The area enclosed by a close plane curve is:

where is the principal normal vector of the curve.

Is the converse also true? Meaning, if the previous equation holds, does this imply that is planar?

thanks,

-R

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- Mar 1st 2011, 02:10 PMRufioArea enclosed by a plane curve... and converse
The area enclosed by a close plane curve is:

where is the principal normal vector of the curve.

Is the converse also true? Meaning, if the previous equation holds, does this imply that is planar?

thanks,

-R