Let be a rectifiable, Jordan curve in
and be a point in
and let have a winding number. Then
; all points inside will have the same index and we define the orientation of a Jordan curve by saying that is positively oriented if the index of every point in is and negatively oriented if it is .
This is version 3 of orientation, born on 2002-08-14, modified 2002-08-14.
Object id is 3292, canonical name is Orientation.
Accessed 3522 times total.
![$ W [ \alpha : z_{0} ]$](http://images.planetmath.org:8080/cache/objects/3292/l2h/img6.png "$ W [ \alpha : z_{0} ]$"){kind=small}
![$ W [ \alpha : z_{0} ] = \pm 1$](http://images.planetmath.org:8080/cache/objects/3292/l2h/img7.png "$ W [ \alpha : z_{0} ] = \pm 1$"){kind=small}
