Gentlemen who are introduced to ladies at a ball, solely for the purpose of dancing, wait to be recognized before speaking with ladies upon meeting afterwards, but they are at liberty to recall themselves by lifting their hats in passing. In England a ball-room acquaintance rarely goes any farther, until they have met at more balls than one; so, also, a gentleman cannot, after being introduced to a young lady, ask her for more than two dances during the same evening. In England an introduction given for dancing purposes does not constitute acquaintanceship. With us, as in Continental Europe, it does. It is for this reason that, in England, ladies are expected to bow first, while on the Continent it is the gentlemen who give the first marks of recognition, as it should be here, or better still, simultaneously, when the recognition is simultaneous. It is as much the gentleman's place to bow (with our mode of life) as it is the lady's. The one who recognizes first should be the first to show that recognition. Introductions take place in a ball room in order to provide ladies with partners, or between persons residing in different cities. In all other cases permission is asked before giving introductions. But where a hostess is sufficiently discriminating in the selection of her guests, those assembled under her roof should remember that they are, in a certain sense, made known to one another, and ought, therefore, to be able to converse freely without introductions. RECEIVING GUESTS. The custom of the host and hostess receiving together, is not now prevalent. The receiving devolves upon the hostess, but it is the duty of the host to remain within sight until after the arrivals are principally over, that he may be easily found by any one seeking him. The same duty devolves upon the sons, who, that evening, must share their attentions with all. The daughters, as well as the sons, will look after partners for the young ladies who desire to dance, and they will try to see that no one is neglected before they join the dancers themselves. AN AFTER-CALL. After a ball, an after-call is due the lady of the house at which you were entertained, and should be made as soon as convenient--within two weeks at the farthest. The call loses its significance entirely, and passes into remissness, when a longer time is permitted to elapse. If it is not possible to make a call, send your card or leave it at the door. It has become customary of late for a lady who has no weekly reception day, in sending invitations to a ball, to inclose her card in each invitation for one or more receptions, in order that the after-calls due her may be made on that day. SUPPER.