Approaching someone in the library?

How would I go about doing that? I'm not very good at introducing myself to completely new people, it's enough if I have a mutual friend I get anywhere in terms of making friends. Talking to a attractive girl for the first is always tough for me lol.

By doing the above the ice is instantly broken, I have no idea what the name of the people i was dancing with were called but i will find out, i was just dancing with everyone and they were just enjoying it so conversation was not needed at the time, i usually brick it but yolo no or move is tgewworst so go for it.

''Hey shawty. lemme holla at you right quick ya know what im sayin. checkin you out over there you lookin kinda good, ya know what im sayin. so i was wondering ya know how about you and me go back to the place, get comfortable, probably sip on some of this henney, you know what im sayin, and after that, you know what im... sayin, we can do the grownup and you can let me clap on dem cheeks, ya hear me?''

What about in the library? lol, or any situation during the day when nobody's tipsy/drunk?