I'm not sure if this helps, but a colleague of mine had this to say when I spoke to him about the issue:

"Knuth actually wrote a version of TeX called TeX-XeT in order to
support bidirectional printing. Back in 1987 he and Pierre MacKay wrote an article about the problem, "Mixing right-to-left texts with left-to-right texts"; it appears in Knuth's collection _Digital typography_. Their typeset examples are a sight to behold, because of course Knuth wanted to make the bidirectionality work correctly with line breaks, hyphenation, and so on, and also wanted to accommodate both the interests of people who use right-to-left text occasionally in a left-to-right typesetting environment and those of people who use left-to-right text occasionally in a right-to-left environment. And arbitrarily many levels of nesting, right-to-left inside left-to-right inside right-to-left inside left-to-right, etc."

David Romano


On Fri, 20 Feb 2009, Dotan Cohen wrote:

According to Wikipedia, Lyx "has substantial support for bidirectional
writing". So the problem is most likely with me, not with Lyx.

--
Dotan Cohen

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