This section of the book is from the "Household Companion: The Home Book Of Etiquette" book.
When a lady has accepted an invitation to dance, the gentleman offers her his right arm, and leads her to her place on the floor.
A slight knowledge of the figure is sufficient to enable a gentleman to move through a quadrille, if he is easy and unembarrassed, and his manners are courteous; but to ask a lady to join you in a waltz, or other round dance, in which you are not proficient, is an offence not easily forgiven, as it may expose the lady to awkward embrassment.
It is inadvisable to dance in every set, as the exercise is unpleasantly heating and fatiguing. Never forget an engagement--it is an offence that does not admit of excuse, except when a lady commits it; and then a gentleman is bound to take her at her word without a murmur. It is quite probable, however, that he will remember it against her, and take care not to be again victimized by her.
At the end of a quadrille the gentleman should offer his right arm to the lady, and walk half round the room with her. He should inquire if she will take refreshments, and, if she replies in the affirmative, conduct her to the room devoted to that purpose. It is good taste on the part of the lady not to detain her cavalier here so long as to prevent him from fulfilling his next engagement, since he cannot return to the ball-room until she is ready to be escorted thither, and resigned to her chaperon or friends, or to the partner who claims her promise for the next dance.