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TdeV - here's a good place to start - pretty sure it hasn't changed much ==>>
How To Access Your eBook Collection Anywhere in the World
And here's the relevant command line ==>>
calibre-server
If you go to the
Preferences ->Sharing over the net and click the Start server button, and then the Test Server button - you should be able to see your library in your desktop browser.
Take note of the url (will be an ip address and a port number - eg 10.1.0.2:8080) and enter that into the lenovo browser - if the desktop and lenovo are on the same 'network' then the calibre server page should show. If it doesn't then you may need to tweak your network.
If you like what you see then someone can help with the next step - accessing the calibre-server over the 'net. The principles of that is covered in the How to Geek write up.
BR