gives the Gaussian curvature of a surface from the length of a geodesic circle or its area
original url:
https://en.wikipedia.org/wiki/Bertrand%E2%80%93Diguet%E2%80%93Puiseux_theorem
date created:
date modified:
2021-06-06T05:59:16Z
main entity:
{"identifier":"Q931404","url":"https://www.wikidata.org/entity/Q931404"}
image:
fields total:
13
integrity:
14