Well ok, I try to explain what I want to do.
At first I forgot to tell, that I have setup all ajax requests in
synchronous mode ( $.ajaxSetup({async: false}) ) so after call my
get_results() function browser should wait for response.
Inside while loop is not only function call, but additionally
displaying get_results() results. This is a part of biggest script and
inside while loop I increase variable "i". Next I call get_results(i).
This function gets google search results  (var "i" is a google page
number) and return to me info about results. So I must use loop,
because I must check on which page number my searching results are.
Now in FF everything is ok. After start, table rows with results are
added at bottom of table, but in Safari when I start script, I see
only rainbow circle (browser "thinking" ;) ) and after few seconds
(minutes) completly table with results is displayed (not step by step
like in FF).

My English is poor. I know that, but I hope you (and others)
understand what I wrote ;)

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