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You could probably do it somehow, but not in the same way. Take a look at all the connectors you could use, and then look up how they all work online - that'll give you a starting point at least. The way these old monitors work has a lot to do with why this is doable without too much modification - on a modern monitor (even a standard VGA CRT) you would have to provide a dummy signal since the monitor tries to use the signal to detect its refresh rate and resolution - or figure out when to turn off.

So I guess the answer is that yes, it's possible to do, but it may be more involved depending on what sort of connections the TV uses. If it has an analog hook-up (the "yellow cable" you might use for game consoles or something) then I'd bet that would be the easiest to do this to.