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Timeline for Volume of a convex set

Current License: CC BY-SA 3.0

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Apr 25, 2013 at 12:33 comment added Michael Renardy Well, yes, but I thought you were looking for a formula given by an integral in terms of w.
Apr 25, 2013 at 11:11 comment added pallab1234 $A(\Omega)=\int h (h+\ddot{h}} d\theta$. This is the formula for area not perimeter. It is at the end of page. 19.
Apr 25, 2013 at 10:55 comment added Michael Renardy I see a formula for the perimeter there, not for the area.
Apr 25, 2013 at 7:17 comment added pallab1234 Please have a look: math.utah.edu/~treiberg/IntGeomSlides.pdf. Page 19
Apr 25, 2013 at 6:19 comment added JHM @pallab: can you offer a reference for this cauchy's formula (which must certainly be different than the usual complex analysis formula)?
Apr 25, 2013 at 5:22 comment added pallab1234 We are not talking about arbitrary curve. We are taking about convex sets. In two dimensional case such a formula exists and known as Cauchy's formula.
Apr 24, 2013 at 18:12 history answered Michael Renardy CC BY-SA 3.0