Is in that such entity as a home theater projector that have right trait as a hdtv?
Answers:
yes
I've read contained by dedicated magazine and a television program that the answer is yes.
Yes, within are. Be prepared to pay for it though.
Just google "hd projector". be warn, in most cases, you return with what you pay for. Also, you will want a projector rate for about 2000lumens or more, don't run less unless you want to turn out the lights and close the blinds every time you want to study TV. Sure ... better because it's a bigger picture. You won't get one that looks as correct in a bright room ... similar to a plasma, but in a dim/dark room projectors are as honourable as all but the real best plasma ... and a fraction of the price.
1080p projectors with 20:000:1 contrast ratio can be have for $2500 and some are as low as $1800. A 720p projector is even less ... $1000.
See the links for info ... the concluding one is to screen shots (Caution lot's of big pictures). Don't drool!