Can I connect to any other machine than alchemy using the “MindTerm SSH” from my local browser?
Yes, under certain conditions. You have to load the MindTerm SSH applet to your local machine first. The easiest way how to do that is to connect to alchemy first. The connection will load the applet to your local machine and once the applet is loaded you can connect to any other departmental machine that runs an SSH server directly. Of course, you can just connect to alchemy as described in 4. and telnet to your departmental machine from there.