Hi David. I'm not so sure that this problem is limited to Safari: we're seeing the same issue in Chrome (our default browser) also.
Using Chrome's Developer Tools I can see there are problems with each page which fails: your first two links have a 'file not found' (404) error for a file as well as a JavaScript error, but I don't know if this is enough to cause the errors or if they're not critical.
The second two links also have file not found errors, but obviously they aren't critical as the pages still load.
Digging further, the file that 404's is the following:
c328740.ssl.cf1.rackcdn.com/mathjax/latest/MathJax.js
...which is the MathJax.js file, and the CDN (content delivery network) which Xerte uses is down, or the file has moved, or something.
MathJax.js is found in the following places in XOT:
modules/site/preview.php
modules/site/play.php
modules/xerte/player_html5/rloObject.htm
Open each file in a text editor, and replace this:
c328740.ssl.cf1.rackcdn.com/mathjax/latest/MathJax.js
...with this:
c328740.r40.cf1.rackcdn.com/mathjax/latest/MathJax.js
This works for us: your mileage may vary! I hope this is of use to you.