There is a wide distance between rudeness and reserve. You can be courteously polite and at the same time extremely aloof to a stranger who does not appeal to you, or you can be welcomingly friendly to another whom you like on sight. Individual temperament has also to be taken into consideration: one person is naturally austere, another genial. The latter shakes hands far more often than the former. As already said, it is unforgivably rude to refuse a proffered hand, but it is rarely necessary to offer your hand if you prefer not to. =WHAT TO SAY WHEN INTRODUCED= Best Society has only one phrase in acknowledgment of an introduction: "How do you do?" It literally accepts no other. When Mr. Bachelor says, "Mrs. Worldly, may I present Mr. Struthers?" Mrs. Worldly says, "How do you do?" Struthers bows, and says nothing. To sweetly echo "Mr. Struthers?" with a rising inflection on "--thers?" is not good form. Saccharine chirpings should be classed with crooked little fingers, high hand-shaking and other affectations. All affectations are bad form. Persons of position do not say: "Charmed," or "Pleased to meet you," etc., but often the first remark is the beginning of a conversation. For instance, Young Struthers is presented to Mrs. Worldly. She smiles and perhaps says, "I hear that you are going to be in New York all winter?" Struthers answers, "Yes, I am at the Columbia Law School," etc., or since he is much younger than she, he might answer, "Yes, Mrs. Worldly," especially if his answer would otherwise be a curt yes or no. Otherwise he does not continue repeating her name. TAKING LEAVE OF ONE YOU HAVE JUST MET After an introduction, when you have talked for some time to a stranger whom you have found agreeable, and you then take leave, you say, "Good-by, I am very glad to have met you," or "Good-by, I hope I shall see you again soon"--or "some time." The other person answers, "Thank you," or perhaps adds, "I hope so, too." Usually "Thank you" is all that is necessary. In taking leave of a group of strangers--it makes no difference whether you have been introduced to them or merely included in their conversation--you bow "good-by" to any who happen to be looking at you, but you do not attempt to attract the attention of those who are unaware that you are turning away. =INTRODUCING ONE PERSON TO A GROUP= This is never done on formal occasions when a great many persons are present. At a small luncheon, for instance, a hostess always introduces her guests to one another. Let us suppose you are the hostess: your position is not necessarily near, but it is toward the door. Mrs. King is sitting quite close to you, Mrs. Lawrence also near. Miss Robinson and Miss Brown are much farther away. Mrs. Jones enters. You go a few steps forward and shake hands with her, then stand aside as it were, for a second only, to see if Mrs. Jones goes to speak to any one. If she apparently knows no one, you say,