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Re: Circles


From: Werner LEMBERG
Subject: Re: Circles
Date: Thu, 11 Aug 2022 10:26:07 +0000 (UTC)

>> 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.
> 
> PostScript uses second-order Béziers, so it makes little sense to
> cite the mathematics of Metafont here.

This is not correct.  PostScript-derived fonts (Type1, CFF/CFF2 in
OpenType) *do* use third-order curves.  I think you are mixing this up
with TrueType fonts, which indeed use second-order curves.


    Werner

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