After playing some Italian songs, Miss Bingley varied the charm by a lively Scotch air; and soon afterwards Mr. Darcy, drawing near Elizabeth, said to her --
"Do not you feel a great inclination, Miss Bennet, to seize such an opportunity of dancing a reel?"
She smiled, but made no answer. He repeated the question, with some surprise at her silence.
"Oh!" said she, "I heard you before, but I could not immediately determine what to say in reply. You wanted me, I know, to say 'Yes,' that you might have the pleasure of despising my taste; but I always delight in overthrowing those kind of schemes, and cheating a person of their premeditated contempt. I have, therefore, made up my mind to tell you, that I do not want to dance a reel at all -- and now despise me if you dare."
"Indeed I do not dare."
Elizabeth, having rather expected to affront him, was amazed at his gallantry; but there was a mixture of sweetness and archness in her manner which made it difficult for her to affront anybody, and Darcy had never been so bewitched by any woman as he was by her. He really believed that, were it not for the inferiority of her connexions, he should be in some danger.
Chapter 10
I like to think that Darcy was flirting a little with Elizabeth here: he really could not help himself , could he?
In any event, he could have danced a reel with Lizzy had she consented, as there were enough people in the room to make up either a three or four person reel.
Here are the instructions from my copy of Thomas Wilson's book The Compelte System of Dancing. (1812) which you might find useful,should you ever be at a loose end at Netherfield Park ;-)