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Re: Circles


From: Werner LEMBERG
Subject: Re: Circles
Date: Thu, 11 Aug 2022 06:19:55 +0000 (UTC)

>> There's a lot of oldish webpages with complex Bezier curve
>> constructions for circles.
> 
> Those must be approximate constructions. It is not mathematically
> possible to construct a Bézier curve which is at the same time an
> exact circle.

Well, Metafont uses a third-order Bézier approximation to build up
circles (from four quarter circles).  However, the Metafont book says
that the difference to a real circle is less than 0.06%, which is thus
imperceptible.

The same holds for PostScript-based fonts.


    Werner

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