i think delta may be overanalyzing, the subtle glances and smiles of women. lots of women politely smile, and show eye contact but that doesnt mean they are interested or are waiting for you to pick up on them. they are simply being polite, no mystery to it.
now if you are speaking of women that you see on a regular basis say at the gym, at the office complex, etc, then yes, i think a conversation can be made, and one can introduce themselves, and slowly meet and potentialy date the woman. but if its a one time situation where you see a girl (stranger) in public, that is different. i find if a woman does not know me, and i try to get to know her, that she will rightly keep her guard up and my chances will be low of getting to meet her.
Remember, women are very leary of strangers who approach them in public, and i dont blame them. Now if you are going to approach a stranger, then a line that works well is "You look so familiar, do you go to xyz university, ". shell say no, probably, but it is an ice breaker, and if the conversation goes somewhere, then cool.
Another thing, if you do approach women on the street, then it is always good to act like you are somewhat nervous or that u feel a little awkward doing it. women do not like players and if you are a player, you will not have a chance. Nervousness, shyness and being a little flustered when you approach a woman, shows that you are genuine and that you are not a player. i dont agree with one having to be super confident in order to get women. guys that are super confident are the players/jerks 99% of the time.
The more you approach women, the better you get, and YES it does take big balls to do it, but the results are worth it. Besides whats the worse that happens, shell outright reject you, but youll survive.
-LC
p.s. without saying, ALWAYS, look and see if shes wearing a ring before you approach her.