Access POP3 content from other computer
Solution 1:
In general, no way to do this. With POP3 the mail are downloaded to the client machine and removed from the server. So if one client was downloaded mail, other client won't find on the server them anymore.
This removal could be offset by some time, mail clients often do have settings like "remove mail from server after N days". If you set that N high enough on ALL clients that access this mailbox and also guarantee that each client accesses the mailbox at least once per N days, your all clients will have all mail. Otherwise, some mails will not reach some clients.
If you disable removal completely, your mailbox will grow, and even if you have sufficient space to store mail, that will slow down mail processing for this mailbox, because POP3 wasn't designed to sync huge count of mails.
Or, you may go completely different route, configure only one client on some computer and give access to that computer via e.g. RDP.
The best is to consider this need as a proper requirement to cease with POP3 and employ IMAP for this mailbox.