I think that's just regular projection.
Also, flirting is not the same as asking someone on a date. Just talk about topics of mutual interest (if the girl in question is a complete stranger, you'll need to get to know her a little bit for this to work). That's interesting for both parties and can qualify as flirting. If you hit it off, invite the other party to do something. If not, don't. If you are terribly lacking in confidence and can't ask her to do something, you could make a casual suggestion, such as "We should [insert activity here] sometime," and gauge her response.
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"A flower falls, even though we love it; and a weed grows, even though we do not love it."