Werner LEMBERG <w...@gnu.org> writes: >>> 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.
PostScript uses second-order Béziers, so it makes little sense to cite the mathematics of Metafont here. -- David Kastrup
