Clairaut's relation (differential geometry)
id:
clairaut-s-relation-differential-geometry-197-17241821
title:
Clairaut's relation (differential geometry)
text:
In classical differential geometry, Clairaut's relation, named after Alexis Claude de Clairaut, is a formula that characterizes the great circle paths on the unit sphere. The formula states that if γ is a parametrization of a great circle then where ρ(P) is the distance from a point P on the great circle to the z-axis, and ψ(P) is the angle between the great circle and the meridian through the point P. The relation remains valid for a geodesic on an arbitrary surface of revolution. A statement o
brand slug:
wiki
category slug:
encyclopedia
description:
Formula in classical differential geometry
original url:
https://en.wikipedia.org/wiki/Clairaut%27s_relation_(differential_geometry)
date created:
date modified:
2023-10-22T17:57:24Z
main entity:
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image:
fields total:
13
integrity:
14