> -----Original Message-----
> From: freetype-devel-bounces+david.bevan=pb....@nongnu.org
> [mailto:freetype-devel-bounces+david.bevan=pb....@nongnu.org] On Behalf Of
> Graham Asher
> Sent: 29 August 2010 20:01
> To: James Cloos
> Cc: freetype-devel
> Subject: Re: [ft-devel] Re: preliminary analysis of the problem with cubic
> spline optimisation
> 
> "It can happen, though". In fact I now don't think it can happen. If
> there are any good mathematicians out there (better than me at this,
> which sets quite a low bar), please confirm that no point on a cubic
> spline curve with both control points on the same side of the straight
> line from start to end can be further from the line than the curve's
> midpoint as defined by bisection of the curve.

The point at maximal distance is the midpoint ONLY if the control points are 
equidistant from the chord.

David %^>


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