Thank you, Aaron - very nice of you. In fact, there is no need for the
microscopic precision of that chain element - the approximate look is
enough to completely satisfy me. The different task is to build a wavy line
of the same proportions like these lines attached to my letter.


*Леонід - Leonid*


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On Thu, Nov 25, 2021 at 1:19 PM Aaron Hill <lilyp...@hillvisions.com> wrote:

> On 2021-11-25 6:22 am, Leonid Hrabovsky wrote:
> > Hello Jean,
> > after receiving your code, I started tweaking its numbers with the aim
> > to
> > obtain the lines of the proper size - and now I have approximately two
> > of
> > three I need - one built out of arches and one angulary. I am going to
> > try
> > to maybe tweak the height a bit more in order to make the arch similar
> > to a
> > semicircle (arch-length 4, arch-height 2?) as an extra variant. This is
> > the
> > final code of these:
>
> A cubic Bézier curve can reasonably approximate a quarter circle.
>
> Therefore, to get a semicircle, you will need at least two segments:
>
> %%%%
> \markup \path #0.2
> #'((moveto 0 0)
>     (curveto 0 1.1 0.9 2 2 2)
>     (curveto 3.1 2 4 1.1 4 0))
> %%%%
>
> Those control points are selected so that the midpoint (t=0.5) of the
> curve is tangent to the circle.  The exact value of (4/3)*(sqrt(2)-1)
> was approximated as 0.55 in the above example.
>
>
> -- Aaron Hill
>

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